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December 20, 2014

December 20, 2014

Posted by **Min** on Tuesday, November 27, 2012 at 1:24am.

I found the ladder to be 6m and the center of mass to be at 4.29m. I'm confused as to how to incorporate the center of mass into the problem. Thanks in advance!

- Physics -
**drwls**, Tuesday, November 27, 2012 at 3:18amAssume the 100 N weight of the ladder is applied at the computed location of the center of mass.

The normal (vertical) contact force at the lower point of contact with the ground is 190 N, and there is a horizontal friction force applied there that equals 190*0.60 = 114 N. set the total moment about the upper point of wall contact equal to zero, and solve for the unknown location of the pig.

- Physics -
**Min**, Tuesday, November 27, 2012 at 3:59amSo for the equation for the total, would this be correct?

(100)(4.29)cos30 - (90)(x)cos30 + (114)(6)sin30 = 0

- Physics -
**drwls**, Tuesday, November 27, 2012 at 5:49amNo, the 100 and 90 weights produce a torque in the same direction. Those terms should have the same sign.

I get

(100)(4.29)cos30 + (90)(x)cos30 - (114)(6)sin30 = 0

I did not understand the

lambda = Cx^(3/2) part of your problem. I assume that it has something to do with ladder weight distribution but I have not verified your answer of 4.29.

- Physics -
**Min**, Tuesday, November 27, 2012 at 6:35amYes, it does have to do with the weight distribution. I'm confident with the 4.29 so up to here is all I need. Thank you for your help!

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