Asked by Anonymous
a student weighing 160 pounds hangs for dear life from a cable tied to two other cables fastened to a support as shown above. the upper cables make angles of 39 and 55 with the horizontal. these upper cables are not as strong as the vertical cable and will break if the tension in them exceeds 500N
Answers
Answered by
Henry
M = 160Lbs * 0.454kg/Lb. = 72.64 kg.
M*g = 72.64 * 9.8 = 711.9 N., Downward = -711.9 N.
T1*Cos(180-39) = -T2*Cos55.
T1 = 0.738T2.
T1*sin(180-39) + T2*sin55 = 711.9.
0.629T1 + 0.819T2 = 711.9,
Replace T1 with 0.738T2:
0.629*0.738T2 + 0.819T2 = 711.9,
1.28T2 = 711.9, T2 = 556 N.
T1 = 0.738T2 = 0.738*556 = 410 N.
M*g = 72.64 * 9.8 = 711.9 N., Downward = -711.9 N.
T1*Cos(180-39) = -T2*Cos55.
T1 = 0.738T2.
T1*sin(180-39) + T2*sin55 = 711.9.
0.629T1 + 0.819T2 = 711.9,
Replace T1 with 0.738T2:
0.629*0.738T2 + 0.819T2 = 711.9,
1.28T2 = 711.9, T2 = 556 N.
T1 = 0.738T2 = 0.738*556 = 410 N.
There are no AI answers yet. The ability to request AI answers is coming soon!