Posted by sandhya on Thursday, October 14, 2010 at 6:17am.
Set the moment about the ladder/wall contact point equal to zero. Assume the ladder has no mass. (That is probably not a good assumption, but they did not provide a value). Let the ladder length be L, and the distance of the ladder bottom from the wall be x. The person's weight (980 N)cancels out. 0.34 is the STATIC friction coefficient. The normal force of the ground on the bottom of the ladder is 980 N.
(x/4)*980 + sqrt(L^2 -x^2)*0.34*980 = x*980
3x/(4L) = 0.34*sqrt[1 - (x/L)^2]
0.5625*(x/L)^2 = 0.1156[1 - (x/L)^2]
0.6781*(x/L)^2 = 0.1156
x/L = 0.413
thanks for your timely help.
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