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Q.

The coefficient of  friction, μ between block A of mass 2 kg and the table as shown in the figure is 0.2. What would be the  mass  of block B so that the two blocks  move with an acceleration of  2m/s2? (The string and the pulley are assumed to be smooth and massless ; g = 10 m/s2)

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a

2 kg

b

1 kg

c

2.5 kg

d

4 kg

answer is B.

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Detailed Solution

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For block A  T-μmAg=mAa  and for block B    mBg-T=mBa  

Adding the two equations

mBg-μmAg=amA+mB mBg-a=mAa+μmAg mB10-2=22+0.2×10 =8 mB=1 kg

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