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Q.

The mass of a uniform ladder of length 5m is 20kg. A person of mass 60 kg stands on the ladder at a  height of 2m from the bottom. The position of center of mass of the ladder and man from the bottom nearly is

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a

2.5 m

b

3.5 m

c

1 m

d

2.125 m

answer is D.

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Detailed Solution

length of the ladder = 5 m

Mass of the ladder = 20 kg

Mass of the person = 60 kg

r1=2.5, r2=2

xcm=m1r1+m2r2m1+m2

=20×2.5+60×220+60

=50+12080=17080=178=2.125m

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