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Two blocks of masses m and 2m are placed one over the other as shown in figure. The coefficient of friction between m and 2m is μ and between 2m and ground is μ3. If a horizontal force F is applied on upper block and T is tension developed in string, then choose the incorrect alternative.

a
If F=μ3mg,T=0
b
If F=μmg,T=0
c
If F=2μmg,T=μmg3
d
If F=3μmg,T=0

detailed solution

Correct option is C

f1 = maximum value of friction between m and 2m = μmgf2 = maximum value of friction between 2m and ground   = μ3(3m)g = μmgNow, let us draw free body diagram of m and 2m in all four cases. (i)      (ii)  (iii)  (iv)

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