Rotational Motion Question 201

Question: 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.

Options:

A) 2rad/sec

B) 4rad/sec

C) 6rad/sec

D) rad/sec

Show Answer

Answer:

Correct Answer: A

Solution:

[a] For rolling, $v _{A}=2m/s$

or $4-1.\omega =2$

or $\omega =2rad/\sec $(clockwise)



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