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  4. The ratio of the weight of a man in a stationary lift and in a lift accelerating downwards with a uniform acceleration ' a ' is 3: 2 . The acceleration of the lift is

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Q. The ratio of the weight of a man in a stationary lift and in a lift accelerating downwards with a uniform acceleration ' $a$ ' is $3 : 2$ . The acceleration of the lift is

Laws of Motion

Solution:

$M g-N=M a$
or $N=M(g-a)$
Given $\frac{M g}{N}=\frac{3}{2}$ or $\frac{M g}{M(g-a)}=\frac{3}{2}$
$\Rightarrow 2 M g=3 M g-3 M a \Rightarrow a=\frac{g}{3}$

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