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Question

Two blocks of masses m1=m2=m are connected by a string of negligible mass which passes over a frictionless pulley fixed on the top of an inclined plane as shown in the figure. When the angle of inclination θ=30, the mass m1 just begins to move up the inclined plane. What is the coefficient of friction between blockm1 and the inclined plane?


A

12

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B

122

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C

13

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D

123

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Solution

The correct option is C

13



The block m1 will just begin to move up the plane if m1g sin θ+f equals tension T.
m1g sin θ+f=Tm1g sin θ+μm1g cosθ=T........(1)
For block m2, T=m2g
Putting T=m2g in equation (1), m2g=m1g(sinθ+μ cos θ)
Now, it is given that m1=m2=m and θ=30.
Therefore, we have 1=sin 30+μ cos 30
μ=13
Hence, the correct choice is (c).


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