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Q.

A block of mass m is placed on another block of mass M which itself is lying on a horizontal surface .The coefficient of friction between two blocks is μ1 and that between the blocks of mass M and horizontal surface is μ2. What maximum horizontal force (in N)  can be applied to the lower block so that the two blocks move without separation? (givenμ1=0.2   μ2=0.3m=2kg  M=5kg  g=10ms2)

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answer is 35.

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Detailed Solution

Frictional force Acting on the upper block of m should not be more than the Limiting friction

fm=μ1mg.

a=μ1g...(1)

Let the system moves with Acceleration a . Then for whole system:

Fμ2(M+m)g=(M+m)a

using (1)

we get  F=(μ1+μ2)(M+m)g

F=35 N

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