Three identical spherical shells, each of mass m and radius r are placed as shown in the figure. Consider an axis XX ′ which is touching the two shells and passing through diameter of the third shell. Moment of inertia of the system consisting of these three spherical shells about X X ′ axis is:

Question

Three identical spherical shells, each of mass m and radius r are placed as shown in the figure. Consider an axis XX ′ which is touching the two shells and passing through diameter of the third shell. Moment of inertia of the system consisting of these three spherical shells about X X ′ axis is:, 11 5 m r 2, 3 m r 2, 16 5 m r 2, 4 m r 2

MARKS App · Accepted Answer

Total MI of the system, I = I 1 + I 2 + I 3 I 2 = I 3 = 2 3 m r 2 + m r 2 = 5 m r 2 3 I 1 = 2 3 m r 2 ∴ I = 2 × 5 m r 2 3 + 2 3 m r 2 = 12 m r 2 3 = 4 m r 2

Search any question & find its solution

Looking for more such questions to practice?