Question

Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, rigid rod of length I = $\sqrt{24}$a through their centers. 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 $\omega$. The angular momentum of the entire assembly about the point 'O' is L→ (see the figure).

• A. The center of mass of the assembly rotates about the z-axis with an angular speed of $\omega$/5
• B. The magnitude of angular momentum of the center of mass of the assembly about the point O is 81 ma²$\omega$
• C. The magnitude of angular momentum of the assembly about its center of mass is 17 ma $\omega$/2
• D. The magnitude of the z-component of is 55 ma²$\omega$

Answer 1

Answer: (C), (D)

C, D

Answer 2

The final answer is $\boxed{C, D}$.