Please show the proper steps to solve this problem. Also, be sure to circle or b
ID: 1659757 • Letter: P
Question
Please show the proper steps to solve this problem. Also, be sure to circle or box your final answers. Thank you.
Item 12 Part A Determine the distance r that the rope must sag if it is to be within its recommended safety range and Christian's mass is 72.0 kg Express your answer using two significant figures. Christian is making a Tyrolean traverse as shown in the figure. That is, he traverses a chasm by stringing a rope between a tree on one side of the chasm and a tree on the opposite side, 22 m away. The rope must sag sufficiently so it won't break Assume the rope can provide a tension force of up to 27 kN before breaking, and use a safety factor" of 10 (that is, the rope should only be required to undergo a tension force of 2.7 kN) at the center of the Tyrolean traverse Im Submit My Answers Give Un Incorrect; Try Again; 4 attempts remaining Part B If the Tyrolean traverse is incorrectly set up so that the rope sags by only one-fourth the distance found in part A, determine the tension force in the rope. (Figure 1) Figure 1 of1 Express your answer using two significant figures. Submit My Answers Give UpExplanation / Answer
PartA) Balancing forces in vertical,
2 T sin theta = mg
2*2700* sin theta = 72*9.8
sin theta = 72*9.8/(2*2700) = 0.1307
tan theta = tan ( arcsin 0.1307)
x/11 = 0.1318
x = 11*0.1318 =1.45
= 1.4 m in two sig fig
Part b) tan theta in this case =0.1318/4
sin theta = sin (arc tan (0.1318/4))
= 0.03293
2 T sin theta = mg
T = mg/ ( 2 sin theta)
= 72*9.8/ (2* 0.03293)
= 10714 N
= 1.1*10^4 N in two sig fig