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 8.5.12.) The mass is pulled down a small ver- tical distance from equilibrium and released. -6a- 5á mg Figure 8.5.12: The static equilibrium position. Show that, for small oscillations, the period of the re- sulting motion is 20л T = 7

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 8.5.12.) The mass is pulled down a small ver- tical distance from equilibrium and released. -6a- 5á mg Figure 8.5.12: The static equilibrium position. Show that, for small oscillations, the period of the re- sulting motion is 20л T = 7

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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 8.5.12.) The mass is pulled down a small ver-
tical distance from equilibrium and released.
-6a-
5á
mg
Figure 8.5.12: The static equilibrium position.
Show that, for small oscillations, the period of the re-
sulting motion is
20л
T =
7

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