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 = 24 a through their center. This assembly is laid on a firm an

Question

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 $l = \sqrt{24} a$ 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 $\vec{L}$ (see the figure). Which of the following statement(s) is(are) true?

Question diagram: Two thin circular discs of mass m and 4m, having radii of a

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Answer:

A, D

Solution:

Magnitude of angular momentum of the assembly about its centre of mass =
$\frac{m a^{2}}{2} ω + \frac{4 m {(2 a)}^{2}}{2} ω = \frac{17 m a^{2}}{2} ω$

TestHub · Accepted Answer

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

Physics - Rotation Question with Solution | TestHub

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