Physics-
General
Easy
Question
A light rod carries three equal masses A, B and C as shown in the figure the velocity of B in vertical position of rod if it is released from horizontal position as shown in the figure is .....
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)
The correct answer is: ![square root of fraction numerator 8 text end text g l over denominator 3 end fraction end root](data:image/png;base64,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)
Related Questions to study
physics
, Then
is perprndicular to
, Then
is perprndicular to
physicsGeneral
physics
Linear momentum of a particle is
Find its magnitude
Linear momentum of a particle is
Find its magnitude
physicsGeneral
physics
and
Find ![Error converting from MathML to accessible text.](data:image/png;base64,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)
and
Find ![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAAWCAYAAACYPi8fAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAVrfl2dQAAAbZJREFUeNpjYCAe/CcD0wsMZreNglEwCkbBKBgFo4BGwBGItwHxNyD+AcS3gHgCEAsT0FdJB7dZA/EaIP4ExL+A+AIQRxPRmHkMxDeAeB0QS+NSvB+Ig4CYDUnMAIh34LHAAGqBBo09fhCII4GYB8rXAuKjUDFcHkcGIHUnSbX0Ex65xUA8F4rpDeSB+BKRHmeCphSigRI0qWADskhy16B8eoMfRHoc5LZzxBgoDsSJ0HzuhUNNDxBnQdkguovOnraEJnd8HgfFtBs0qxiT0sMpwKEOlNfuIpUHLEB8HykP0hpwQPOsNRH+eAnEOsQaLAjEAVDD7XGU5LVoYiB+ORW6jsS4bQM0JhkIxDgoYlyAeAsQ65ESsjxYSkMWaGwLYnHQLWjyohVQgnpahYgARgYa0FqLogIkg0CMJdPI0yDHzwZiLiIHJYgtCLECPWgsIoMr0JDHVcVcoYGnQYXtKmhqYyDD46BU+AVfIyEUajgTtCUHKrDikdR4QVtQ+MByPDUBuWALiY2k/2iRUQ3EC3EptoVa8AOKQXnCB0vgmBKwFFRtHKayx0ktDJHlf0AbWoKjvRIoAAB7p4wWM536BAAAARh0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+MzwvbW4+PG1vdmVyIGFjY2VudD0idHJ1ZSI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPkE8L21pPjxtbyBhY2NlbnQ9ImZhbHNlIj4mI3hBRjs8L21vPjwvbW92ZXI+PG1vPiYjeDIyMTI7PC9tbz48bW4+MjwvbW4+PG1vdmVyIGFjY2VudD0idHJ1ZSI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPkI8L21pPjxtbyBhY2NlbnQ9ImZhbHNlIj4mI3hBRjs8L21vPjwvbW92ZXI+PC9tYXRoPpqXK0AAAAAASUVORK5CYII=)
physicsGeneral
physics
What is the angle between
and the resultant of
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
What is the angle between
and the resultant of
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
and
Find ![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD0AAAAZCAYAAACCXybJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAVrfl2dQAAAYBJREFUeNpjYBh64D8ZeBSQA+YDMc9I8/RsIL4FxObD0XNZBPLJHyBWG0kxfReITUfz9BAFw71o/z/qaSI9XUkHh1kD8Rog/gTEv4D4AhBHE9FQeQzEN4B4HRBLU8vTBlB5DRp7+iAQRyKVGVpAfBQqRoybQepOUsvTi4F4LhTTu7yQB+JLRJrLBE0hFHtaFpp0QOAalE/vQvIHkeaC3HaOGp7ugTZUYA2WLjp72hKaxPGZC4phN2j2MKbU0zzQhggblM8CxPfJqKfJ9TQHNI9aE9HjegnEOtQovUEldi2aGIhfToXuHyEgCMQboDFIyCOgSHEB4i1ArEeJp1mgsSyIxTG3oEmKVjGtBPWwConmgmqX/ZR4OoNATCXTyNMa0PY9F5nm/qDE01egIY6rGrlCA0+LA/EqaCojx1xQ6vtCrqe9oC0jfGA5VB01Pb2FxAbQf7SIqAbiheR6+iARXUdQ1XCYBu1jUgo+ZPkf0EaU4GiHY9TTo57GW9QPFwD3HwAHCp8DfaUYiwAAAQ50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+fDwvbW8+PG1vdmVyIGFjY2VudD0idHJ1ZSI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPkE8L21pPjxtbz4mI3gyMTkyOzwvbW8+PC9tb3Zlcj48bW8+KzwvbW8+PG1uPjI8L21uPjxtb3ZlciBhY2NlbnQ9InRydWUiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5CPC9taT48bW8gYWNjZW50PSJmYWxzZSI+JiN4QUY7PC9tbz48L21vdmVyPjxtbz58PC9tbz48L21hdGg+31JHMgAAAABJRU5ErkJggg==)
and
Find ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
Out of the following pairs of forces, the resultant of which can not be 18 N
Out of the following pairs of forces, the resultant of which can not be 18 N
physicsGeneral
physics
is perpendicular to
and
=
What is the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
is perpendicular to
and
=
What is the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
If
is multiplied by 3, then the component of the new vector along z directions is
If
is multiplied by 3, then the component of the new vector along z directions is
physicsGeneral
maths-
1)
is divisible by
for all ![n element of N](data:image/png;base64,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)
2)
is divisible by
for all ![n element of N](data:image/png;base64,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)
3)
is divisible by
![n element of N](data:image/png;base64,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)
4)
is divisible by
for all
then the increasing order of
is
1)
is divisible by
for all ![n element of N](data:image/png;base64,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)
2)
is divisible by
for all ![n element of N](data:image/png;base64,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)
3)
is divisible by
![n element of N](data:image/png;base64,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)
4)
is divisible by
for all
then the increasing order of
is
maths-General
physics
Magnitudes of
and
are 41,40 and 9 respectively,
Find the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
Magnitudes of
and
are 41,40 and 9 respectively,
Find the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
The sum of
and
is at right angles to their difference then
The sum of
and
is at right angles to their difference then
physicsGeneral
physics
The resultant of two forces of magnitude 2N and 3N can never be
The resultant of two forces of magnitude 2N and 3N can never be
physicsGeneral
physics
The resultant of two vetoers
and ![B with not stretchy bar on top](data:image/png;base64,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)
The resultant of two vetoers
and ![B with not stretchy bar on top](data:image/png;base64,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)
physicsGeneral
Maths-
Let
is an even integer. If
is assumed true
is true. Therefore
is true :
Let
is an even integer. If
is assumed true
is true. Therefore
is true :
Maths-General
maths-
If
is a statement
such that if
is true,
is true for
, then
is true.
If
is a statement
such that if
is true,
is true for
, then
is true.
maths-General