Question

a uniform dis rollswithout sliding on a horizontal surface Find the ratio of total kinetic energy of upper half part to the total kinetic energy of the disc​

Answer 1

Given:

A uniform disc sliding horizontal surface.

To find:

Ratio of kinetic energy of upper half and total kinetic energy.

Solution:

The moment of inertia

I=mR²/2

K.E of rotational=mR²w²/4

K.E of translational =mR²w²/2

The total kinetic energy= K.E of rotational + K.E of translational

=3mR²w²/4

The ratio =(mR²w²/4) / (3mR²w²/4)

=1/3

So the ratio of upper half and total kinetic energy of disc is 1/3