a) Calculate to 4 sig.figs. the tension in the rope if the rope makes an angle o
ID: 1283610 • Letter: A
Question
a) Calculate to 4 sig.figs. the tension in the rope if the rope makes an angle of ? = 41 with respect to the horizontal.
b)What is the force of friction between her foot and the rock at point A? Include the appropriate sign in your answer to indicate the direction according to the usual sign conventions. Make sure to use 4 sig.figs for the tension calculated above.
c) What is the minimum coefficient of static friction between her foot and the rock to prevent her from slipping?
A 48.0 kg mountain climber is rappelling down a steep mountain face. Her foot makes contact with the rock at point A. Her rope attaches to her harness at point B, which is located at x1 = 1.00 m and y1 = 0.25 m relative to point A. Her centre of mass is found at point C, which has an x coordinate x2 = 1.20 m relative to point A. mountain climber a) Calculate to 4 sig.figs. the tension in the rope if the rope makes an angle of ? = 41½ with respect to the horizontal. b)What is the force of friction between her foot and the rock at point A? Include the appropriate sign in your answer to indicate the direction according to the usual sign conventions. Make sure to use 4 sig.figs for the tension calculated above. c) What is the minimum coefficient of static friction between her foot and the rock to prevent her from slipping?Explanation / Answer
taking torque about A
x1Tsin41=wx2
T=wx2/(x1sin41)=861.2N
Taking torque about B=
fn*0.25+fc*1=0.2W
fn=Tcos41=650N
650*0.25+fc*1=0.2*9.81*48
fc=-68.32N(in up direction)
c. minimun u=fc/fn=68.32/650=0.105
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.