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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

Consider the following statements regarding the centre of mass (CM) and centre of gravity (CG) of an extended body: (A) The centre of mass of a body depends on the distribution of its mass and is independent of the gravitational field. (B) The centre of gravity of a body coincides with its centre of mass only if the gravitational field is uniform across all parts of the body. (C) In an extended non-uniform gravitational field, the net gravitational torque on the body about its centre of mass is necessarily zero. (D) The total torque on a system is independent of the choice of origin if the net external force on the system is zero. Choose the correct answer from the options given below:

  1. (A), (B) and (D) only
  2. (A) and (C) only
  3. (B), (C) and (D) only
  4. (A), (B), (C) and (D)

Correct answer · Option 1

(A), (B) and (D) only

Explanation

Statements (A), (B), and (D) are standard principles from the text. Statement (C) is false because in a non-uniform gravitational field, the gravitational torque about the CM is non-zero (it vanishes about the CG, not CM).
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