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). 20.0 m
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). 20.0 m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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).
20.0 m
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