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Laws Of Motion

Question
CBSEENPH11016381

A man of mass M is standing in a lift accelerating down with acceleration a. If the lift starts accelerating in upward direction with acceleration a, then what will be the reading of weighing machine?

Solution
Given, mass of the man = M
Acceleration of the man standing on the lift = a m/sacting downwards
Acceleration of the lift = a m/s2 acting upwards 
Reading of the weighing macine is given by, 
        R' = straight m left parenthesis straight g plus straight a right parenthesis 
i.e,   R = fraction numerator straight R apostrophe over denominator straight g end fraction kg, is the reading of the weighing machine.