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Question: Answered & Verified by Expert

Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle of sides 4.0 cm, 3.0 cm and 5.0 cm as shown in the figure. The centre of mass of the system is at a point:

PhysicsCenter of Mass Momentum and CollisionJEE MainJEE Main 2020 (07 Jan Shift 1)
Options:
  • A 0.6 cm right and 2.0 cm above 1 kg mass.
  • B 1.5 cm right and 1.2 cm above 1 kg mass.
  • C 2.0 cm right and 0.9 cm above 1 kg mass.
  • D 0.9 cm right and 2.0 cm above 1 kg mass.
Solution:
2329 Upvotes Verified Answer
The correct answer is: 0.9 cm right and 2.0 cm above 1 kg mass.

Take 1 kg mass at origin

Xcm=1×0+1.5×3+2.5×05=0.9 cm
Ycm=1×0+1.5×0+2.5×45=2 cm

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