(b) Discuss the apparant weight of a person in a lift/elevator when-
(i) lift is stationary (ii) left is moving up wards
(iii) lift is moving downwards.
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Answer:
When lift accelerates up, pseudo force acts downwards, hence it increases apparent weight. W 1>mgWhen lift is stationary, W 2=mgWhen lift falls freely, it accelerates with g downwards, causing an upwards pseudo force in the frame of the lift equal to mg. Hence total force is 0. So weight is 0. W 3=0
When lift accelerates down, pseudo force acts upwards, hence it decreases apparent weight WW4 <mg, but also the acceleration is less than g,thereforeW 4=m(g−a)>0
Hence, W 3<W 4 <W 2<W 1
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ANSWER
Apparent weight of a person in lift will be m(g+a) while moving upwards whereas it will be m(g−a) while moving downwards.
Hence, as per the given information,
m(g+a)=2m(g−a)
g+a=2g−2a
Hence, a=
3
g
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