An acrobat is walking on a tightrope of length L = 20.1 m attached to supports A and B at a distance of 20.0 m apart. The combined weight of the acrobat and his balancing pole is 900 N, and the friction between his shoes and the rope is large enough to prevent him from slipping. Neglecting the weight of the rope and any elastic deformation, determine the deflection (y) and the tension in portion AC and BC of the rope for values of x from 0.5 m to 10 m using 0.5 m increments. a. Determine the maximum deflection (y) in the rope. b. Plot tension of AC and BC vs. x (on the same plot with x on the x-axis). Turn in the plot and the table of x, TAC, and TBC (clearly label each). ут C 20.0 m

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter6: Beams And Cables
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Problem 6.77P: The cable AOB weighs 5.2 N/m. When the horizontal 30-N force is applied to the roller support at B,...
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Need help, please show all work, steps, and units. Do part a and b, for part b show the entire plot and table. Thank you!

An acrobat is walking on a tightrope of length L = 20.1 m attached to supports A
and B at a distance of 20.0 m apart. The combined weight of the acrobat and his balancing
pole is 900 N, and the friction between his shoes and the rope is large enough to prevent him
from slipping. Neglecting the weight of the rope and any elastic deformation, determine the
deflection (y) and the tension in portion AC and BC of the rope for values of x from 0.5 m to
10 m using 0.5 m increments.
a. Determine the maximum deflection (y) in the rope.
b. Plot tension of AC and BC vs. x (on the same plot with x on the x-axis). Turn in the
plot and the table of x, TAC, and TBC (clearly label each).
ут
C
20.0 m
Transcribed Image Text:An acrobat is walking on a tightrope of length L = 20.1 m attached to supports A and B at a distance of 20.0 m apart. The combined weight of the acrobat and his balancing pole is 900 N, and the friction between his shoes and the rope is large enough to prevent him from slipping. Neglecting the weight of the rope and any elastic deformation, determine the deflection (y) and the tension in portion AC and BC of the rope for values of x from 0.5 m to 10 m using 0.5 m increments. a. Determine the maximum deflection (y) in the rope. b. Plot tension of AC and BC vs. x (on the same plot with x on the x-axis). Turn in the plot and the table of x, TAC, and TBC (clearly label each). ут C 20.0 m
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