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What is a free vector?

What is a free vector?

A free vector(or non-localized vector) is a vector of which only the magnitude and direction are specified, not the position or line of action. Displacing it parallel to itself leaves it unchanged. These vectors change with change in position and direction.

Is the moment of a force about a point a free vector?

It is a free vector because it is not associated with particular location, like the moment of rotation. Similarly, a pure torque is not generated from a force at a distance (and hence the term moment is avoided) but something felt equally by all parts of the body.

Why velocity vector is a free vector?

Velocity is a vector because it is defined as a speed in a given direction. The magnitude of velocity is speed, which is simply velocity without direction, which makes speed itself a scalar quantity.

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Is a couple free vector?

In mechanics, a couple is a system of forces with a resultant (a.k.a. net or sum) moment but no resultant force. In rigid body mechanics, force couples are free vectors, meaning their effects on a body are independent of the point of application. The resultant moment of a couple is called a torque.

Is a moment a vector?

Torque or moment of force is a vector quantity. Torque is the force applied on a body perpendicularly.

Is velocity a free vector?

Vectors are usually first introduced as objects having magnitude and direction, for example translations, displacements, velocities, forces etc. Vectors defined this way are called free vectors . For example, if we walk from O to A we denote the displacement by \vec{OA}.

What is not a free vector?

A vector which is drawn parallel to a given vector through a specified point unlike free vector in space is called a localised vector. The effect of a force acting on a body depends not only on the magnitude & direction but also on its point of application & line of action.

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What is a couple vector?

What is moment of couple called?

Moment of couple is called torque.