Question

Two circles rings have their masses in the
ratio 1:2 and their diameter in the ratio 2:1
The ratio of their moment of inertia about
their axel is
a)
b) It is 4:1
c)
It is 1:2
d) it is 2:1​

Answer 1

Answer:

Moment of inertia of the ring is given by

I=mr

2

Where m is the mass of the ring and r is the radius of the ring in terms of diameter

I=

4

md

2

For first ring

I

1

=

4

m

1

d

1

2

I

2

=

4

m

2

d

2

2

I

2

I

1

=

1

2

d

2

d

1

=

1

2

I

2

I

1

=

4

m

2

d

2

2

4

m

1

d

2

1

=

m

2

m

1

(

d

2

d

1

)

2

2=

m

2

m

1

(2)

2

m

2

m

1

=1:2

Hence, Option B is the correct answer

Explanation:

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