Question

a uniform circular disk of mass M and radius R is rotating with an angular velocity w on a smooth horizontal surface. another identical disk is placed gently over it covering the whole disk. after sometime both disks have common angular velocity. Value of the velocity is?????
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Answer 1

Answer:

=

2

MR

2

and

I

2

=

2

MR

2

+

2

M

(

4

R

2

)

=

8

5

MR

2

By Conservation Of Angular Momentum

I

1

ω

1

=I

2

ω

2

2

MR

2

ω=

8

5

MR

2

ω

2

ω

2

=

5

4

ω.