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Passage VIII A disc of mass m and radius...

Passage VIII A disc of mass m and radius R is attached with a spring of force contant k at its center as shown in figure. At x-0, spring is unstretched. The disc is moved to x=A and then released. There is no slipping between disc and ground. Let f be the force of friction on the disc from the ground.

f versus t (time) graph will be as

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C

`kx -f = ma, fR = ((mR^(2))/(2)) alpha = f = 1/3 kx`
But `x = A cos omegat`
(`:.` the cylinder is starting from `x = A`)
So `f = (kA)/(3) cos omegat`
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