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Q.

The minimum acceleration that must be imparted to the cart in the figure so that the block A will not fall (given μ is the coefficient of friction between the surfaces of block and cart) is given by:

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a

μg

b

gμ

c

gμ

d

μg

answer is B.

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Detailed Solution

The friction force on the block will prevent the block from falling it.From figure: N = ma and F = mg ⇒ μN = mg ⇒ μma = mg ⇒ a = gμ

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The minimum acceleration that must be imparted to the cart in the figure so that the block A will not fall (given μ is the coefficient of friction between the surfaces of block and cart) is given by: