An object of mass m is attached to the midpoint of a light elastic string of natural
Chapter 8, Problem 22(choose chapter or 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 equilibrium, the length of the stretched string is 10a. (See Figure 8.5.12.) The mass is pulled down a small vertical distance from equilibrium and released. 5a 6a mg Figure 8.5.12: The static equilibrium position. Show that, for small oscillations, the period of the resulting motion is T = 20 7 a g .
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