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Q.

In the figure, the coefficient of friction between the floor and the block B is 0.1. The coefficient of friction between the blocks B and A is 0.2. The mass of A is m/2 and of B is m. What is the maximum horizontal force F which can be applied to the block B so that two blocks move together?

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a

0.15mg

b

0.05mg

c

0.1mg

d

0.45mg

answer is D.

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Detailed Solution

Here, mA=m2, mB=mμA=0.2, μB=0.1Let both the blocks are moving with common acceleration a. Then,a=μAmAgmA=μAg=0.2gand F−μBmB+mAg=mB+mAaF=mB+mAa+μBmB+mAg=m+m2(0.2g)+(0.1)m+m2g=32m(0.2g)+32m(0.1g)=0.92mg=0.45mg

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In the figure, the coefficient of friction between the floor and the block B is 0.1. The coefficient of friction between the blocks B and A is 0.2. The mass of A is m/2 and of B is m. What is the maximum horizontal force F which can be applied to the block B so that two blocks move together?