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The system is pushed by a force F as shown in figure. All surfaces are smooth except between B and C. Friction coefficient between B and C is μ. Minimum value of F to prevent block B from downward slipping is:

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a

(32μ)mg

b

(52μ)mg

c

(52)μmg

d

(32)μmg

answer is B.

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Detailed Solution

Horizontal acceleration of the system isa = F2m+m+2m = F5mLet N be the normal reaction between B and C. Free body diagram of C givesN = 2ma = 25FNow, B will not slide downward if 1μN ≥mBgor μ(25F) ≥ mg or F ≥ 52μmgor Fmin = 52μmg

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The system is pushed by a force F as shown in figure. All surfaces are smooth except between B and C. Friction coefficient between B and C is μ. Minimum value of F to prevent block B from downward slipping is: