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A drum and its braking system are shown ...

A drum and its braking system are shown in figure. The drum of radius `1.5m` has a moment of inetia of `80kg.m^(2)` about its fixed axis of rotation and the spring has spring constant `(k)` of `50N//m`. The coefficient of friction `mu` between bars and drum is `0.4`. When the brake is in action, the spring has a `2m` elongation. The drum rotates at `200` rpm. Time required for it to stop is:

A

2.84 sec

B

3.76 sec

C

5 sec

D

4.65 sec

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