. The motion of a simple pendulum of length / is de- scribed by the initial value problem d²0 1- dt² e'(0) = 0, 0 (0) = 00 where is the angle the pendulum makes with the vertical, 0o is the initial angle the pendulum makes with the vertical, and g is the acceleration of grav- ity. Solve this initial value problem. You may leave your answer in terms of an integral. + g sin 0 = 0;
. The motion of a simple pendulum of length / is de- scribed by the initial value problem d²0 1- dt² e'(0) = 0, 0 (0) = 00 where is the angle the pendulum makes with the vertical, 0o is the initial angle the pendulum makes with the vertical, and g is the acceleration of grav- ity. Solve this initial value problem. You may leave your answer in terms of an integral. + g sin 0 = 0;
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:. The motion of a simple pendulum of length / is de-
scribed by the initial value problem
d²0
1-
dt²
e'(0) = 0, 0 (0) = 00
where is the angle the pendulum makes with the
vertical,00 is the initial angle the pendulum makes
with the vertical, and g is the acceleration of grav-
ity. Solve this initial value problem. You may leave
your answer in terms of an integral.
+ g sin 0 = 0;
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