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

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10.3 kg

43.3 kg

27.3 kg

18.3 kg

answer is B.

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Detailed Solution

from FBD of mass m1 we get t=5g

to stop the motion T ≤ μ(m2+m)g

=> 5g ≤ 0.15(10+m)g

=>m ≥ 23.3kg

so the minimum mass that can stop motion is 23.3kg but among the options best option is option D.

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