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A mettalic shell of mass M and radius R filled with water of mass M is set into pure rolling motion on a smooth horizontal surface as shown in the above figure. Now water is freezed suddenly and the ice sticks with the shell. What is the moment of inertia of shell plus ice system about point of contact?

A mettalic shell of mass M and radius R filled with water of mass M is set into pure rolling motion on a smooth horizontal surface as shown in the above figure. Now water is freezed suddenly and the ice sticks with the shell. What is the moment of inertia of shell plus ice system about point of contact?

Grade:11

1 Answers

Aman
29 Points
6 years ago
Moment of inertia would be the sum of two moment of inertia that of
I of hollow sphere+I of sphere formed by freezed ice
2/3mr^2+2/5Mr^2 where m is mass of hollow sphere and M is the mass of water in sphere here both m and M are same so
I = 16/15Mr^2. This mi is about center then about point of contact is I+2Mr^2. 2M mass of both water and sphere and parallel axes theorem is used. So final answer is 46/15Mr^2 

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