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MHT CET202619 April 2026Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

Two particles of masses 2 g and 4 g are situated at the opposite ends, A and B of a wooden bar respectively. Let l(AB) = 9 cm. The center of mass of the system will be

Options

  1. A6 cm from B.
  2. B3 cm from A.
  3. C2 cm from B.
  4. D6 cm from A.

Correct answer

D. 6 cm from A.

Step-by-step solution

Let the position of particle A be at the origin, so x_A = 0 . The position of particle B is x_B = 9 cm. The masses are m_A = 2 g and m_B = 4 g. The position of the center of mass from A is given by: x_ cm = m_A x_A + m_B x_B m_A + m_B x_ cm = 2 0 + 4 9 2 + 4 x_ cm = 36 6 = 6 cm. Thus, the center of mass is at a distance of 6 cm from A. Answer: 6 cm from A.

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