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Suppose we have a pendulum clock that uses a slightly damped pendulum to keep time (that is, b is positive but b - 0). The clock "ticks" each time the pendulum arm crosses e = 0. If the mass of the pendulum bob is increased, does the clock run fast or slow?

Suppose we have a pendulum clock that uses a slightly damped pendulum to keep time (that is, b is positive but b - 0). The clock "ticks" each time the pendulum arm crosses e = 0. If the mass of the pendulum bob is increased, does the clock run fast or slow?

Advanced Engineering Mathematics
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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In Exercises 4-11, we consider the damped pendulum system de dt ap dt b sine -v, 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?).
Transcribed Image Text:In Exercises 4-11, we consider the damped pendulum system de dt ap dt b sine -v, 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?).
5. Suppose we have a pendulum clock that uses a slightly damped pendulum to keep time (that is, b is positive but b z 0). The clock "ticks" each time the pendulum arm crosses e = 0. If the mass of the pendulum bob is increased, does the clock run fast or slow?
Transcribed Image Text:5. Suppose we have a pendulum clock that uses a slightly damped pendulum to keep time (that is, b is positive but b z 0). The clock "ticks" each time the pendulum arm crosses e = 0. If the mass of the pendulum bob is increased, does the clock run fast or slow?
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