Can two objects with the same mass have different rotational inertias?

Is it possible for two objects with the same mass to have different rotational inertias? Explain. Yes. The rotational inertia depends upon how the mass is distributed about the axis of rotation, so the same mass can result in a different rotational inertia if it is distributed differently.

Why do different objects have different moment of Inertias?

It depends upon the mass as well as the mass’s distribution around its axis. A body can have different moments of inertia about different axes. It is an inherent property of matter by which it tries to maintain its state of angular motion unless and until it is compelled by external torques.

Do all objects have a single rotational inertia?

Rotational inertia is a property of any object which can be rotated. Rotational inertia plays a similar role in rotational mechanics to mass in linear mechanics. Indeed, the rotational inertia of an object depends on its mass. It also depends on the distribution of that mass relative to the axis of rotation.

Does the rotational inertia of a particular object differ?

The rotational inertia of any object is less when its mass is concentrated closer to the axis of rotation. Their different masses make no difference, just as the acceleration of free fall is not affected by different masses. All objects of the same shape have the same “laziness per mass” ratio.

What happens when two torques act equally in opposite directions?

When two torques of equal magnitude act in opposing directions, there is no net torque and no angular acceleration, as you can see in the following video. If zero net torque acts on a system spinning at a constant angular velocity, the system will continue to spin at the same angular velocity.

How does mass affect rotational inertia?

If two objects have the same shape but different mass, the heavier one will have a larger moment of inertia.

How can the Inertias of objects be compared?

The more inertia that an object has, the more mass that it has. A more massive object has a greater tendency to resist changes in its state of motion.

Why does rotational inertia have no direction?

Simple answer is NO. It is just a property of a body to resist the change in its angular velocity just like inertia which resists the change in linear velocity or more importantly State of rest or motion.

What is it about an object that gives it rotational inertia?

Rotational inertia depends both on an object’s mass and how the mass is distributed relative to the axis of rotation. Unlike other scenarios in physics where we simplify situations by pretending we have a point mass, the shape of an object determines its rotational inertia.

What does rotational inertia depend on?

mass
Rotational inertia depends both on an object’s mass and how the mass is distributed relative to the axis of rotation. Unlike other scenarios in physics where we simplify situations by pretending we have a point mass, the shape of an object determines its rotational inertia.

Are torques equal and opposite?

A torque is exactly the same as two equal and opposite forces acting at different points on a body. Each force has an equal and opposite reaction force, and the reaction forces are the same as an equal and opposite torque.