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Most Important Selected Qs for JEE AdvancedPhysicsRotational Motion

A particle of mass ' m ' is attached to the rim of a uniform disc of mass ' m ' and radius R . The disc is rolling without slipping on a stationary horizontal surface, as shown in the figure. At a particular instant, the particle is at the top most position and centre of the disc has speed v₀ and its angular speed is . Choose the correct regarding the motion of the system (disc + particle) at that instant.

Options

  1. AV₀= R
  2. Bkinetic energy of the system is 11 4 mv ₀^2
  3. Cspeed of point mass m is less than 2 v₀
  4. D| v _C- v _B |= | v _B- v _D |

Correct answer

A. V₀= R

Step-by-step solution

aligned & K = K _ D + K _ P & = 1 2 mv ₀^2 (1+ 1 2 )+ 1 2 ~m (2 ~V ₀ )^2 & = 11 4 mV ₀^2 aligned

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