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January 26, 2015

January 26, 2015

Posted by **Stacey** on Friday, May 7, 2010 at 10:12pm.

- Physics -
**drwls**, Saturday, May 8, 2010 at 12:23amThe upper wall exerts only a normal force on the ladder -- no friction force. The normal force there (F1) is such that

F1*L sin 50 = W*L/2* cos 50

F1 = (1/2)*W tan 50 = 0.596 W

The normal force at the base equals the weight W, since the other contact point is smooth and frictionless. If it is just about to slip, the maximum static friction force at the base (Ff,max) equals the normal force at the top, which I called F1.

Ff,max = mus*W = F1 = W/2 tan 50

mus = F1/W = (1/2) tan 50 = 0.596

is the static friction coefficient

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