A)
the velocity of point A is \[2{{v}_{cm}}\]and velocity of point B is zero
B) the velocity of point A is zero and velocity of points is \[2{{v}_{cm}}\]
C) the velocity of point A is \[2{{v}_{cm}}\] and velocity of point B is \[-{{v}_{cm}}\]
D) the velocities of both A and B are \[{{v}_{cm}}\]
Correct Answer: A
Solution :
Key Idea: For a body rolling without slipping, the velocity of any point P on the body is \[{{\vec{v}}_{p}}={{\vec{v}}_{cm}}+{{\vec{v}}_{p,\,cm}}\]where \[{{\vec{v}}_{p,\,cm}}=R\omega \] in direction perpendicular to line joining centre and point P. Velocity of point A is, \[{{v}_{A}}={{v}_{cm}}+R\omega \] \[={{v}_{cm}}+{{v}_{cm}}(\because \,{{v}_{cm}}=R\omega )\] \[=2{{v}_{cm}}\] Velocity of point B is, Thus, the velocity of point A is 2 \[{{v}_{cm}}\] and velocity of point B is zero.
You need to login to perform this action.
You will be redirected in
3 sec
