A bungee jumper weighing 160 lb ties oneend of an elastic rope with a length of 200ft and stiffness of 10 lb/in in to a bridge andthe other end to himself. If the man jumpsoff the bridge and assuming that the bridgeis rigid, determine the natural frequency ofvibration. *O 0.204 rad/sO 0.301 rad/sO 0.157 rad/sO 0.571 rad/s

Given: Weight =160 lb Stiffness= 10 lb/in To determine: Natural frequency

Answered: determine the natural frequency of

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Mechanical Engineering

determine the natural frequency of

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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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

A bungee jumper weighing 160 lb ties one
end of an elastic rope with a length of 200
ft and stiffness of 10 lb/in in to a bridge and
the other end to himself. If the man jumps
off the bridge and assuming that the bridge
is rigid, determine the natural frequency of
vibration. *
O 0.204 rad/s
O 0.301 rad/s
O 0.157 rad/s
O 0.571 rad/s

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