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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

answer is A.

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Detailed Solution

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

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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