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Question: Two identical blocks are kept on rough inclined plane (m = 0.5). The blocks are connected with light...

Two identical blocks are kept on rough inclined plane (m = 0.5). The blocks are connected with light string. If mg < F < 2mg, then –

A

Friction force on block ‘A’ is in upward direction

B

Friction force on block B may be either in upward direction or downward direction

C

Friction on block ‘A’ depends upon force ‘F’

D

Friction force on block ‘B’ may be zero

Answer

Friction force on block B may be either in upward direction or downward direction

Explanation

Solution

Figure shows forces acting along the string

\ f + 3mg5\frac { 3 \mathrm { mg } } { 5 } = F – mg

̃ f = F – 8mg5\frac { 8 \mathrm { mg } } { 5 }

\ If F < 8mg5\frac { 8 \mathrm { mg } } { 5 } ̃ f : – ve ̃ Friction force on block ‘B’ is in upward direction.

F > 8mg5\frac { 8 \mathrm { mg } } { 5 } ̃ f : + ve ̃ friction force on block ‘B’ is in downward direction.