Q.

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.

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a

If F=μ3mg,T=0

b

If F=μmg,T=0

c

If F=2μmg,T=μmg3

d

If F=3μmg,T=0

answer is C.

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Detailed Solution

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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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.