Question

You have a solid metal cylinder of mass M, with a radius of R.  What is its moment of inertia?

		(1/2)MR2
		MR2
		(2/3)MR2
		(2/5)MR2

You have a 5 kg solid metal cylinder with a radius of 2.5 cm.  What is its moment of inertia?

		0.00313 kg m2
		0.00125 kg m2
		0.00208 kg m2
		0.00156 kg m2

You have a solid metal sphere of mass M, with a radius of R.  What is its moment of inertia?

		(2/3)MR2
		(2/5)MR2
		(1/2)MR2
		MR2

You have a 5 kg solid metal sphere with a radius of 2.5 cm.  What is its moment of inertia?

		0.00208 kg m2
		0.00313 kg m2
		0.00125 kg m2
		0.00156 kg m2

Answer 1

1) Option 1 is correct i.e. I = (1/2)MR2 (defined in general)

2)

R= 2.5 cm = 2.5 x 10-2 m

We know that,

Moment of inertia of a metal cylinder is

I = (1/2)MR2 = (1/2) x 5 x (2.5 x 10-2) = 0.00156 kg m2

Option 4 will be correct.

3)

Option 2 is correct i.e. I = (2/5)MR2 (defined in general)

4)

We know that,

Moment of inertia of the metal sphere is

I = (2/5)MR2 = (2/5) x 5 x (2.5 x 10-2) = 0.00125 kg.m2

Option 3 is correct.

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