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The principal value of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD8AAAAmCAYAAABzhkOMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAAApFJREFUeNrdWjFIHEEUHQ6xCNeIhEMkpBGxELEREZEQkCByBLEJFhZBkBBCqoCIiIRDsD6OAwlBRA6bYCUiiAQLERsREbE5UqWQa0IQCwlc3te/YW6ydzuzK97MPHjgjnvjPXfm//f/rBDheA8WhB/Isx4tjICnYIsn4knHGfgi6sYn4A+wX/iFXtaVbnRTDiwKP5FnfaF4Cv4COz0V3wH+Zp3/YQHcsPjLU9C6AasNOBcxx1dwMewXFxzsbMU6+Az8Bk5I43Sd1ZxjGLxUB7vBiiPLt8z/hAAUyDIGn78Ce+SBt2DJkbR1o1xfG85RYr01S+qdA+KHwO/K9b7hHDOs9x+2wXEHxE+Ba9L1G1WIBsbAHXmgUi8FWIaismRzMWx4Wo1vtI9SmtFyC/wJHoCDTQh2svtcBvfALnanOkgpceMuR0ZhkIWnJFNUfkThlN5OlLEBNi6m/uTWVPxpiPvbBfs0/2DVou1TNflio0qgCbBpECidFf8FnAwZp23wynfxFw38dMZn8SkOKrrj8pxRTPLZuHMbic/UcVEDXFQIn598kOJULKke2UfxaU5zMto457b6Lp5wDn7kn6kcPDKooZ0X38dPn5wRdUJfC7dRo/ePgwKyCVbTbZzCxhakJe+RtCFyV6W1OSR+lZsSccS3qyXtNhf5LmBY8h1xxI+rzYw1w5zdLLRywH2eQPysWqRNC7t79gFWwA8J0+em+qCpdX1luXBKt4cP4B0qQmldC15OQxaLPxb37aok4l+KkEMLwidxf5xjszGJW8UFoK09Xy8FuHZQafLk6ZTnmnWGgiq1gqfiqRv1udEN1P4tC/2mpCviqd0d+XJCYCJ8ei0l8AbaJ9BkBHx5Q4O2ceg55F+P/cJkgWvIgQAAALF0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bWk+JiN4M0I4OzwvbWk+PG1vPis8L21vPjxtZnJhYz48bWk+JiN4M0MwOzwvbWk+PG1uPjQ8L21uPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48L21hdGg+kYE5rAAAAABJRU5ErkJggg==" class="Wirisformula" alt="open parentheses theta plus pi over 4 close parentheses" width="63" height="38" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced separators=¨|¨»«mrow»«mi»§#952;«/mi»«mo»+«/mo»«mfrac»«mi»§#960;«/mi»«mn»4«/mn»«/mfrac»«/mrow»«/mfenced»«/math»'/> where <img src="data:image/png;base64,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" class="Wirisformula" alt="sin space theta plus cos space theta equals 1" width="123" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»sin«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»+«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mn»1«/mn»«/math»'/> is

Solution for the question - the principal value of (theta+(pi)/(4)) where sin theta+cos theta=1is (pi)/(2) '/> (pi)/(4) '/> (3i)/(3) '/> 0^(6) '/>

The principal value of (theta+(pi)/(4)) where sin theta+c-Turito

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Solution for the question - in the arrangement shown in figure all surfaces are smooth. select thecorrect alternative(s) normal reactions exerted by the wedge on the blocks are equal

In the arrangement shown in figure all surfaces are smooth. sel-Turito

If <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHEAAAANCAYAAACenoFqAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAmNJREFUeNrtWDFLAzEUDkXEoYuIFBERnERK6SJFikhBRIpIERwcRMTNQfwDIuImDq7FwUlcRBxEXESKgxSkiEgpQhEHEZcON0gpwvmCX/EM6TXN5a4dfPANCbkk7315X16OsR9LES4Jn4Qq4ZlwQOhjv2YrIGhLEs4Ib4QcIeHjWsOEfUKRUEOMdoUYtdXXG8ICodvRFydcuUzaDtKcloBTIbT7CWWf1pon3BNmHesNENaaxKiRVYL01epgEh8Ig0IfD2jM8DpjCFivwTntoHwdIZQ8bISf3rxDepINvl9EkKqQiSEFp6YJR5L+E0LaMIlZwnoL4+cckltEHJjLteSLrxHCKgKf9kDiMU4xw3xPku85gXu4b+rjcgqOHUL+ReOSM+OyX507/VWSBW6yxw9kFO0o2hMeMrElX0WHNg1KQggnU/w+pTBOZkUXIiKGM7HWwthTZKKYmeceYqflK9f+DKRwyqCu24rf2woHwmqhP0gSLaE4ZGhbmrHz7GsYROqSuAVJ/mogV7ok8tN3LekfRyYww3JaVLyn3fZe0yRR19c/VtUkMYv7rseHTKyX26Jt4041bfxtuNGmTPTsawyZpEOi5aOchlFyi1dAQRJAE8az8AXvQpU7UaxGMxIiao43nzFfc8icLkyewsZXNEks4SHMUNnxPxvvQpWnSyJDpVvPjlHCnaSgMGkLiMeyI3gRtG8FmSs7qvIY2knJu29JcW1lXycJF5DPKv7gNAuK3SSLCzhxecjCDuHDEIkxBILP/yg5/X5YHJlmYY8VPKOSkmq0hL09IRNFSyEWnerrvwVt3/YY4N0+FggGAAAAv3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiIGNsYXNzPSJ3cnNfY2hlbWlzdHJ5Ij48bW4+MzwvbW4+PG1pPlRhbjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPiYjeDNCODs8L21pPjxtbz49PC9tbz48bWk+Q290PC9taT48bW8+JiN4QTA7PC9tbz48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPjyQATUAAAAASUVORK5CYII=" class="Wirisformula" alt="3 Tan space theta equals Cot space theta" width="113" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ class=¨wrs_chemistry¨»«mn»3«/mn»«mi»Tan«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mi»Cot«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«/math»'/> then <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=" class="Wirisformula" alt="theta" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#952;«/mi»«/math»'/> = - ... -

Solution for the question - if3 tan theta=cot theta then theta = - ... - +-15^(@) '/> +-45^(@) '/> +-60^(@) '/> +-30^(@) '/>

If3 tan theta=cot theta then theta = - ... - -Turito

Solution for the question - in the pulley system shown in figure the movable pulleys a,b and c are ofmass 1 kg each. d and e are fixed pulleys. the strings are

In the pulley system shown in figure the movable pulleys a,b an-Turito

<img src="data:image/png;base64,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" class="Wirisformula" alt="x equals 8 plus 12 t plus t to the power of 3 end exponent" width="114" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«mo»=«/mo»«mn»8«/mn»«mo»+«/mo»«mn»12«/mn»«mi»t«/mi»«mo»+«/mo»«msup»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»3«/mn»«/mrow»«/msup»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="v equals 0 plus 12 minus 3 t to the power of 2 end exponent equals 0" width="142" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»v«/mi»«mo»=«/mo»«mn»0«/mn»«mo»+«/mo»«mn»12«/mn»«mo»-«/mo»«mn»3«/mn»«msup»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mo»=«/mo»«mn»0«/mn»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAARCAYAAACFOx+nAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAXpJREFUeNpjYKAe+A/Fv4D4KBCrMIwwwATEWUB8jmGEgh8j0dP2QHxwKDjUEYi3AfE3aEzdAuIJQCxMhlmS0DyuREP3qgFxLRBfwCFvDcRrgPgTtMwBqYvGpnA/EAcBMRuSmAEQ78CiVgXqMVwO2gL1PC3BYiBOgxam2AAotUUCMQ+UrwV1cySxFnzCIgYKoKU4YhqUavjomFL/k6BWHogvEaMQlFRvoInVI1VbIFyOJAfytAads+h/EtXjLXDFgTgRms+9sMivAuIAPPU4MiZU5+PD1Pa4Ja4sim5xAQ4DbkCTzWAAxHqcA4hPQgs9nEAQGqMnodUSeuPk2yCqjYjxOMg/G4DYjVhDeaCeRwbmVKqf6ZXUlaCeJrn5jF4YgKqDhUMkxkEF7Wwg5iLVUD1oAYcMQI2anCHgcXFoIcxCyABQ8g2FKmSCtuTuA3E8mropQDx3CHh8C7FVqy1U8Q8oBrXkfLCoA7WAnkItZBtgD+MrEygtO4YvAAD6XHDkYK7NeAAAAH90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+MzwvbW4+PG1zdXA+PG1pPnQ8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPj08L21vPjxtbj4xMjwvbW4+PC9tYXRoPv+2mgwAAAAASUVORK5CYII=" class="Wirisformula" alt="3 t to the power of 2 end exponent equals 12" width="62" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mn»3«/mn»«msup»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mo»=«/mo»«mn»12«/mn»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="t equals 2 blank s e c" width="64" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»t«/mi»«mo»=«/mo»«mn»2«/mn»«mi» «/mi»«mi»s«/mi»«mi»e«/mi»«mi»c«/mi»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHMAAAAjCAYAAACnzTURAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAxFJREFUeNrtmlGEVGEUxz8rY60V+5BkH3pJkmRJRlbWkrWSrEhWT4l9WD301sMaSW89ZSVWskZGrPSQ1UuyVpJYSZL0mnlYkWSNa8R0zu7/2q+v7975Jvdb527nx587587cub7vu+c759xjjHxapD6jlJ5DpA86DLuDKdJjHYbyMUiaJ/0gJaQnpHukGzh/gdTw/O4l6awOnxx4T1whXcHxXtJNUgdPZ+py3zu/GyO91eGTRc16Am2+kIZzgqE3pDM6fLL4CjfrPq0tx8aTdxzHk6RVHTpZjGRMShWu16ZOuohjdrmndPhkwYHNI499mrTo2GZJd7CPvtChk5l+LHnsPMEzjo2j1qekj3iiFWEMkD5Zk3OCtExqelKOAaQtz3TY5LIfT1yCIGec9J3U7/ku56HHdvj+OFW6jzSItQBbLE7CW/20Fu+YLpNi4MLEeevzOdhiMIPJO2wtpMukV873OO9+rVPTGxw9z3vsdxGkFclR0loPgWMj6yTndbdI66Q2Qv+DOpebZcUJj30c54pkIXCBpNWxVH8VXJaxAocwsUtmu5TmoxMgSfzr/fLeXfHYK1j4RfKZdCDwu5nzM+1JD+pGC9jMr5xz7YL/K8FeycFgC9dfw57pm3iv51zxVFNWI7rZTkTt5GQmBXsBtr/DQ7QHHnLUbNWoZ50tsZV1U24Bm483IrmtsrnZ9Qw32x/BzXIqMuyxjyDvTqmanLr0N+fzKFaIshXkTHrsExECoOcmu0Wm7WyL9ayLNJ0EvRbhRssKpwAPPPbFCKkJu9JLHvsR8+d7W06LrmVd5DbC4j7skw2sEmU7priOfYxd7pyJ8/qtgutexX+lLpX7oOz3ttyB8TDvQnOIaGvWfjCl87jJEAYvQXzBC38w0n/tgyfYQPDFk3vaU1xoYp+vhF5UCtpuuUtw2y21Jlli3HbL3JqkIodu7ZZda5KKDELaLY3pXjNWBBDabplZk1TkENJumVuTVGQQ2m5ZNdorK57QdsvcmqQiJ/0IabfMrUkqMghtt+xak1RkENJu2XNN8n/iN4IW85NgAGJVAAAA1nRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5hPC9taT48bW8+PTwvbW8+PG1mcmFjPjxtcm93PjxtaT5kPC9taT48bWk+djwvbWk+PC9tcm93Pjxtcm93PjxtaT5kPC9taT48bWk+dDwvbWk+PC9tcm93PjwvbWZyYWM+PG1vPj08L21vPjxtbj4wPC9tbj48bW8+LTwvbW8+PG1uPjY8L21uPjxtaT50PC9taT48L21hdGg+QowKDwAAAABJRU5ErkJggg==" class="Wirisformula" alt="a equals fraction numerator d v over denominator d t end fraction equals 0 minus 6 t" width="115" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»v«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mn»0«/mn»«mo»-«/mo»«mn»6«/mn»«mi»t«/mi»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ4AAAASCAYAAACq92fYAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAr1JREFUeNrtWE9EZVEYv5I8SWQ8z1sk8uR5q0hGZtEms2iRRPKkbYu0T5Kk/RiZzUjGGG2SMYunXZ6kRSRpkbR5WiRPJBlJ4vYd/S7XnTvv/Lvndm+dHz9e573uPd+f8zvf9zmOhYU5uOAjcZ9YsC6xiBNNxBnikXWFhQx6oVi6eNCVTo9Jlfak7i+tWCNOaj5jkLirE9jXwCfiFvEO9cKxgCOSnHg9xEXYEZW9ppAl1nBdqiIPxew2kXiFiOQ4DOyklIlt+LuEd5VTmni/iNMN9qhiryks4JDoHLIKks8xkXhjxI0YHdJFPElp4qnskWevqaagBtVTVbptYjvvJcvEuk/euwQdtRSoreZicszDO0o80eJ8Cf7PEVcRzyviML7vIH4h3uAqn2/wLKaw6wKKeEF8Cok9S7oib8MVbLQDSbhJHJVwVNjvecW/q9EQDHCudjeGPcSZeDx7/XFgyXeIxGmGgNSgQOwan8B6J5I5959n7RH7OEnHGo8WCV//k9mbgbWfvlMi4qizEIU0hQzxAEX4e1A8EXs9nBN3ICB+XCJJwtbziiMU9v2QjgOqOFHBAlf0qmUKeR9TsJjj/hA/v2JXG5VquhHa649Dq+S66ghl3HkZCo+oOvI+0C6zz38lHPVRcEajG7BuBKGgEdQ0XbUy9npxqEawLjNCyeNKrvq6cGFch8yRjiQcVcbVbBJFnMJWQ4V70q5aWXu9OPyIYF12hJJBxz0l64BL/LMH9tItCUd9Jc4aDFAONWizwY4xSYmnYq+D5nBac111hLLuKAy5V4jf8VJW122gFRZ11DeBtlsHFZG2/A0lnoq9DL9DGkLZ9bJCLPuJp8QPKk5YwClbhPrVJcYpJaim26C1NlXMpzHxeHao1p83gZtLZZ03QvFwi/08ob4rRuWcbEpVJI17tZA8qXZ/Fkp4Bi0pBv5xEnVwAAABDHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5hPC9taT48bWZlbmNlZCBjbG9zZT0iXSIgb3Blbj0iWyIgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1pPnQ8L21pPjxtbz49PC9tbz48bW4+MjwvbW4+PC9tcm93PjwvbWZlbmNlZD48bW8+PTwvbW8+PG1vPi08L21vPjxtbj4xMjwvbW4+PG1pPiYjeEEwOzwvbWk+PG1pPm08L21pPjxtbz4vPC9tbz48bXN1cD48bWk+czwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21hdGg+QmkWtAAAAABJRU5ErkJggg==" class="Wirisformula" alt="a open square brackets t equals 2 close square brackets equals negative 12 blank m divided by s to the power of 2 end exponent" width="158" height="18" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«mfenced open=¨[¨ close=¨]¨ separators=¨|¨»«mrow»«mi»t«/mi»«mo»=«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mo»-«/mo»«mn»12«/mn»«mi» «/mi»«mi»m«/mi»«mo»/«/mo»«msup»«mrow»«mi»s«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/math»'/> Retardation <img src="data:image/png;base64,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" class="Wirisformula" alt="equals 12 blank m divided by s to the power of 2 end exponent" width="85" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mn»12«/mn»«mi» «/mi»«mi»m«/mi»«mo»/«/mo»«msup»«mrow»«mi»s«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/math»'/>

The motion of a particle along a straight line is described by equation: <img src="data:image/png;base64,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" class="Wirisformula" alt="x equals 8 plus 12 t minus t to the power of 3 end exponent" width="114" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«mo»=«/mo»«mn»8«/mn»«mo»+«/mo»«mn»12«/mn»«mi»t«/mi»«mo»-«/mo»«msup»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»3«/mn»«/mrow»«/msup»«/math»'/> Where <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAKCAYAAABi8KSDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHFJREFUeNpjYECAZCDuYMAEzVA5DHAOiMWR+IlAPIUBB/AA4j4o2wWI9zIQALuB2B6ILwCxMCHFBUD8C4j1CCm0BuI1UKdE4lOoBMSbgJgLiHmA+AwuZ4gC8TY0SR8gXoyukA2I1wGxNBZDlkNDiHQAAJxHEBolHuC4AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT54PC9taT48L21hdGg+wQ7kJQAAAABJRU5ErkJggg==" class="Wirisformula" alt="x" width="11" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«/math»'/> is in metre and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAMCAYAAACulacQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAFJJREFUeNpjYEAAFSA+yoADBAHxUmwS9UD8HwmXoytYBcQBuIy9AcTy2CSYgPgbLl3mQHwQl2QkEC/EJTkBiHNwSU4B4rm4JLWA+CnUj2wMxAAAUOcO8HZIaP0AAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnQ8L21pPjwvbWF0aD5btF3eAAAAAElFTkSuQmCC" class="Wirisformula" alt="t" width="7" height="12" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»t«/mi»«/math»'/> in second. The retardation of the particle when its velocity becomes zero, is

Solution for the question - the motion of a particle along a straight line is described by equation:x=8+12 t-t^(3) where x is in metre and l in second. the reta

The motion of a particle along a straight line is described by -Turito

The velocity-time and acceleration-time graphs of a particle are given as <img src="data:image/png;base64,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" alt="" /> Its position-time graph may be given as

Solution for the question - the velocity-time and acceleration-time graphs of a particle are given asits position-time graph may be given as

The velocity-time and acceleration-time graphs of a particle ar-Turito

Displacement <img src="data:image/png;base64,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" class="Wirisformula" alt="equals open parentheses 2 cross times 4 minus 2 cross times 2 plus 2 cross times 4 close parentheses equals" width="189" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mn»2«/mn»«mo»×«/mo»«mn»4«/mn»«mo»-«/mo»«mn»2«/mn»«mo»×«/mo»«mn»2«/mn»«mo»+«/mo»«mn»2«/mn»«mo»×«/mo»«mn»4«/mn»«/mrow»«/mfenced»«mo»=«/mo»«/math»'/>12m <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKIAAAANCAYAAAAquLUgAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAWRJREFUeNrtl6FuAkEQhleQpiE1VUiSpoIg6ht8FS/QIGv7Bn0BXqHhDUhFRV2DQFTgCIIHQRHM8JOsqDianZmb6e6GP/kFd7n7892/O9yF0J5G8Ae8gw/wGp4EH41hMrq3J1etWZ59hSX8DN/E30P4Jx6z1ClvawjmyVVrlmdfjerDG+OMd/hFAEaZc0mzqNK+1Nr/ce4tmnvu99/LQlgAZczFySqJi9UXJThVj3HcByZcCtRV3L39f1iIllySrBK4tH2JdQ2v4i4IDLjUsqbwq6IAypRLmpU7l7YvkW7hT/iJcc0J5jsR6qFh51JCQdpJb80lySqBS9KXGuwuQt0zHzwHbNVwf+uJ6MGlzcqVq42+WBrAM7grgOKM+jbeYSlDLk1WzlxtfXMkqQfP4Y4CSvNSbzURPbmkWblzWXzdn9VX3GFaKCmc1UL05JJklcDluhDdRq8zmCdXrVmuC/Gii8Q6AgtO60smNarpAAAAxnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz49PC9tbz48bW4+MjwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjQ8L21uPjxtbz4rPC9tbz48bW4+MjwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjI8L21uPjxtbz4rPC9tbz48bW4+MjwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjQ8L21uPjwvbWF0aD5W2+4OAAAAAElFTkSuQmCC" class="Wirisformula" alt="equals 2 cross times 4 plus 2 cross times 2 plus 2 cross times 4" width="162" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mn»2«/mn»«mo»×«/mo»«mn»4«/mn»«mo»+«/mo»«mn»2«/mn»«mo»×«/mo»«mn»2«/mn»«mo»+«/mo»«mn»2«/mn»«mo»×«/mo»«mn»4«/mn»«/math»'/>=20m

A body is moving in a straight line a shown in velocity-time graph. The displacement and distance travelled by in 8s are respectively <img src="data:image/png;base64,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" alt="" width="254" height="98" />

Solution for the question - a body is moving in a straight line a shown in velocity-time graph. thedisplacement and distance travelled by in 8s are respectively

A body is moving in a straight line a shown in velocity-time gr-Turito

In order to raise a mass of 100 kg a man of mass 60 kg fastens a rope to it and passes the rope over a smooth pulley. He climbs the rope with an acceleration 5g/4 relative to rope. The tension in the rope is <img src="data:image/png;base64,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" class="Wirisformula" alt="open parentheses straight g equals 10 straight m divided by straight s squared close parentheses" width="99" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced separators=¨|¨»«mrow»«mi mathvariant=¨normal¨»g«/mi»«mo»=«/mo»«mn»10«/mn»«mi mathvariant=¨normal¨»m«/mi»«mo»/«/mo»«msup»«mi mathvariant=¨normal¨»s«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«/math»'/>

Solution for the question - in order to raise a mass of 100 kg a man of mass 60 kg fastens a rope to itand passes the rope over a smooth pulley. he climbs the r

In order to raise a mass of 100 kg a man of mass 60 kg fastens -Turito

Solution for the question - two blocks a and b of equal mass m are connected through a massless stringand arranged as shown in figure. friction is absent everyw

Two blocks a and b of equal mass m are connected through a mass-Turito

<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhYAAAAPCAYAAAC4AYapAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAABi1JREFUeNrtXG+EXVcQP9aKiigromKtsNaqFSusqrWq9ktVrLVCVFSstURE9UOUiuqH6JeqithvtWpVVamoiIh+qbXqqbKqH6JWqIqop0I/rIr1PG7PeLPuMXvOPXP+vLf39c4w3nvnzp1zzsz8zp0799ynVEmFwV3N+5q3NE8pOxWqf9RP3ULhdGuIx/625j8wpiWuhocKwdb/BluCuwbjiXZ8WvOq5ieab0piMVD6p0ZjuYD+eHVIbflU84zEjSyENaSmYKsQPEliQekVzW3MTmVRad78v9b8JbLYUuYqJNgKjbdC8CQXMxtd13zPIz+peVvzC1U+UqHys5p3NHcwWbkZMJZlzb/guVBFWbDILKD+A8ymr5LjVzQ/w+PwmOclR78XNe+iHMz7FLYv4higvaV5OlL/ZdUrIR7geCeITOGw4aCDHca1h99/J+M0xzOB84XHZ91Am3B9S2kJx9TBz2XH2Kps6bNpbAyHxDonZqrsy5mrT4fP/rnnU0TEeYiPUjAs2MqLLZfvqvrYtVRxTmIFYZS0v675vuCpvniqCo6zaMAq+V1HAJryLQyoEdTZQsNxxvKNKstua5ofk+NQVnyueQX1T+M5ZgDuYUDA8Wua71j6vYYJ0mFf8DhoAw1rtl/FOYfqh6TiM83njLnsBPiCk1gUDObQ55pv4PcbOG5bX7AwrGs+YQG9zyYc3yqLXkjMzuPv8/h7PsFeXJBxYpgrx40Zl31D5lGlw2f/nPOhBHjYzLwQxmJ4kNQUbNnkfH3ARfY2OWcdZd4l7XeNG0jBUw3x5AuSjkceKhVjHifR4/OWiypnLCOW8UAW9X7FOd9bHNe29HsP9ZsE2dgXlvZuhP5FxlzqUII7hUA+BA7cKfxpZKrmWOcSbM7xrbL4eslyB3R/AIkFJ4a5ctyYmUusOobocMVjrvnQu/afHXfaKQthLIYFW/mxZZPz9TGO9jDpJ9V7HP8jaX9m2E3wVEM8FR7jvPDIr1RUIFz6bXpjLwZQUXm5Qv5f1dsvQs+hOl1O8TmLq18lOH2QBLvVPyZt8PvDgLFybBJTldm33CmccOjOnVjEYMMllxIzKfMI1ZNzPib9oHol4RRMFBkxPIgqYNOw5VqrfX1sGxWMKbxgAv2qymrvm5ofCp7qjacqY005yjm2THwTy0TTTP0dpuMAeE9U+WpT6MWYsxgUCQGWU39qYpG6CI7iHRXNqsfQByPMsXL79vlWZY4lldkvnQS52JjJuRDGYqsT6W+gj1Rv75bqw0LYz4tEKjUNW7E4gvL7Bn7/RJXV6A+MpAzumFcFT/XGU5Wx4JnX3QD5W5hZ+uQhS/2LMTgIoMskQ6Iyzz0VC9j4czJzIBV90n/cFYvrnqRknTlWjk04vq1zxcIWw1y5lJjJtRBy7J9zPkCvqV6ZN8fFaNgSi6ZhK7ZiAYlWGxMteCxyBtsn8De0/00SNMHTECUW4NCn6ugfZfkenXDu4t5R9letCkb5h8psquo9FlsEtLkTi5z6O+ros6tBElSnJh3HzpHqVZFo85gFC5750Y3CKw5wcRaSrsXeG0yQ2WKYK5cSM647npFAHfuRi0vsfKCqCc/LTwfOO8VHdUosmoYtmxy3D9hz8anmR6S95WgXPNUQT7QBMiXYL7GHkw4xLhhj2yL/QJU7gWdR9xRD955h4HEsjbXx+yFNYgJ0CQ02ThwF/UAJ8i0DxF9lNGJO/b+psL0qOemiOvpqMaVvUc43Ho5NOL61Zeigd8aIJfi9EGkv2DS1aoz5O4z5IjKGuXIpMWMjV9xU6eDYP+d8thTvlcciwUd1TSyaiC2bHLePK3hxp38b8B62rwme6o8n+pfebRz0TEDJ5PBcyCTPWo6vqfIvYOFRyRtM3bMoD8EE78zCazi3sRRm0gU83sWgWLYEdAuPP7YcTzViLv2LOLfj+B+LHZxHFc1hlswZj88mXN9SWkIwdlDvSsKFY0KV75TDrvP5ihjnxHBIrMfGjI1ccVOlg2P/3POJee8+xEd1TSyaiC2XHKePUawA0E2CZ/C8McFTo/F0PB0KCR1TDBcNnbeQkJDgSYwpJCSJhWBXSEjwNJx0ICYQakgMHwh2hYSEmoqn/wD3G1hKXrtRRAAAANl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXRleHQ+RGlzcGxhY2VtZW50OiYjeEEwOz0mI3hBMDtBcmVhJiN4QTA7b2YmI3hBMDt1cHBlciYjeEEwO3RyYXBleml1bSYjeEEwOzwvbXRleHQ+PG1vPi08L21vPjxtdGV4dD4mI3hBMDtBcmVhJiN4QTA7b2YmI3hBMDtsb3dlciYjeEEwO3RyYXBleml1bTwvbXRleHQ+PC9tYXRoPnbl1moAAAAASUVORK5CYII=" class="Wirisformula" alt="text Displacement: = Area of upper trapezium  end text minus text  Area of lower trapezium end text" width="534" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mtext»Displacement: = Area of upper trapezium «/mtext»«mo»-«/mo»«mtext» Area of lower trapezium«/mtext»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="equals fraction numerator 1 over denominator 2 end fraction open parentheses 2 plus 4 close parentheses cross times 4 minus fraction numerator 1 over denominator 2 end fraction open parentheses 2 plus 4 close parentheses 2 equals 12 minus 6 equals 6" width="292" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mfenced separators=¨|¨»«mrow»«mn»2«/mn»«mo»+«/mo»«mn»4«/mn»«/mrow»«/mfenced»«mo»×«/mo»«mn»4«/mn»«mo»-«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mfenced separators=¨|¨»«mrow»«mn»2«/mn»«mo»+«/mo»«mn»4«/mn»«/mrow»«/mfenced»«mn»2«/mn»«mo»=«/mo»«mn»12«/mn»«mo»-«/mo»«mn»6«/mn»«mo»=«/mo»«mn»6«/mn»«/math»'/>m

The velocity-time graph of a particle in linear motion is shown. Both <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAKCAYAAABmBXS+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAGpJREFUeNpjYICAICBeyoAJ9gKxF4yjAsQX0BTYA/FJdF3fgJgJiX8ciF3QFYEE9aBsDyA+iMV6hoVAHAplg6y2xKYoC4i7gDgAiHcz4AAgX6wD4itAbIBLERcQ/wDiTQwEwAcg1mEgBwAA5+gQxmAj9O8AAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnY8L21pPjwvbWF0aD476OiVAAAAAElFTkSuQmCC" class="Wirisformula" alt="v" width="9" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»v«/mi»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAMCAYAAACulacQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAFJJREFUeNpjYEAAFSA+yoADBAHxUmwS9UD8HwmXoytYBcQBuIy9AcTy2CSYgPgbLl3mQHwQl2QkEC/EJTkBiHNwSU4B4rm4JLWA+CnUj2wMxAAAUOcO8HZIaP0AAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnQ8L21pPjwvbWF0aD5btF3eAAAAAElFTkSuQmCC" class="Wirisformula" alt="t" width="7" height="12" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»t«/mi»«/math»'/> are in SI units. What is the displacement of the particle from the origin after 8 s? <img src="data:image/png;base64,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" alt="" />

Solution for the question - the velocity-time graph of a particle in linear motion is shown. both and lare in si units. what is the displacement of the particle

The velocity-time graph of a particle in linear motion is shown-Turito

If <img src="data:image/png;base64,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" class="Wirisformula" alt="y plus Cos space theta equals Sin space theta" width="126" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»+«/mo»«mi»Cos«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mi»Sin«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«/math»'/> has a real solution then

Solution for the question - if y+cos theta=sin theta has a real solution then y y > sqrt2 '/> -sqrt2

If y+cos theta=sin theta has a real solution then -Turito

Solution for the question - in the following arrangement the system is initially at rest. the 5 kgblock is now released. assuming the pulleys and string to be m

In the following arrangement the system is initially at rest. t-Turito

The equation <img src="data:image/png;base64,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" class="Wirisformula" alt="square root of 3 sin space x plus cos space x equals 4" width="149" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«mn»3«/mn»«/msqrt»«mi»sin«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»+«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mn»4«/mn»«/math»'/> has

Solution for the question - the equation sqrt3sin x+cos x=4 has no solutioninfinitely many solutionstwo solutions

The equation sqrt3sin x+cos x=4 has -Turito

A particle is moving along the circle <img src="data:image/png;base64,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" class="Wirisformula" alt="x squared plus y squared equals a squared" width="88" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«/math»'/> in anticlockwise direction. The x–y plane is a rough horizontal stationary surface. At the point <img src="data:image/png;base64,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" class="Wirisformula" alt="left parenthesis a space cos theta comma space a space sin theta right parenthesis" width="118" height="17" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»cos«/mi»«mi»§#952;«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»sin«/mi»«mi»§#952;«/mi»«mo»)«/mo»«/math»'/>, the unit vector in the direction of friction on the particle is

Solution for the question - a particle is moving along the circle x^(2)+y^(2)=a^(2) inanticlockwise direction. thexy plane is a rough horizontal stationarysurfa

A particle is moving along the circle x^(2)+y^(2)=a^(2) in -Turito

If <img src="data:image/png;base64,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" class="Wirisformula" alt="1 plus sin squared space theta equals 3 Sin backslash" width="132" height="18" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»1«/mn»«mo»+«/mo»«msup»«mi»sin«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mn»3«/mn»«mi»Sin«/mi»«mo»\«/mo»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="t h e t a" width="41" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mi»t«/mi»«mi»a«/mi»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACwAAAANCAYAAADSdIySAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAX9JREFUeNrNlTFLA0EQhY8UV6UJIkFEBAsRCcFGgtiKiEiQdBYWIZ2FvZWFrX9ALKzERoKV2IiIiE0QkXCIcIiFbYoUKYKgb+AJe8Nc7nJI9MFX7GMzzM7MTTwvqmlwCALQB6/gAIx5o9UyaIIPcAsq1qUqaIE1kKM3ARrgaoTJVpjsTw7jINSX5mkWvL/XE5hUnhSs7BpHYGeIoBvO2ATsjtYMuAE98EWStAJODP8MrLvGu/GqQS2TbpR4LvG8pO61Yh4ySMegZvgyIquu0R8i6DkrrCt+obxehhELnG5oilkT7gJfeT59V5vgHmyljJszYsT68rKplIHjZtF6dJ5tlvizCXGlgteGv8iuRiS7d/eXK+xqDzymXGda+6CuTanuG/dumhmuGu1vJrQ7aezyXGmuCnyob/2gxqS3nQtFnu9Ui0Lubo/7MeS/U5waXHFJajudngMPxgce0QIr2OWsdsCpkYwEeWHV2qywNevCJ7hM2b0yqyxxnzOsxf+nb1KQWTum1oigAAAAanRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5Db3M8L21pPjxtbz4mI3hBMDs8L21vPjxtaT4mI3gzQjg7PC9taT48L21hdGg+ZaTp3AAAAABJRU5ErkJggg==" class="Wirisformula" alt="Cos space theta" width="44" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Cos«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«/math»'/> then the solution set in  <img src="data:image/png;base64,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" class="Wirisformula" alt="open parentheses 0 comma pi over 2 close parentheses" width="50" height="38" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced separators=¨|¨»«mrow»«mn»0«/mn»«mo»,«/mo»«mfrac»«mi»§#960;«/mi»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«/math»'/> is

Solution for the question - if 1+sin^(2)theta=35 in theta  cos theta then the solution setin (0,(pi)/(2)) is {(pi)/(6),sin^(-1)(1)/(3)} '/> {(pi)/(3),tan^(-1)(1)/(3)} '/>

If 1+sin^(2)theta=35 in theta  cos theta then the solut-Turito

Solution for the question - a man of mass 50 kg is pulling on a plank of mass 100 kg kept on a smoothfloor as shown with force of 100 n. if both man & plank mov