Question

The moment of inertia of two rotating bodies A and B are la and Ib(Ib > Ia) and their angular
momenta are equal. Which one has a greater kinetic energy?​

Answer 1

Answer:

Solution

( c) IAωA=IBωB (Given)

:. ωAωA=IBIA …(i)

Kinetic energy =12Iω2

:. (K.E.)A(K.E.)B=12IAω2A12IBω2B

=IAIB×(IBIA)2 (Given (i))

=IBIA

As IA>IB (Given)

:. (K.E.)A<(K.E.