(i) Establish the relation between torque and angular acceleration. Hence define moment of inertia.
(ii) Can a body in translatory motion have angular momentum? Explain?
(iii) Extablish the relation between angular moment and moment of inertia for a rigid body. (iv) Why is it more difficult to revolve a stone by tying it to a longer string than by tying it to a shorter string?
(v) State the law of conservation of angular momentum and illustrate it with the example of planetary motion.
(vi) A cat is able to land on its feet after a fall. Why?

Explanation

(i) Yes, a body in translatory motion shall have angular momentum unless fixed point about which angular momentum is taken lies on the line of motion of body
`therefore |vecL| = rp sin theta`
=0 only when `theta = 0^(@)` or `180^(@)`
(iv) MI of stone I `=ml^(2)` (`l to` length of string)
`tau = Ialpha`
`alpha = tau/I = tau/(ml^(2))`
If l is large `alpha` is very small.
`therefore` more difficult to revolve.