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. 1. Determine the maximum deflection (y) in the rope. 2. 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). A C 20.0 m B

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter6: Beams And Cables
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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.
1. Determine the maximum deflection (y) in
the rope.
2. 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).
A
C
20.0 m
B
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. 1. Determine the maximum deflection (y) in the rope. 2. 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). A C 20.0 m B
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