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Question

# A block of mass m1 is resting on a rough horizontal plane, coefficient of kinetic friction between block and surface is μ. If m1 is connected to another mass m2 with the help of string and pulley as shown in figure, then the common acceleration when the system is released from rest will be :

A
m2gm1+m2
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B
[m2m1m1+μm2]g
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C
μ(m2+m1)m1+m2g
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D
[m2μm1m1+m2]g
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Solution

## The correct option is D [m2−μm1m1+m2]gGiven, Coefficient of friction =μ Tension in string T=m2g Friction force Fr=μm1g Resultant force give acceleration a to the system (m1+m2)a=m2g−Fr ⇒(m1+m2)a=m2g−μm1g ⇒a=m2g−μm1gm1+m2 Acceleration of system is a=[m2−μm1m1+m2]g

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