Answer to Question #280556 in Physics for hjkl

Question

Two wires were used to suspend a 50kg object. The first cable is attached at 45° to the ground, while the second cable is attached at 30° to the ground. What is the value of T₁ and T₂?

Answer 1

$T_1\cos{45}=T_2\cos{30}\\T_1\sin{45}+T_2\sin{30}=mg\\ \\T_1\sin{45}+T_1\frac{\cos{45}}{\cos{30}}\sin{30}=50(9.8)\\T_1=439\ N\\T_2=359\ N$