CP An interesting, though highly impractical example of
Chapter 14, Problem 90P(choose chapter or problem)
CP ?An interesting, though highly impractical example of oscillation is the motion of an object dropped down a hole that extends from one side of the earth, through its center, to the other side. With the assumption (not realistic) that the earth is a sphere of uniform density, prove that the motion is simple harmonic and find the period. [?Note: ?The gravitational force on the object as a function of the object’s distance ?r ?from the center of the earth was derived in Example 13.10 (Section 13.6). The motion is simple harmonic if the acceleration and the displacement from equilibrium ?x ?are related by Eq. (14.8), and the period is then T = 2?/?.]
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