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JEE Advanced · Physics · 8. Rotational Motion

Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, right rod of length l=24a through their center. This assembly is laid on a firm and flat surface, and set rolling without slipping on the surface so that the angular speed about the axis of the rod is ω . The angular momentum of the entire assembly about the point 'O' is L (see the figure). Which of the following statement(s) is(are) true?

  1. A The magnitude of angular momentum of the assembly about its center of mass is 17 ma2ω2
  2. B The magnitude of the z - component of L is 55 ma2ω
  3. C The magnitude of angular momentum of center of mass of the assembly about the point O is 81 ma2ω2
  4. D The center of mass of the assembly rotates about the z-axis with an angular speed of ω5
Verified Solution

Answer & Solution

Correct Answer

(D) The center of mass of the assembly rotates about the z-axis with an angular speed of ω5

Step-by-step Solution

Detailed explanation

Magnitude of angular momentum of the assembly about its centre of mass =
ma22ω+4m 2a22ω=17ma22ω
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