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 :
Moment of inertia of a body depends on (i) mass of body (ii) size and shape of body (iii) axis of rotation of body (iv) all the above

(i) and (ii)

(i) and (iii)

(ii) and (iii)

(iv)

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The correct Answer is:

Moment of inertia of a body a given axis depends upon all the three factors.

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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 : Kinetic energy of rotation of the flywheel in the above case is

`20 J`

`395 J`

`80 J`

same moment of inertia

unequal moments of inertia

cannot say

sometimes equal sometimes not

`40 kg m^(2)`

`5 kg m^(2)`

`10 kg m^(2)`

`20 kg m^(2)`