# Solution - Physical Significance of M.I (Moment of Inertia)

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#### Question

A body of moment of inertia 5 kgm2 rotating with an angular velocity 6 rad/s has the same kinetic energy as a mass of 20 kg moving with a velocity of ......

(a) 5 m/s

(b) 4 m/s

(c) 3 m/s

(d) 2 m/s

#### Solution

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A horizontal disc is freely rotating about a transverse axis passing through its centre at the rate of 100 revolutions per minute. A 20 gram blob of wax falls on the disc and sticks to the disc at a distance of 5 cm from its axis. Moment of intertia of the disc about its axis passing through its centre of mass is 2 x 10-4 kg m2 . Calculate the new frequency of rotation of the disc.

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A thin wire of length L and uniform linear mass density r is bent into a circular coil. M. I. of the coil about tangential axis in its plane is ................................

1. (3rhoL^2)/(8pi^2)
2. (8pi^2)/(3rhoL^2)
3. (3rhoL^3)/(8pi^2)
4. (8pi^2)/(3rhoL^3)

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State the theorem of parallel axes about moment of inertia.

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