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Two particles of mass 5 kg and 10 kg res...

Two particles of mass 5 kg and 10 kg respectively are attached to the twoends of a rigid rod of length 1 m with negligible mass. the centre of mass of the system from the 5 kg particle is nearly at a distance of :

A

33cm

B

50cm

C

67cm

D

80cm

Text Solution

Verified by Experts

The correct Answer is:
C

`x_(cm)=(m_(1)x_(1)+m_(2)x_(2))/(m_(1)+m_(2))`
`=(5xx0+100xx10)/(5+10)=(200)/(3)=66.66cm`
`x_(cm)~= 67cm`
Aliter

mr =constant `impliesr prop (1)/(m)`
`(r_(1))/(r_(2))=(m_(2))/(m_(1))=(10)/(5)=(2)/(1)`
`r_(1)=(2)/(3)r=(2)/(3)xx1m`
`=(2)/(3)xx100cm=66.66cm=67cm`
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