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?

Question

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?

Infinity Learn · Accepted Answer

Here, $$mA=m2$$, $$mB=m$$μ$$A=0.2$$, μ$$B=0.1Let$$ both the blocks are moving with common acceleration a. Then,$$a=$$μ$$AmAgmA=$$μ$$Ag=0.2gand$$ F−μ$$BmB+mAg=mB+mAaF=mB+mAa+$$μ$$BmB+mAg=m+m2(0.2g)+(0.1)m+m2g=32m(0.2g)+32m(0.1g)=0.92mg=0.45mg$$

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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