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Question

Two block A and B placed on a plane surface as shown in the figure. The mass of block A is 100 kg and that of block B is 200 kg. Block A is tied to a stand and block B is pulled by a force F. If the coefficient of friction between the surfaces of A and B is 0.2 and the coefficient of friction between B and the plane is 0.3. then for the motion of B the minimum value of F will be:

282370_c4595f66867a4837a801fc92cdff2a00.png

A
700 N
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B
1050 N
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C
900 N
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D
1100 N
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Solution

The correct option is D 1100 N
f1=(μS)AmAg and f2=(μS)B(mA+mB)g
The minimum value of F should be (for just tending to move)
F=f1+f2=0.2×100+0.3×300=110g=1100N
264792_282370_ans_2984994b5c40498bba6ced3add7534a1.png

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