Finding the center of gravity with torque

[ari-anne]

Homework Statement

A uniform meter stick of weight 10N is loaded as follows: an 80N weight attached at the 10cm mark, a 30N weight attached at the 20cm mark, a 50N weight attached at the 60cm mark. What is the center of gravity of the loaded meter stick?

Relevant Equations

Torque= force x distance(when perpendicular)

I don't know how to find the center of gravity much less in this problem, so I just created a diagram of the pole with all the forces.

 

[haruspex]

Homework Statement:: A uniform meter stick of weight 10N is loaded as follows: an 80N weight attached at the 10cm mark, a 30N weight attached at the 20cm mark, a 50N weight attached at the 60cm mark. What is the center of gravity of the loaded meter stick?
Relevant Equations:: Torque= force x distance(when perpendicular)

I don't know how to find the center of gravity much less in this problem, so I just created a diagram of the pole with all the forces.

Then please post your diagram.

Let the centre of mass be at the x cm mark and compute the torques about it.

 

[ari-anne]

I placed the weight in where I thought it might go because it doesn't specify in the problem where the end points are or the center of the pole is

 

[haruspex]

I placed the weight in where I thought it might go because it doesn't specify in the problem where the end points are or the center of the pole is

Your diagram is fine. Assume the endpoints are at 0cm and 100cm.
What is the total torque around the 0cm mark?