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Concepts Of Physics MCQ Edition [Volume 1]PhysicsCentre of Mass, Linear momentum, Collision

Examine the following two equations: (A) R = 1 M _ i m_i r _i (B) a _ CM = F M In a noninertial reference frame,

Options

  1. Aboth equations are correct
  2. Bequation A is correct but B is incorrect
  3. Cequation B is correct but A is incorrect
  4. Dboth equations are incorrect

Correct answer

B. equation A is correct but B is incorrect

Step-by-step solution

Equation (A) represents the definition of the position vector of the center of mass. It is a purely geometric relation and remains valid in all reference frames, whether inertial or non-inertial. Equation (B) represents Newton's second law for a system of particles. In a non-inertial reference frame, pseudo forces must be taken into account along with the real external forces. The correct equation in a non-inertial frame is M a _ CM = F _ ext + F _ pseudo . Thus, equation (B) is incorrect in a non-inertial frame. T

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