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JEE Main20241 Feb 2024Evening ShiftPhysicsRotational MotionActual

A disc of radius R and mass M is rolling horizontally without slipping with speed v . It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is:

Options

  1. Av 2 g
  2. B3 4 v 2 g
  3. C1 2 v 2 g
  4. D2 3 v 2 g

Correct answer

C. 1 2 v 2 g

Step-by-step solution

Only the translational kinetic energy of disc changes into gravitational potential energy and rotational KE remains unchanged as there is no friction. 1 2 m v 2 = m g h ⇒ h = v 2 2 g

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