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Q.

Two blocks (m and M) are arranged as in figure. There is friction between ground and M only and other surfaces are frictionless. The coefficient of friction between ground and M is μ = 0.25. The maximum ratio of m and M (m/M) so that the system remains is at rest

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a

13

b

14

c

3

d

none of these

answer is A.

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Detailed Solution

As system is at restT=mg .......(i)f=T ........(ii) and f≤μNHere N=Mg+T=(M+m)gT≤μ(M+m)gmg≤μ(M+m)gmM≤μ(1−μ)mM≤0.25(1−0.25)⇒mM≤13

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