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Moment of inertia of a body about a give...

Moment of inertia of a body about a given axis is the rotational inertia of the body about that axis. It is respresented by `I = MK^(2)`, where `M` is mass of body and `K` is radius of gyration of the body about that axis. It is a scalar quantity, which is measured in `kg m^(2)`. when a body rotates about a given axis, and teh axis of rotates also moves, then total `K.E.` of body `= K.E.` of translation `+ K.E.` of rotation
`E = (1)/(2)mv^(2) + (1)/(2)I omega^(2)`
Which the help of the compreshension given above, choose the most apporpriate altermative for each of the following questions :
A circular disc and a circular ring of same mass and same diameter have, about a given axis,

A

same moment of inertia

B

unequal moments of inertia

C

cannot say

D

sometimes equal sometimes not

Text Solution

Verified by Experts

The correct Answer is:
B
`I_("disc") = (1)/(2)MR^(2), I_("ring") = MR^(2)`
The two are unequal.
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