**Problem 2.27: Vibratory Motion of Bungee Jumper**A bungee jumper weighing 160 lb ties one end of an elastic rope of length 200 ft and stiffness 10 lb/in to a bridge and the other end to himself and jumps from the bridge. Assuming the bridge to be rigid, determine the vibratory motion of the jumper about his static equilibrium position.**Diagram Explanation:**The diagram illustrates a bungee jumper attached to an elastic rope descending from a bridge. The unstretched length of the rope is marked as 200 ft. The bridge is depicted as rigid with the jumper suspended below it. The scenario highlights the concept of vibratory motion that occurs when the jumper rebounds after the initial fall, oscillating around the static equilibrium point, where the forces of gravity and tension in the elastic rope balance each other.

Given: bungee jumper weight = 160 lb L = 200 ft Stiffness (k) = 10 lb/in To find: Vibratory motion of the jumper about his static equilibrium position

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Problem 2.27: Vibratory Motion of Bungee Jumper A bungee jumper weighing 160 lb ties one end of an elastic rope of length 200 ft and stiffness 10 lb/in to a bridge and the other end to himself and jumps from the bridge. Assuming the bridge to be rigid, determine the vibratory motion of the jumper about his static equilibrium position.

Problem 2.27: Vibratory Motion of Bungee Jumper A bungee jumper weighing 160 lb ties one end of an elastic rope of length 200 ft and stiffness 10 lb/in to a bridge and the other end to himself and jumps from the bridge. Assuming the bridge to be rigid, determine the vibratory motion of the jumper about his static equilibrium position.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

**Problem 2.27: Vibratory Motion of Bungee Jumper**

A bungee jumper weighing 160 lb ties one end of an elastic rope of length 200 ft and stiffness 10 lb/in to a bridge and the other end to himself and jumps from the bridge. Assuming the bridge to be rigid, determine the vibratory motion of the jumper about his static equilibrium position.

**Diagram Explanation:**

The diagram illustrates a bungee jumper attached to an elastic rope descending from a bridge. The unstretched length of the rope is marked as 200 ft. The bridge is depicted as rigid with the jumper suspended below it. The scenario highlights the concept of vibratory motion that occurs when the jumper rebounds after the initial fall, oscillating around the static equilibrium point, where the forces of gravity and tension in the elastic rope balance each other.

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