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Center of Mass and Collision question

2020 · Q136
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Center of Mass and Collision question

2020 · Q136

NEETPhysicsCenter of Mass and CollisionMCQ+4 / −1
Two particles of mass 5 kg and 10 kg respectively are attached to the two ends 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 :
  1. A
    50 cm
  2. B
    67 cm
  3. C
    80 cm
  4. D
    33 cm
View written solutionFree

Correct answer: B

NEET 2020 Phase 1 Physics - Center of Mass and Collision Question 11 English Explanation

Let's assume both the particles are lying on X-axis.
Let the 5 kg particle is at the origin.
Then the X-coordinate of the centre of mass of the system is,

xcm=m1x1+m2x2m1+m2x_{cm}=\frac{m_{{}_{1}}x_{1}+m_{2}x_{2}}{m_{1}+m_{2}} xcm​=m1​+m2​m1​​x1​+m2​x2​​

= 5×0+100×105+10\frac{5\times 0+100\times 10}{5+10} 5+105×0+100×10​

= 66.66 cm ≃\simeq≃ 67 cm

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