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governs simple harh ič mótión has the form F=-kX, where k is a constant that determines the strength of the restoring force F. What is the characteristic form of the motion i.e. X=f(t)?

governs simple harh ič mótión has the form F=-kX, where k is a constant that determines the strength of the restoring force F. What is the characteristic form of the motion i.e. X=f(t)?

College Physics
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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Please see Part 4b.
5a. What is a simple harmonic motion (SHM)? The force that governs the simple harmonic motion has the form F=-kX, where k is a constant that determines the strength of the restoring force F. What is the characteristic form of the motion i.e. X=f(t)? Consider a pendulum of length L, mass M. Suppose the pendulum is slightly displaced by a small angle A0 = 1° with the vertical (see figure 5). Show that the motion of the pendulum at such a small angle is simple harmonic. Find the period of the oscillation. Express the period of oscillation as a function of g and L. 5b. 5c. 5d.
Transcribed Image Text:5a. What is a simple harmonic motion (SHM)? The force that governs the simple harmonic motion has the form F=-kX, where k is a constant that determines the strength of the restoring force F. What is the characteristic form of the motion i.e. X=f(t)? Consider a pendulum of length L, mass M. Suppose the pendulum is slightly displaced by a small angle A0 = 1° with the vertical (see figure 5). Show that the motion of the pendulum at such a small angle is simple harmonic. Find the period of the oscillation. Express the period of oscillation as a function of g and L. 5b. 5c. 5d.
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