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Home > Laws Of Motion

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Laws Of Motion

Question
CBSEENPH11020553
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Three masses are placed on the x- axis: 300g at origin, 500g at x = 40 cm and 400 g at x = 70 cm. The distance of the centre of mass from the origin is 

  • 40 cm

  • 45 cm

  • 50 cm

  • 30 cm

Solution
Multi-choise Question

A.

40 cm

straight x subscript cm space equals fraction numerator straight m subscript 1 straight x subscript 1 space plus straight m subscript 2 straight x subscript 2 space plus straight m subscript 3 straight x subscript 3 over denominator straight m subscript 1 plus straight m subscript 2 plus straight m subscript 3 end fraction
space equals space fraction numerator 300 space left parenthesis 0 right parenthesis space plus 500 space left parenthesis 40 right parenthesis space plus 400 space left parenthesis 70 right parenthesis over denominator 300 plus 500 plus 400 end fraction
equals space fraction numerator 20000 plus 28000 over denominator 1200 end fraction
space equals 48000 over 1200 space equals 40 space cm

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