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Q.

Two blocks A and B of masses m = 10 kg and M = 20 kg respectively are placed on each other and their combination rests on a fixed horizontal surface C. A light string passing over the smooth light pulley is used to contact A and B as shown. The coefficient of sliding friction between all surfaces in contact is μ = 14. If A is dragged with a force F then for both A and B to move with a uniform speed , the value of F should be

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a

175 N

b

100 N

c

125 N

d

None of these

answer is C.

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Detailed Solution

f1=Frictional force on A=10×10×14N=25 N f2=Frictional force acting on B =(10+20)×10×14N=75 N For A T-f1=0 ⇒T=25 N For B, F-f1-f2-T=0 ⇒F =(25+75+25)N =125 N
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