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The coefficient of friction between block A of mass $m_{1} = 5 k g$ and block B of mass $m_{2} = 10 k g$
is $μ = 0.5$ . There is no friction force between block B and fixed horizontal
surface. A force of 300 N acts on block B in horizontal direction and a horizontal
force of magnitude F acts on block A as shown. Both towards right. The minimum
value of F such that relative motion starts between A and B is

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200 N

187.5 N

150N

Zero

answer is D.

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Detailed Solution

if F=0
Then assuming no relative motion acceleration of $A + B = \frac{300}{15} = 20 m / s^{2}$
$ϕ 20 m / s^{2} > μ g$ where $μ = 0.5 a n d g = 10 m / s^{2}$
$∴$ relative motion shall exist Hence $F = 0 N$

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