Why is the moment of a couple independent?

It is independent of the axis because it work with the average of the distance and works along line of center of mass of the body.

What does the moment of a couple depend on?

Since the moment of a couple depends only on the distance between the forces, the moment of a couple is a free vector.

What is couple show that moment of couple is same irrespective of the point of rotation of a body?

It is the product of one of the forces of couple and perpendicular distance between the forces of couple. The perpendicular distance between the forces of couple is independent of the point of rotation of the body. Hence, we conclude that the moment of couple is same irrespective of the point of rotation of the body.

How does the moment of couple differ from the moment of force?

A couple consists of two equal and opposite forces acting with two different but parallel lines of action. Moment of a force is dependent on the distance from the pivot and the magnitude of the force while the moment of a couple is the net effect of the two moments of the forces.

Why is the moment of couple independent of axis of rotation?

The magnitude of the moment of couple or torque is equal to the product of one of the forces and the perpendicular distance between the lines of action of the two forces. The calculation is not linked with the axis of rotation. Hence it is independent of the position of the axis of rotation.

Which of the following is independent of the moment center?

The moment of inertia of a body is independent of its angular velocity.It depends upon the position and orientation of the axis of rotation,shape and size of the body and distribution of mass of the body about the axis of rotation.

Can a couple be balanced by a single force?

A couple CANNOT be put in equilibrium by a single force! A couple can only be put in equilibrium by a moment or another couple of equal magnitude and opposite direction anywhere in the same plane or in a parallel plane.

Does the moment of a couple change with a change in the position of the point about which it is causing a rotation?

The moment of force changes with the change in the axis of rotation while the moment of a couple about any axis is constant. The magnitude of the moment of a force about the given axis depends on the magnitude of the force and the perpendicular distance of the line of action of a force from the axis of rotation.

What is relationship between the moment of a force and the force exerted?

The magnitude of the moment of a force acting about a point or axis is directly proportinoal to the distance of the force from the point or axis. It is defined as the product of the force (F) and the moment arm (d).