Question
A block of weight W is suspended by a string of fixed length. The ends of the string are held at various positions as shown in the figures below. In which case, if any, is the magnitude of the tension along the string largest?
The correct answer is: ![](data:image/png;base64,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)
Related Questions to study
If
then the general solution of x=
If
then the general solution of x=
An ideal string is passing over a smooth pulley as shown. Two blocks and are connected at the ends of the string. If = 1 kg and tension in the string is 10 N, mass m2 is equal to ![open parentheses straight g equals 10 straight m divided by straight s squared close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
An ideal string is passing over a smooth pulley as shown. Two blocks and are connected at the ends of the string. If = 1 kg and tension in the string is 10 N, mass m2 is equal to ![open parentheses straight g equals 10 straight m divided by straight s squared close parentheses](data:image/png;base64,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)
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)
; then the general solution of A=
; then the general solution of A=
Three forces , and act on an object simultaneously. These force vectors are shown in the following free-body diagram. In which direction does the object accelerate?
Three forces , and act on an object simultaneously. These force vectors are shown in the following free-body diagram. In which direction does the object accelerate?
The general solution of
is
The general solution of
is
If
then x = - ....
Sin2x + Cos2x = 1
If
then x = - ....
Sin2x + Cos2x = 1
The general solution of
i
tan ( A - B) = tan A - tan B / 1 + tan A. tan B
The general solution of
i
tan ( A - B) = tan A - tan B / 1 + tan A. tan B
If
then ![Error converting from MathML to accessible text.](data:image/png;base64,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)
If
then ![Error converting from MathML to accessible text.](data:image/png;base64,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)
The most general value of
satisfying the equations
is
The most general value of
satisfying the equations
is
The smallest value of
satisfying the equation
IS
The smallest value of
satisfying the equation
IS
If
and
is acute then ![theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=)
If
and
is acute then ![theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=)
If
then x=
If
then x=
The adjoining figure shows a force of 40 N pulling a body of mass 5 kg in a direction above the horizontal. The body is in rest on a smooth horizontal surface. Assuming acceleration of free-fall is 10 . Which of the following statements I and II is/are correct?
I) The weight of the 5 kg mass acts vertically downwards
II) The net vertical force acting on the body is 30 N.
The adjoining figure shows a force of 40 N pulling a body of mass 5 kg in a direction above the horizontal. The body is in rest on a smooth horizontal surface. Assuming acceleration of free-fall is 10 . Which of the following statements I and II is/are correct?
I) The weight of the 5 kg mass acts vertically downwards
II) The net vertical force acting on the body is 30 N.
A sphere of mass m is kept in equilibrium with the help of several springs as shown in the figure. Measurement shows that one of the springs applies a force on the sphere. With what acceleration the sphere will move immediately after this particular spring is cut?
A sphere of mass m is kept in equilibrium with the help of several springs as shown in the figure. Measurement shows that one of the springs applies a force on the sphere. With what acceleration the sphere will move immediately after this particular spring is cut?
If you want to pile up sand onto a circular area of radius R. The greatest height of the sand pile that can be erected without spilling the sand onto the surrounding area, if is the coefficient of friction between sand particle is
If you want to pile up sand onto a circular area of radius R. The greatest height of the sand pile that can be erected without spilling the sand onto the surrounding area, if is the coefficient of friction between sand particle is