A simple pendulum is set into motion at two different times with different initial conditions. The first time: the bob is in its equilibrium position and is given an initial velocity + 2 m/s. The maximum height reached by the bob is h1,max and the period of motion is T1. The second time: the bob is in its equilibrium position and is given an initial velocity + 4 m/s. The maximum height reached by the bob is h2,max and the period of motion is T2. Assume that the motion is simple harmonic, which of the following is true?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A simple pendulum is set into motion at two
different times with different initial
conditions. The first time: the bob is in its
equilibrium position and is given an initial
velocity + 2 m/s. The maximum height
reached by the bob is h1,max and the period
of motion is T1. The second time: the bob is
in its equilibrium position and is given an
initial velocity + 4 m/s. The maximum height
reached by the bob is h2,max and the
period of motion is T2. Assume that the
motion is simple harmonic, which of the
following is true?
h2,.max = 4h1,max and T, = 2T,
Then we have:
h2.max = 9h1,max and T2 = 3T,
Transcribed Image Text:A simple pendulum is set into motion at two different times with different initial conditions. The first time: the bob is in its equilibrium position and is given an initial velocity + 2 m/s. The maximum height reached by the bob is h1,max and the period of motion is T1. The second time: the bob is in its equilibrium position and is given an initial velocity + 4 m/s. The maximum height reached by the bob is h2,max and the period of motion is T2. Assume that the motion is simple harmonic, which of the following is true? h2,.max = 4h1,max and T, = 2T, Then we have: h2.max = 9h1,max and T2 = 3T,
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