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JEE Advanced2008PhysicsOscillationsActual

Paragraph: A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant k which are fixed to the wall as shown in the figure. The springs are attached to the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in a horizontal plane. The unstretched length of each spring is L

Options

  1. Ak M
  2. B2 k M
  3. C2 k 3 M
  4. D4 k 3 M

Correct answer

D. 4 k 3 M

Step-by-step solution

aligned & F_ net =- ( 4 k 3 ) x & a= F_ net M =- ( 4 k 3 M ) x=- ^2 x & = 4 k 3 M aligned correct option is (d).

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