question_answer

A cylinder A rolls without slipping on a plank B. The velocities of center of the cylinder and that of the plank are 4m/s and 2m/s respectively in same direction, with respect to the ground. Find the angular velocity of the cylinder (in rad/s) if its radius is 1m.

A) 2rad/sec

B) 4rad/sec

C) 6rad/sec

D) l0rad/sec

Correct Answer: A

Solution :

[a] For rolling, \[{{v}_{A}}=2m/s\] or \[4-1.\omega =2\] or \[\omega =2rad/\sec \]  (clockwise)