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Two disc with same mass but different radii are moving with same K.E. One of them rolls and other slides without friction. Then

  • Option 1)

    Rolling disc has greater velocity

  • Option 2)

    Sliding disc has greater velocity

  • Option 3)

    Both have same velocity

  • Option 4)

    The disc with greater radius will have greater velocity

 

Answers (1)

As we learnt in 

Rolling of a body on an inclined plane -

a= \frac{g\sin \Theta }{1+\frac{K^{2}}{R^{2}}}

f= \frac{mg\sin \Theta }{1+\frac{R^{2}}{K^{2}}}

- wherein

K=Radius of gyration

\Theta = Angle of inclination

 

 

Sliding disc has greater velocity.


Option 1)

Rolling disc has greater velocity

Incorrect

Option 2)

Sliding disc has greater velocity

correct

Option 3)

Both have same velocity

Incorrect

Option 4)

The disc with greater radius will have greater velocity

Incorrect

Posted by

Vakul

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