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One end of spring of spring constant k i...

One end of spring of spring constant k is attached to the centre of a disc of mass m and radius R and the other end of the spring connected to a rigid wall. A string is wrapped on the disc and the end A of the string (as shown in the figure) is pulled through a distance a and then released.
The disc is placed on a horizontal rough surface and there is no slipping at any contact point. What is the amplitude of the oscillation of the centre of the disc?

A

a

B

2a

C

a/2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Displacement of the topmost point of the disc = a
Disc undergoes rolling without slipping.
Hence the displacement of the centre of the disc = a/2
Thus amplitude of the oscillation of the centre of the disc = a/2
Hence (C ) is correct
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