
Total moment of inertia of the system,
I+I1+I2+I3
I2=I3=32mr2+mr2=35mr2
I1=32mr2
∴I=2×53mr2+32mr2
I=312mr2=4mr2
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 the diameter of the third shell. The moment of inertia of the system consisting of these three spherical shells about XX′ axis is:

Held on 30 Apr 2015 · Verified 9 Jul 2026.
511mr2
3mr2
516mr2
4mr2
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
A bullet of mass 10 g moving with 400 m/s penetrates a wall and comes to rest. The loss in kinetic energy is:
A body of mass 5 kg is moving with a velocity of 10 m/s. The kinetic energy of the body is:
The Sun rotates around its centre once in 27 days. What will be the period of revolution if the Sun were to expand to twice its present radius without any external influence? Assume the Sun to be a sphere of uniform density.
A sphere of radius $R$ is cut from a larger solid sphere of radius $2 R$ as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is: 
A ball of mass 0.5 kg is dropped from a height of 40 m . The ball hits the ground and rises to a height of 10 m . The impulse imparted to the ball during its collision with the ground is (Take $\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2$ )
Work through every NEET UG Mechanics PYQ, year by year.