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In which of the following cases the fric...

In which of the following cases the friction force between `'A'` and `'B'` is maximum. In all cases `mu_(1)=0.5, mu_(2)=0`.

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B
`(d) (i)` If both moves together `a=2m//s^(2)`
Force required for `A=4N`
Max. Frictionless =`10N`
Hence there will be no slipping and friction force will be `4N`.
`(ii0` Max. Friction force `=mu mg cos theta =8N`
Force along incline `=mg sin theta =12N`
Hence block will move and friction force will be `8N`.
`(iii)` Max. friction force `=mu N =5N`
Downward force `=20N`
Block will slip and friction force will be `5N`
`(iv)` Acceleration of the system `=(10)/(6)m//s^(2)`
Force required for `A=(20)/(6)N`
Max. friction force `=10N`
Hence `A` and `B` will move together and friction force will be `(20)/(6)N`.
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