A weight W of 100 lbf is supported by a system of wires as shown below. Find the

Question

A weight W of 100 lbf is supported by a system of wires as shown below. Find the tension T_1 T_2 gamma_3 and T_4 in the wires of the system. Suggested Review Problems: Sl-l through SI- 5 The two vectors a and b in the figure shown below have equal magnitudes of 10.0 m. Find: a. Their vector sum r using the parallelogram law. b. The X and y components of their vector sum r. c. The magnitude of their vector sum r. d. The angle r makes with the positive direction of the x axis. Suggested Review Problems: S2middotl through S2middot5

Explanation / Answer

1] By balancing forces at junctions in both ertical and horizontal,

T2 sin 45 degree = W and T2 cos 45 degree = T1

T2=100*/sin 45 degree and T1 = 100 lbf

T2 = 141 lbf

again balancing at the other junction,

T3 = T2 cos 45 degree + T4 sin 30 degree and T4 cos 30 degree = T2 sin 45 degree

T3 = 100+0.5T4 and T4 = 100/cos 30 degree

T4 = 115.5 lbf ,

T3 = 100+0.5*115.5 = 157.75 lbf

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