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COMEDK2014PhysicsCenter of Mass, Momentum and Collision

The centre of mass of a system of two bodies of masses M and m,(M>m) , separated by a distance d is

Options

  1. Amidway between the bodies
  2. Bcloser to the heavier body
  3. Ccloser to the lighter body
  4. Dat the centre of the heavier body

Correct answer

B. closer to the heavier body

Step-by-step solution

The given situation is shown below Let P be the location of centre of mass. If x₁ and x₂ be the distances of the centre of mass P from the two bodies of mass M and m(M>m) respectively, then array llrl & & M x₁ & =m x₂ & & x₁ x₂ & = m M Since, & & M>m & & x₁ x₂ < 1 & & x₁ < x₂ array Thus, position of centre of mass is closer to the heavier body.

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