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Most Important Selected Qs for JEE AdvancedPhysicsRotational Motion

A folded plate OABCDEFO made of materials such that part OABO (say part(i)), BCDOB (say part(ii)) and DEFOD (say part(iii)) has mass 4 ~m , ~m and m respectively. Part (i) is a uniform semicircular plate of radius R / 2 and is on the xy plane. Part (ii) and (iii) each is a uniform quarter circular plate of radius R on x y and x z plane respectively. The whole system is free to rotate about y-axis. A particle P of mas

Options

  1. Av₀ 4 R
  2. B2 v₀ 5 R
  3. C3 v₀ 5 R
  4. Dv₀ 2 R

Correct answer

A. v₀ 4 R

Step-by-step solution

Moment of inertia of combined system about y-axis = 4 m ( R 2 )^2 4 + m R^2 4 + m R^2 2 +m R^2=2 m R^2 Conservation of angular momentum along y -axis aligned & m v₀ R 2 =2 m R^2 & = v₀ 4 R aligned

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