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MHT CET202416 May 2024Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

Three identical metal balls each of radius ' r ' are placed such that an equilateral triangle is formed when centres of three ball are joined. The centre of mass of the system is located at

Options

  1. Acentre of one of the balls.
  2. Bpoint of intersection of medians.
  3. Cline joining centres of any two balls.
  4. Don the circumference of any one of the balls.

Correct answer

B. point of intersection of medians.

Step-by-step solution

Balls are identical and of same radius, so volume and density of balls are the same. Masses of the ball will be same aligned & X _ cm = mx ₁+ mx ₂+ mx ₃ ~m + m + m = x ₁+ x ₂+ x ₃ 3 & Y _ cm = my ₁+ my ₂+ my ₃ ~m + m + m = y ₁+ y ₂+ y ₃ 3 aligned X _ cm , Y _ cm is the centroid of the equilateral triangle.

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