Ashok Sharma Solutions for Chapter: Motion of System of Particles and Rigid Body, Exercise 1: SELF EVALUATION TEST

Can centre of mass of a body coincide with the geometrical centre of the body?

If the polar ice-caps of earth melt, shall the length of the day increases or decreases?

Two satellites of equal masses are revolving around at different heights. Will their moment of inertia about centre of the earth be same or different?

How will you distinguish between a hard-boiled egg and a raw egg by spinning each on a tabletop?

Prove that:

(a) $\tau =I\alpha$ and (b) $L=I\omega$

State and explain the principle of conservation of angular momentum. Give at least two examples?

What is the centre of mass? Obtain an expression for the centre of mass of a system of particles?

A heavy small mass is attached to one end of string whose other end is fixed on a cylinder which can rotate about an axis. Show that the point mass continuously, speeds up as the string uncoils.