Finding the center of gravity & mass by torque?

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To find the center of gravity and mass of a meter stick pivoted at the 50-cm mark, weights of 150 g and 200 g are placed at the 10-cm and 75-cm marks, respectively, to balance it. When the weights are interchanged, the pivot point shifts to the 43-cm mark. This indicates that the center of gravity of the meter stick is not at its midpoint due to material inconsistencies. The problem requires calculating the mass of the stick and its center of gravity using torque principles. Further discussion on this topic can be found in the existing thread in Intro Physics.
garfiegrl
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I don't know how to do these kinds of problems; I just need an example of one, could someone just work it out with an explanation?
Feel free to change the values or whatever.
This particular problem isn't to turn in, I'm studying for a test on this material.

A meter stick is pivoted the 50-cm mark but does not balance because of nonconformities in material.
150 g and 200 g weights ar placed at the 10-cm and 75-cm marks to balance the meterstick.
When the weights are interchange, the pivot point is at the 43-cm mark.
find the mass of the stick and the center of gravity.
 
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You already have a thread on this problem in Intro Physics. Please continue discussion there.
 
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