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Two blocks of mass 5 kg and 3 kg are attached to the ends of a string passing over a smooth pulley fixed to the ceiling of an elevator. The elevator is accelerated upwards. If the acceleration of the blocks relative to the lift , is $\frac{9}{32} g$ , the acceleration of the elevator is

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$\frac{g}{8}$

$\frac{g}{6}$

$\frac{g}{3}$

$\frac{g}{4}$

answer is C.

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Detailed Solution

Let acceleration of lift is a upwards. Then, with respect to lift,

$a_{r} = \frac{Net pulling force}{Total mass} = \frac{(5 g + 5 a) - (3 g + 3 a)}{8}$

$\Rightarrow \frac{9}{32} g = \frac{(g + a)}{4}$ (Given)

$∴ a = \frac{g}{8}$

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