Show work in ai+ bj form to find the tension in the two cables. This is a static equilibrium problem. The answers are Left Cable: 845 lbs, Right Cable: 1000 lbs.
(THIS IS A TRIGONOMETRY PROBLEM, NOT PHYSICS)
Look at the picture for reference.
http://i2.photobucket.com/albums/y6/VietIronChef/math.jpg
2007-11-22 10:36:20 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
asin25 + bsin40 = 1000
acos25 = bcos40
0.42a +0.64b = 1000
0.9a = 0.77b
42a +64b = 100000
a = 0.86b
46.12b + 54b = 100000
b = 1000
a = 860 (difference is in rounding)
2007-11-22 10:48:25 · answer #1 · answered by norman 7 · 0⤊ 1⤋
Horizontal direction:
T(25)cos25 = T(40)cos40 => T(40) = T(25)cos25/cos40
Vertical direction:
T(25)sin25 + T(40)sin40 = 1000
Combine the two equations,
T(25)sin25 + T(25)sin40cos25/cos40 = 1000
Solve for T(25),
T(25) = 1000/[sin25 + tan40cos25] = 845.24 lbs
2007-11-22 10:50:53 · answer #2 · answered by sahsjing 7 · 0⤊ 0⤋