Read each statement below carefully, and state, with reasons, if it is true or false;(a) During rolling, the force of friction acts in the same direction as the direction of motion of the CM of the body.(b) The instantaneous speed of the point of contact during rolling is zero.(c) The instantaneous acceleration of the point of contact during rolling is zero.(d) For perfect rolling motion, work done against friction is zero.(e) A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling) motion.

Question
Asked Jan 26, 2020
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Read each statement below carefully, and state, with reasons, if it is true or false;
(a) During rolling, the force of friction acts in the same direction as the direction of motion of the CM of the body.
(b) The instantaneous speed of the point of contact during rolling is zero.
(c) The instantaneous acceleration of the point of contact during rolling is zero.
(d) For perfect rolling motion, work done against friction is zero.
(e) A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling) motion.

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Expert Answer

Step 1

(a) Direction of frictional force is opposite to the direction of motion of the centre of mass. When an object rolls, motion of the centre of mass is directed backwards. Therefore, frictional force is directed along the forward direction. The statement is FALSE.

Step 2

(b) Rolling corresponds to rotation of an object about the axis through its point of contact with the ground. Therefore, the instantaneous speed is zero. The statement is TRUE.

Step 3

(c) When an object is rolling, it has non-zero instan...

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Kinematics

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