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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

Consider the following statements regarding the centre of mass of a system: (A) The centre of mass of a rigid body must necessarily lie inside the material of the body. (B) If the origin of coordinates is chosen at the centre of mass of a system of particles, then \( \sum m_i \mathbf{r}_i = 0 \). (C) For any homogeneous body possessing reflection symmetry about a plane, the centre of mass lies in that plane of symmetry. (D) The centre of mass of a uniform triangular lamina coincides with the point of concurrence of its medians. How many of the above statements are correct?

  1. Only one
  2. Only two
  3. Only three
  4. All four

Correct answer · Option 3

Only three

Explanation

Statement (A) is false because the CM of a ring or hollow sphere lies outside its material. Statements (B), (C), and (D) are strictly correct. Hence, exactly three statements are correct.
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