Suppose that a simple pendulum with a length of L = 1meter is given an initial
Chapter 9, Problem 42(choose chapter or problem)
Suppose that a simple pendulum with a length of \(L=1\) meter is given an initial displacement of \(\theta_{0}=5^{\circ}\) from the vertical.
(a) Approximate the period \(T\) of the pendulum using Formula (9) for the first-order model of \(T\). [Note: Take \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\) ]
(b) Approximate the period of the pendulum using Formula (10) for the second-order model.
(c) Use the numerical integration capability of a CAS to approximate the period of the pendulum from Formula (7), and compare it to the values obtained in parts (a) and (b).
Equation Transcription:
Text Transcription:
L=1
Theta_0 = 5^o
g=9.8m/s^2
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