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A circular disc with a groove along its ...

A circular disc with a groove along its diameter is placed horizontally on a rough surface. A block of mass 1 kg is placed as shown. The co-efficient of friction between the block and all surfaces of groove and horizontal surface in contact is `mu=2/5`. The disc has an acceleration of `25m//s^2` towards left. Find the acceleration of the block with respect to disc. Given `cos theta=4/5`, `sin theta=3/5`.

A

`10m//s^(2)`

B

`5m//s^(2)`

C

`20m//s^(2)`

D

`1m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`N_(1)=mg`
`N_(2)=ma sin 37^(@)`

`a_(bd)=(macos37^(@)-muN_(2)-muN_(1))/(m)`
`=10m//s^(2)`
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