Posted by natali on Sunday, November 11, 2007 at 1:46am.
No, that is not right. You can't multiply a force (100 N) by a dimensionless number (0.4) and end up with degrees.
You need to write a moment balance equation for for the ladder an angle of tilt that causes the friction force on the floor to equal the maximum static friction, which is 0.40^100 = 40 N
Write an equation for the total moment about the point where the ladder touches the wall, and set that moment equal to zero. Three terms will contribute: the ladder's mass acting through the center of the ladder, a horizontal friction force of 40 N, and an upward force at the wall of 100 N.
?
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