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KCET2025PhysicsCenter of Mass, Momentum and Collision

Three particles of mass 1 ~kg , 2 ~kg and 3 kg are placed at the vertices A , B and C respectively of an equilateral triangle ABC of side 1 m . The centre of mass of the system from vertex A (located at origin) is

Options

  1. A( 7 12 , 3 3 12 )
  2. B( 9 12 , 3 3 12 )
  3. C( 7 12 , 6+3 3 12 )
  4. D(0,0)

Correct answer

A. ( 7 12 , 3 3 12 )

Step-by-step solution

aligned & x _ cm = mixi mi & = 1 0+2 1+3 1 2 6 = 7 12 & y _ cm = miyi mi = 1 0+2 0+3 3 2 6 = 3 3 12 aligned

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