Rotational Motion Question 222
Question: The free end of a thread wound on a bobbin is passed round a nail A hammered into the wall. The thread is pulled at a constant velocity. Assuming pure rolling of bobbin, find the velocity of the centre of the bobbin at the instant when the thread forms an angle a with the vertical.
Options:
A)
B)
C)
D)
Show Answer
Answer:
Correct Answer: A
Solution:
[a] When the thread is pulled, the bobbin rolls to the right.
Resultant velocity of point B along the thread is
where
As the bobbin rolls without slipping,
Solving the obtained equations, we get