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

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#### Question

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 wheel of moment of inertia 1 Kgm 2 is rotating at a speed of 40 rad/s. Due to friction on the axis, the wheel comes to rest in l 0 minutes. Calculate the angular momentum of the wheel, two minutes before it comes to rest.

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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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A body starts rotating from rest. Due to a couple of 20 Nm it completes 60 revolutions in one minute. Find the moment of inertia of the body.

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The moment of inertia of a thin uniform rod of mass M and length L, about an ·axis passing through a point,midway between the centre and one end, perpendicular to its length is .

(a)48/7ML^2

(b)7/48ML^2

(c)1/48ML^2

(d)1/16ML^2

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