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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:
D
(i) If both moves togethere `a=2(m)/(s^2)`
Force required for A `=4N`
Max. Friction force `=10N`
Hence there will be no slipping and friction force will be 4 N.
(ii) Max friction force `=mumgcostheta=8N`
Force slong incline `=mgsintheta=12N`
Hence block will move and friction force will be 8 N.
(iii) Max. friction force `=muN=5N`
Downward force `=20N`
Block will slip and friction force will be 5 N.
(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 togethere and friction force will be `(20)/(6)N`
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