JEE Main | 2018FrictionHard

Question

Two masses m1 = 5kg and m2 = 10kg, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is 0.15. The minimum weight m that should be put on top of m2 to stop the motion is :-

Options

A.

27.3 kg

B.

43.3 kg

C.

10.3 kg

D.

18.3 kg

Solution


50 - T = 5 × a
T - 0.15 (m + 10) g = (10 + m)a
a = 0 for rest
50 = 0.15 (m + 10) 10
5 = 320(m + 10)
1003= m + 10
m = 23.3 kg

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