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Consider the situation shown in figure i...

Consider the situation shown in figure in which a book `'A'` of mass `2 kg` is placed over a block `'B'` of mass `4 kg`. The combination of the placed on a inclined plane of inclination `37 ^(@)` with horizontal. The coefficient of friction between blocks `B` and inclined plane is `mu_(2)` and in between the two bolcks is `mu_(1)`, The system is released from rest.
( Take `g=10m//sec^(2))`

If `mu_(1)=0.8, mu_(2)=0.8` then:

A

Both block will move together

B

Only block `A` will move and blocks `B` remains at rest

C

Only block `B` will move and block `A` remains at rest

D

None of the blocks will move

Text Solution

Verified by Experts

The correct Answer is:
D
`tan 37^(@)-0.75`, Here
`mu_(1)=mu_(2)=0.80 gt tan 37^(@)` i.e., `mu gt tan theta`
`rArr` Surffcient friction is there at each surface
`therefore` No blocks can move.
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Knowledge Check

  • Consider the situation shown in figure in which a book 'A' of mass 2 kg is placed over a block 'B' of mass 4 kg . The combination of the placed on a inclined plane of inclination 37 ^(@) with horizontal. The coefficient of friction between blocks B and inclined plane is mu_(2) and in between the two bolcks is mu_(1) , The system is released from rest. ( Take g=10m//sec^(2)) If mu_(1)=0.5, mu_(2)=0.5 , then:

    A
    Both blocks will move but with different accelerations
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    Both blocks will move together
    C
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    both blocks will move together
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    A
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