(14%) Problem 4: A 71 kg young woman is being pulled away from a building on fir
ID: 1772620 • Letter: #
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(14%) Problem 4: A 71 kg young woman is being pulled away from a building on fire as shown in the fi Randomized Variables m = 71 kg gure 15 20 ©theexpertta.com 50% Part (a) Calculate the tension in the first of the two ropes (in Newtons) if the young woman is momentarily motionless Grade Summary 0% 100% Potential sin0 cos) cotan0asin acos0 atanacotan sinhO cosh tanhcotanh0 O Degrees O Radians tan( ) Submissions Attempts remaining:.3 (30% per attempt) detailed view 0 END DEL CLEAR Submit Hint I give up! Hints: 30% deduction per hint. Hints remaining: 3 Feedback: 30% deduction per feedback. 50% Part(b) Calculate the tension in the second of the two ropes (in Newtons) if the young woman is momentarily motionless.Explanation / Answer
Horizontal components of T1 = T1 * sin 15
Vertical components of T1 = T1 * cos 15
Horizontal components of T2 = T2 * cos 20
Vertical components of T2 = T2 * sin 20
T1 * sin 15 = T2 * cos 20
T1 = T2 * cos 20 / sin 15 ------(1)
Weight = 71 * 9.8 = 695.8 N
T1 * cos 15 + T2 * sin 20 = 695.8 ------------(2)
Substitute eqn (1) in (2)
[T2 * cos 20/sin 15] * cos 15 + [T2 * sin 20] = 695.8
T2 * [ (cos 20/sin 15 * cos 15 )+ sin 20 ] = 695.8
T2 = 180.77 N
substitute in eqn (1)
T1 = 180.77 * [cos 20/sin 15 ]
T1 = 656 N
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