Question
Four Particles of masses 1 kg, 2 kg, 3 kg, and 4 kg are placed at the corners of a square of side 2 m in the x – y plane in anticlockwise sense. If the origin of the co-ordinate system is taken at the mass of 1 kg, the (x, y) co-ordinates of the centre of mass, expressed in 'metre' are
Answer: Option A
:
A
The (x, y) co - ordinates of masses 1 kg, 2kg, 3kg and 4kg respectively are
(x1=0,y1=0),(x2=2m,y2=0),(x3=2m,y3=2m),(x4=0,y4=2m).
The (x, y) co-ordinates of the centre of mass are
xCM=1kg×0+2kg×2m+3kg×2m+4kg×01kg+2kg+3kg+4kg=1m
yCM=1kg×0+2kg×0+3kg×2m+4kg×2m1kg+2kg+3kg+4kg=75m
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:
A
The (x, y) co - ordinates of masses 1 kg, 2kg, 3kg and 4kg respectively are
(x1=0,y1=0),(x2=2m,y2=0),(x3=2m,y3=2m),(x4=0,y4=2m).
The (x, y) co-ordinates of the centre of mass are
xCM=1kg×0+2kg×2m+3kg×2m+4kg×01kg+2kg+3kg+4kg=1m
yCM=1kg×0+2kg×0+3kg×2m+4kg×2m1kg+2kg+3kg+4kg=75m
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