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Q.

For the situation shown in figure, mark the correct options.

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a

At t=3s, pseudo force on 4 kg block applied from 2 kg is 4 N in forward direction

b

At t = 3s, pseudo force on 2 kg block applied from 4 kg is 2 N in backward direction 

c

Pseudo force does not make an equal and opposite pairs

d

Pseudo force also makes a pair of equal and opposite forces 

answer is B, C.

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Detailed Solution

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Maximum force of friction between 2 kg and 4 kg   =0.4 X 2 X 10 = 8 N

2 kg moves due to friction. Therefore its maximum acceleration may be  amax =82=4m/s2
Slip will start when their combined acceleration becomes 4 m/s2
=Fmor 4=2t6or t=12sAt t=3sa2=a4=Fm=2t6=2×36=1m/s2

Both a2 and a4 are towards right. Therefore pseudo forces F1 (on 2 kg from 4 kg) and F2 (on 4 kg from 2kg) are towards left
 F1 = (2) (1) =2N
 F2= (4) (1) = 4N

From here we can see that F1 and F2 do not make a pair of equal and opposite forces.

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