- #1
zenterix
- 758
- 84
- Homework Statement
- Three forces are applied to a square plate as shown in the figure below. Find the modulus, direction, and the point of application of the resultant force, if this point is taken on the side
.
- Relevant Equations
Here is what I came up with
First, let's compute the resultant force.
At this point we already have the magnitude and direction of the resultant force. We need the point of application.
My question is how to find this point. I don't actually know how to do this.
What I thought at first was that the resultant force would have to be applied at a point such that the torque produced by it would be the same as the net torque on the rigid body.
Let
Net torque about the center is
and if
If we equate this to net torque and solve for
which seems to be the purple line below
It seems not to matter what the
The solution manual says the following:
This force is parallel to the diagonal AC and is applied at the midpoint of the side BC.
Which is not in accordance with my attempt at a solution. Which isn't surprising given that I am very unsure about how to find the point of application of a resultant force on a rigid body.