Determine the force in each cable and the force F needed to hold the lamp of mass

Question:

Determine the force in each cable and the force F needed to hold the lamp of mass M in the position shown. Hint: First analyze the equilibrium at B; then, using the result for the force in BC, analyze the equilibrium at C.

Given:
M = 4 kg
θ1 = 30 deg
θ2 = 60 deg
θ3 = 30 deg


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