Question

A sphere rolls down in an inclinedplane without slipping . The percentage of translational energy in its total energy​

Answer 1

For solid sphere, I=

5

2

MR

2

Also, v=Rw (no slipping)

Rotational K.E, E

R

=

2

1

Iw

2

=

2

1

×

5

2

MR

2

w

2

=

5

1

Mv

2

Total K.E E=

2

1

Iw

2

+

2

1

Mv

2

=

10

7

Mv

2

E

E

R

=

7

2