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Three masses are placed on the x-axis: 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70 cm. The distance of the centre of mass from the origin is

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a
40 cm
b
45 cm
c
50 cm
d
30 cm

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detailed solution

Correct option is A

xCM = m1x1+m2x2+m3x3m1+m2+m3      = 300(0)+500(40)+400(70)300+500+400      = 20000+280001200 = 480001200 = 40 cm

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