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Q.

In the given figure the coefficient of friction between 4kg and 5 kg blocks is 0.2 and between 5 kg block and ground is 0.1 respectively. Choose the correct statements : -

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a

Minimum force needed to cause system to move is 17 N

b

When force is 4N static friction at all surfaces is 4N to keep system at rest

c

Maximum acceleration of 4kg block is 2m/s2

d

Slipping between 4kg and 5 kg blocks start when F is > 17N

answer is C.

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Detailed Solution

So block ‘Q’ is moving due to force while block ‘P’ due to friction. Friction direction on both +Q blocks as shown.

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First block ‘Q’ will move and P will move with ‘Q’ so by FBD taking ‘P’ and ‘Q’ as system F9=0F=9N When applied force is 4 N then FBD

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4kg block is moving due to friction and maximum friction force is 8 N. So acceleration = 84=2m/s2=amax

Slipping will start at when Q has +ve acceleration equal to maximum acceleration of P i.e. 2m/s2

F17=5×2F=27N

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