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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. A
    Only one
  2. B
    Only two
  3. C
    Only three
  4. D
    All four
View Answer & Solution

Correct answer · Option C

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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