(8%) Problem 6: A 79 kg woman is being hauled away from a fiery building as show
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Question
(8%) Problem 6: A 79 kg woman is being hauled away from a fiery building as shown in the figure. Randomized Variables m=79 kg Ta , 20 Otheexpertta.com 50% Part (a) Calculate the tension in the first of the two ropes (in Newtons) if the woman is momentarily motionless. Grade Summary Deductions 100% Potential 0% sinO cosO cotanOasin acos0 atanO acotanO sinhO Attempts remaining: 12 (5% per attempt) detailed view 1 2 3 0 DegreesRadians VO Submit Hint I give up Hints: S-deduction per hint. Hints remaining:- Feedback: 2% deduction per feedback. 50% Part (b) Calculate the tension in the second of the two ropes (in Newtons) if the woman is momentarily motionless.Explanation / Answer
here,
mass , m = 79 kg
a)
let the tension in the ropes be T1 and T2
equatig the forces vertically
T1 * cos(15) + T2 * sin(20) = w
T1 * cos(15) + T2 * sin(20) = 79 * 9.8 ....(1)
and
equating the foces horizontally
T1 * sin(15) - T2 * cos(20) = 0 ....(2)
from (1) and (2)
T1 =730.3 N
T2 = 201.1 N
the tension in the first rope is 730.3 N
b)
the tension in the seccond rope is 201.1 N
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