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An object of mass m is attach a light elastic string of natura ends of the string are fixed at th

An object of mass m is attach a light elastic string of natura ends of the string are fixed at th

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Differential equation problem

An object of mass m is attached to the midpoint of a light elastic string of natural length 6a. When the ends of the string are fixed at the same level a distance 6a apart and the mass is allowed to hang in equilib- rium, the length of the stretched string is 10a. (See Figure tical distance from equilibrium and released. The mass is pulled down a small ver- -ба 5a mg Figure The static equilibrium position. Show that, for small oscillations, the period of the re- sulting motion is 20n T = 7. V g
Transcribed Image Text:An object of mass m is attached to the midpoint of a light elastic string of natural length 6a. When the ends of the string are fixed at the same level a distance 6a apart and the mass is allowed to hang in equilib- rium, the length of the stretched string is 10a. (See Figure tical distance from equilibrium and released. The mass is pulled down a small ver- -ба 5a mg Figure The static equilibrium position. Show that, for small oscillations, the period of the re- sulting motion is 20n T = 7. V g
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