Question

Two spheres A and B of masses m and 2m and radii
2R and R 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

Answer 1

Answer:

At the point of contact

Explanation:

Answer 2

Answer:

The correct answer is Option C : at the point of contact.

Explanation:

Distance of the center of mass from center of sphere A :

$r_1 =\frac{m_Br}{m_A+m_B}$

$\frac{2m*3R}{m+2m} =2R$

Therefore the center of mass is at the point of contact of the two spheres A and B.

Center of mass : The center of mass of an object or set of objects is a position specified relative to it. It is the weighted average position of all the system's parts, based on their masses.