Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीConsider 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?
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.