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A meter scale is moving with uniform velocity. This impliesAThe force acting on the scale is zero, but a torque about the centre of mass can act on the scale.BThe force acting on the scale is zero and the net torque acting about the centre of mass of the scale is also zero.CThe total force acting on it need not be zero but the torque on it is zero.DNeither force nor the torque needs to be zero.

Question

A meter scale is moving with uniform velocity. This impliesAThe force acting on the scale is zero, but a torque about the centre of mass can act on the scale.BThe force acting on the scale is zero and the net torque acting about the centre of mass of the scale is also zero.CThe total force acting on it need not be zero but the torque on it is zero.DNeither force nor the torque needs to be zero.

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Solution

The correct answer is B. The force acting on the scale is zero and the net torque acting about the centre of mass of the scale is also zero.

Here's why:

  1. Newton's first law of motion states that an object will remain at rest or move in a straight line at a constant speed unless acted upon by an external force. So, if the meter scale is moving with a uniform velocity, it means there is no net external force acting on it. Hence, the force acting on the scale is zero.

  2. Torque is a measure of how much a force acting on an object causes that object to rotate. The object will continue to rotate at a constant angular velocity unless a net torque is acting on it. Since the meter scale is not accelerating or decelerating, but moving at a uniform velocity, it implies that there is no net torque acting on it. Hence, the net torque acting about the centre of mass of the scale is also zero.

This problem has been solved

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