Question

Two spheres A and B of masses \( m \) and \( 2m \) and radii \( R \) and \( 2R \) respectively are placed in contact as shown. The COM of the system lies

• A. inside A
• B. inside B
• C. at the point of contact
• D. None of these

Hint:

The center of mass of two spheres in contact lies at the point of contact if their masses are in a simple ratio.

Answer 1

The Correct Option is C

Step 1: Understanding the center of mass.
The center of mass of a system is determined by the weighted average of the positions of the masses.

Step 2: Calculation for two spheres.
In this case, the COM of the two spheres lies at the point of contact because their centers are aligned, and their masses are in the ratio 1:2.