Equivalent force systems (statics)

[jegues]

Homework Statement

See figure

Homework Equations

$$\sum F_{x} = 0$$

$$\sum F_{y} = 0$$

The Attempt at a Solution

I'm confused as to how to check which systems are equivalent.

Do I just have to simply reduce all the systems to one force?

I tried comparing systems (a) and (b) and they don't seem to be the same.

If I take moments about the bottom left corner,

$$M_{a} = 63N.m$$
$$M_{b} = 35N.m$$

I'm confused as to which route I should take to solve the problem. Any ideas?

 

[PhanthomJay]

No figure attached.

 

[jegues]

No figure attached.

Sorry about that, it should be in the OP now.

 

[PhanthomJay]

The force systems are equivalent if the resultant force and moments about a point, of each system, are the same. You are correct that 'a' and 'b' are not equivalent. What about 'a' and 'c'?

 

[jegues]

That's all I needed!

Thank you!