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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 :
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

A

(i) and (ii)

B

(i) and (iii)

C

(ii) and (iii)

D

(iv)

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Verified by Experts

The correct Answer is:
D
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

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,

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 40 kg flywheel in the from of a unifrom circular disc of diameter 1 m is making 120 rpm . Its moment of inertia about a transverse axis through its centre is

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PRADEEP-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-Multiple Choice Questions Comprehension 2
  1. Moment of inertia of a body about a given axis is the rotational inert...

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