Rotational Motion Question 44

Question: A wheel of bicycle is rolling without slipping on a level road. The velocity of the centre of mass is vcm; then true statement is:

[AIPMT 2001]

Options:

A) the velocity of point A is 2vcm and velocity of point B is zero

B) the velocity of point A is zero and velocity of points is 2vcm

C) the velocity of point A is 2vcm velocity of point B is vcm

D) the velocities of both A and B w are vcm

Show Answer

Answer:

Correct Answer: A

Solution:

  • Key Idea: For a body rolling without slipping, the velocity of any point P on the body is vp=vcm+vp,cm

    where vp,cm=Rω in direction perpendicular to line joining centre and point P.

    Velocity of point A is, vA=vcm+Rω =vcm+vcm

    (vcm=Rω) =2vcm

    Velocity of point B is,

    Thus, the velocity of point A is 2vcm and velocity of point B is zero.



NCERT Chapter Video Solution

Dual Pane