See the this link for problem statement, http://i48.tinypic.com/vphsm1.jpg
Case 1 I've solved, however I'm unsure about how good my solution is for case 2.
F=ma Fu = N * uk
The Attempt at a Solution
Ok first I sum the forces in the y direction orientated about the log so my y direction is normal to the log.
N - 400(9.81)cos(a) = 0
then i do a force summation in the x direction.
0.5*N -2T +400*9.81sin(a)=0
next I do a force summation on block A in the upward direction, where the downward direction is positive,
125(9.81)-T = 0
so T =1226.25 N
Now this where i get stuck.
I have two equations with two unknowns but can't solve for a. my attempt is as follows:
then i sub this into 0.5*N -2T + 200*9.81sin(a)
to get 1962cos(a) -2452.5 + 3924sin(a) =0
but i cannot solve this equation for a.
Any tips on where I'm going wrong would be greatly appreciated. Thanks!