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Question

Four point masses 2 kg, 3 kg, 5 kg and 7 kg respectively are placed at the four corners A, B, C and D of a square of side 4 m. The position of COM will be


A
(4817, 3217) m
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B
(3217, 4817) m
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C
(2, 4)
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D
(2, 2)
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Solution

The correct option is B (3217, 4817) m
Given, m1=2 kg, m2=3 kg, m3=5 kg, m4=7 kg
Position of mass m1(x1, y1)=(0,0)
Position of mass m2(x2, y2)=(4,0)
Position of mass m3(x3, y3)=(4,4)
Position of mass m4(x4, y4)=(0,4)
x coordinate of COM: xcm=m1x1+m2x2+m3x3+m4x4m1+m2+m3+m4
=2×0+3×4+5×4+7×02+3+5+7=3217 m
y coordinate of COM: ycm=m1y1+m2y2+m3y3+m4y4m1+m2+m3+m4
=2×0+3×0+5×4+7×42+3+5+7=4817 m

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