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Two disks A and B are free to rotate ab...

Two disks `A` and `B` are free to rotate about their respective vertical smooth axis passing through their centre as shown. `(R_(A) = 2R_(B), I_(A) = 16 I_(B))`. Disc is rotating about its axis with an angular velocity of `5 rad//sec`. The two disks are moved near to each other till they are in contac. What will be the angular velocity of the smaller disk when slipping between two stops ?

A

`8 rad//s`

B

`4 rad//s`

C

`12 rad//s`

D

`5 rad//s`

Text Solution

Verified by Experts

The correct Answer is:
A
Two disks ………
If impulse of friction till slipping is `I` then
`-IR_(A) = I_(A)omega_(A) = I_(A)xx5`
`+IR_(B) = I_(B)omega_(B) - 0`
For no slipping `omega_(A)R_(A) = omega_(B)R_(B)`
Solving this we get `omega_(B) = 8rad//s`
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