A perfectly rigid cylinder of radius r rolls without sliding on a rough and rigi

Question

A perfectly rigid cylinder of radius r rolls without sliding on a rough and rigid horizontal surface. At a certain instant, the angular velocity of the cylinder is o P, Q and R are points marked on the cylinder as shown. Which of the following is/are true? (1) Q moves at a speed u = ro relative to the ground. (2) If there is no air resistance, the velocity of the cylinder will not change. (3) The speed of P is one-half that of R relative to the ground. 10. 4/12 (A) (, (2) and (3) (B) () and (2) only (C) 2) and (3) only (D) () only cyinder rolin angular speed rrough plane horlzonta 4

Explanation / Answer

If there is rolling ,velocity of bottom part is zero .Velocity of center of mass=rw

Velocity of point P=0

Velocity of point Q=rw

Velocity of point R=2rw

So (1) and (2) are correct

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