Statics of body in two dimensions

[togo]

Homework Statement

Homework Equations

A 50 lb force is applied to a corner plate as shown. Determine an equivalent system consisting of a 150 lb force at B and another force at A.

The Attempt at a Solution

There is an algebraic solution to the problem, but I was wondering if it was possible to solve this problem using a table of moments and forces?

the Fx = 25 lb and Fy = 43.3 lb.

Thanks

 

[Spinnor]

First write down what you know.

We have a force at B and a force at A with components,

Bx, By, Ax, Ay.

We know the magnitude of B is √(Bx^2 + By^2) = 150 lbs.

We are given a force F = Fx i + Fy j

You know Fx = Ax + Bx and Fy = Ay + By

And we can take moments about points A and B (and at the point where F acts) to get two (three) more equations.

Its just a lot of algebra after that?

 

[togo]

a table like this:

if course it wouldn't be measured in kips, it would be measured in lbs.

 

[togo]

Let's abandon the table idea. Can someone explain to me why, in the solution to this problem, (part b) they say "Having found the direction of the forces P and P', we complete the solution..."

when as you can see in the photo, there is no indication of the direction of the force P', although P was solved for. (the solution seems to come after this sentence which confuses me). Thanks.

this is the missing information. Please help; there are no tutors available for this course, the teacher isn't available, and its getting extremely hard to find help.