A massive uniform rope of total mass m and length L is attached to two trees as shown in the figure above. The connection point for the rope is the same height on each tree, each rope makes an given angle with each tree as shown. Part (a): Find the tension at either end of the rope. Part (b): Find the tension at the center of the rope.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter5: Newton's Laws Of Motion
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Problem 4: Massive Rope Hung Between Two Trees
3
0
Ө
A massive uniform rope of total mass m and length L is attached to two trees as shown in the
figure above. The connection point for the rope is the same height on each tree, each rope makes
an given angle with each tree as shown.
Part (a): Find the tension at either end of the rope.
Part (b): Find the tension at the center of the rope.
Hint: Perhaps this looks like a problem where detailed calculus is required. It's not. If you are
doing the problem correctly, each part require just a few lines of simple mathematical work.
Transcribed Image Text:Problem 4: Massive Rope Hung Between Two Trees 3 0 Ө A massive uniform rope of total mass m and length L is attached to two trees as shown in the figure above. The connection point for the rope is the same height on each tree, each rope makes an given angle with each tree as shown. Part (a): Find the tension at either end of the rope. Part (b): Find the tension at the center of the rope. Hint: Perhaps this looks like a problem where detailed calculus is required. It's not. If you are doing the problem correctly, each part require just a few lines of simple mathematical work.
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