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Two moasses m(1)=5kg and m(2)=10kg, conn...

Two moasses `m_(1)=5kg and m_(2)=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 weitght m that should be put on top of `m_(2)` to stop the motion is :-

A

43.3 kg

B

10.3 kg

C

18.3 kg

D

27.3 kg

Text Solution

Verified by Experts

The correct Answer is:
d
for `m_(1)` to be at rest
T=5g
for m & `m_(2)` to be at rest
`f=T =5g fle mu (N)`
`rarr f le 0.15 m +m_(2) g rarrr m ge 23.33 kg`
amongst the options minimum mass that can be kept for no motion is 27.3 kg
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