# Applying a force on a rigid body on a certain point

I have a rigid body with an origin point (at the center of mass).

I want to apply a force on a certain point.

So what is the force applied to the origin of this rigid body?

Description image:

Note: I don't want the moment of torque.

More explanation:

Assume $p$ is a point in the space of a rigid body.

So if we had a force $\vec F_{p}$ at a point $p$, how can we get the $\vec F_{center}$?

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Any force applied to any part of a rigid object acts on the object as a whole. So if you were to place a directional force meter at the center of the object (or at any other point on the object), it would register the force $\vec{F}_p$.