A uniform disc of mass 2 kg is rotated about an axis perpendicular to the plane of the disc. If radius of gyration is 50 cm, then the M.I. of disc about same axis is

  • Option 1)

    0.25 kg m^{2}

  • Option 2)

    0.5 kg m^{2}

  • Option 3)

    2 kg m^{2}

  • Option 4)

    1 kg m^{2}

 

Answers (1)

As we discussed in

Radius of gyration (K) -

Radius of Gyration of a body about an axis is the effective distance from the axis where the whole mass can be assumed to be concentrated so that moment of inertia remains the same.

- wherein

I= MK^{2}

K= \sqrt{\frac{I}{M}}

 

 use I=MK2


Option 1)

0.25 kg m^{2}

This solution is incorrect 

Option 2)

0.5 kg m^{2}

This solution is correct 

Option 3)

2 kg m^{2}

This solution is incorrect 

Option 4)

1 kg m^{2}

This solution is incorrect 

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