What is the minimum mass of the barbell without tipping?

[Luke0034]

Homework Statement

Typical weight sets used for bodybuilding consist of disk-shaped weights with holes in the center that can slide onto 2.20 m long barbells. A barbell is supported by racks located a fifth of its length from each end, as shown in the figure. What is the minimum mass m of the barbell if a bodybuilder is to slide a weight with = 22.0 kg onto the end without the barbell tipping off the rack? Assume that the barbell is a uniform rod.

Homework Equations

sum of all torques = 0

The Attempt at a Solution

I tried to make the the intersection of the barbell and the left rack the pivot point. Then I found the torque of the weight, the center of mass of the bar, and then the 2nd rack, but I came out with the wrong answer. I think I'm on the right track on how to do it, but I'm not sure where I'm messing up. Explanation would be helpful... studying for an upcoming test. Thanks!

 

[BvU]

1. Make sure the problem statement is complete. What about the mass of the bar ?
2. show your calculation work in detail

Good luck !

 

[Luke0034]

1. Make sure the problem statement is complete. What about the mass of the bar ?
2. show your calculation work in detail

Good luck !

I'll try to find the page I did this on, but the mass of the bar is what I'm trying to find.

 

[Luke0034]

1. Make sure the problem statement is complete. What about the mass of the bar ?
2. show your calculation work in detail

Good luck !

Never mind, I got the answer myself haha.

 

[gneill]

Never mind, I got the answer myself haha.

Can you provide the mass of the bar so others can work the problem if they come across this thread?