1.

In the above question disc B is brought in contact with disc A, they acquire a common angular velocity in time t. The average frictional torque on one disc by the other during this period is :

Answer»

`(2Iomega)/(3t)`
`(9Iomega)/(2t)`
`(9Iomega)/(4T)`
`(3Iomega)/(2t)`

Solution :LET `omega`. be the angular VELOCITY when the two discs GET combined. Then by conservation of angular momentum,
`(I+2I)omega.=Ixx2omega+2Iomega`
or `omega.=(4omega)/(3)""...(i)`
Now `omega.=omega+at=omega+(tau)/(2I)xxt` (where `tau` is the average FRICTIONAL torque)
or `(4omega)/(3)-omega=(tau)/(2I).t`
`tau=(2Iomega)/(3t)`


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