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Question:

EASY 10 POINTS! Need help with this physics problem:?

The 12.2-m crane weighs 18 kN and is lifting a 67-kN loadThe hoisting cable (tension T1) passes over a pulley at the top of the crane and attaches to an electric winch in the cabThe pendant cable (tension T2), which supports the crane, is fixed to the top of the craneFind the tensions in the two cables and the force Fp at the pivot.I found T1 which was just the weight of the load.I'm a little confused on what trig functions or what formulas to use to get T2, Fp horizontal and Fp vertical.

Answer:

I can't quite make out the angle between T1 and T2I'll assume it is 10?; then T2 makes an angle of 35? w/r/t horizontal, and T1 makes an angle of 45?Sum the moments about the base of the crane; Σ M 00 T2cos35Lcos40 + T1cos45Lcos40 - T2sin35Lsin40 - T1sin45Lsin40 - W(L/2)sin40 - T1Lsin40 → length L cancels where W 18 kN 0 0.259T2 - 43kN T2 166 kN barring computational error Hope this helps!
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