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Homework Statement
A uniform ladder of weight (W) is leaned across a rough wall and on a rough floor. The reaction at the wall is (S) with frictional force (G)(upward direction) while the reaction at the floor is (R) with frictional force (F)(away from the wall direction). Frictional forces are taken to be limiting and the ladder is in equilibrium. The ladder's top is 4m above the ground while its foot is 2m away from the wall. Assuming that the coefficient of friction is same at the wall and the ground, calculate the coefficient of friction.
Homework Equations
No equations specified, guessing F=ma, Moments equilibria and F=μR
The Attempt at a Solution
R(upwards) : R+G=W.........(1)
R(away from wall) : S=F........(2)
Moments(about foot) : 4S+2G=W......(3)
Moments(about top of ladder) : W+4F=2R...(4)
F=μR............(5)
G=μS............(6)
I may/may not have 6 independent equations to arrive at the solution so best not to consider them, but please do point out the errors, i can't seem to calculate μ with all these equations
(Answer μ=(√5)-1 )
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