Point of application of force

Abdul Quadeer

1. The problem statement, all variables and given/known data

Three forces are applied to a square plate of side a. The point of application (on side BC) of the resultant force is ?

3. The attempt at a solution

Resultant force acts along AC with magnitude 2F. How to find the point of application that too on a given side?

PhanthomJay

The resultant force does not act along a line from A to C. The resultant force is the force that is the vector sum of the individual forces, the line of action of which produces the same torque about any point as the sum of the torques of the individual forces about that point. It is often best to first break each force into its component forces.

SammyS

To make things easier, look at the torque about point A.

You do have the correct direction (to the right) and magnitude for the resultant force, just not the correct location.

Abdul Quadeer

Quote by PhanthomJay

the line of action of which produces the same torque about any point as the sum of the torques of the individual forces about that point.

I did not know about this. Now the problem is a piece of cake

Thanks!

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Abdul Quadeer	Point of application of force 1. The problem statement, all variables and given/known data Three forces are applied to a square plate of side a. The point of application (on side BC) of the resultant force is ? 3. The attempt at a solution Resultant force acts along AC with magnitude 2F. How to find the point of application that too on a given side? Attached Thumbnails

PhanthomJay Recognitions: Gold Member Homework Help Science Advisor	The resultant force does not act along a line from A to C. The resultant force is the force that is the vector sum of the individual forces, the line of action of which produces the same torque about any point as the sum of the torques of the individual forces about that point. It is often best to first break each force into its component forces.

SammyS Mentor	To make things easier, look at the torque about point A. You do have the correct direction (to the right) and magnitude for the resultant force, just not the correct location.