System of Particles and Rotational Motion

Which physical quantity remains constant for a system of particles if no external force acts on it?

A uniform wire is bent into the shape of a circle. Its center of mass is at:

If the center of mass of a system is at the origin, the sum of the products of the mass and the x-coordinate for all particles is:

For a rigid body, the direction of angular momentum is always along the:

Which of the following describes the relationship between angular momentum and linear momentum for a particle?

If the angular momentum of a body increases at a constant rate, then the torque acting on it must be:

The moment of a force depends on:

A person carrying a bucket of water in one hand leans to the other side to:

The magnitude of torque is maximum when the angle between $\vec{r}$ and $\vec{F}$ is:

The moment of inertia of a thin uniform semicircular wire of mass $M$ and radius $R$ about an axis passing through its center (of the circle) and perpendicular to its plane is:

What happens to the moment of inertia of a rotating disc if its temperature is increased? (Assume it expands)

Two point masses each of mass $m$ are placed at a distance $r$ from each other. The moment of inertia of the system about an axis passing through their center of mass and perpendicular to the line joining them is: