The maximum value of mass of block C so that neither A nor B moves is (Given that mass of A is 100kg and that of B is 140kg. Pulleys are smooth and friction coefficient between A and B and between B and horizontal surface is :(μ=0.3,g=10m/s2).
A
210kg
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B
190kg
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C
185kg
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D
162kg
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Solution
The correct option is D162kg μ=0.3 MA=100kg MB=140kg From the F.B. D of the blocks: T"=Mcg T′=2T T=μMAg T"=μMAg+2μMAg+μ[MA+MB]g =μg[4MA+MB] Mcg=0.3g[4×100+140] Mc=0.3[540] =3×54 =162kg