Question

Calculate the moment of inertia of a system of a pair of uniform solid spheres, each having a mass m and radius r, kept in contact about the tangent passing through the point of contact.

Answer 1

The moment of inertia of a system of a pair of uniform solid spheres can be calculated by considering the individual moments of inertia of each sphere and adding them together.

Step-by-step explanation:

The moment of inertia of a system of a pair of uniform solid spheres can be calculated by considering the individual moments of inertia of each sphere and adding them together.

For a solid sphere, the moment of inertia is given by ((2/5) * m * r^2), where m is the mass of the sphere and r is the radius.

Since the spheres are kept in contact about the tangent passing through the point of contact, the distance between the centers of the spheres should be equal to the sum of their radii.

To calculate the moment of inertia of the system, we use the parallel-axis theorem and add the individual moments of inertia of the spheres together.

The moment of inertia of the system is given by