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NEET2017PhysicsOscillationsActual

A solid cylinder is attached to a horizontal massless spring as shown in figure. If the cylinder rolls without slipping, the time period of oscillation of the cylinder is

Options

  1. A2 x g
  2. B2 2 M 3 K
  3. C2 3 M 8 K
  4. D2 3 M 2 K

Correct answer

C. 2 3 M 8 K

Step-by-step solution

Let x be the extension in the spring, Then, x=2 R Torque acting on the cylinder about point of contact, T=F 2 R=-K x(2 R)=-4 R^2 K T=2 I K e =2 3 2 M R^2 4 R^2 K =2 3 M 8 K

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