In Exercises 4-11, we consider the damped pendulum system de = v dt dv b sine dt m where b is the damping coefficient, m is the mass of the bob, I is the length of the arm, and g is the acceleration of gravity (g 9.8 m/s?). 4. What relationship must hold between the parameters b, m, and / for the period of a small swing back and forth of the damped pendulum to be one second?
In Exercises 4-11, we consider the damped pendulum system de = v dt dv b sine dt m where b is the damping coefficient, m is the mass of the bob, I is the length of the arm, and g is the acceleration of gravity (g 9.8 m/s?). 4. What relationship must hold between the parameters b, m, and / for the period of a small swing back and forth of the damped pendulum to be one second?
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:In Exercises 4-11, we consider the damped pendulum system
de
= v
dt
dv
b
sin6
dt
m
where b is the damping coefficient, m is the mass of the bob, I is the length of the arm,
and g is the acceleration of gravity (g 9.8 m/s²).
4. What relationship must hold between the parameters b, m, and / for the period of a
small swing back and forth of the damped pendulum to be one second?
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