Concept explainers
Pendulum Consider a pendulum of length L that swings by the force of gravity only.
For small values, the motion of the pendulum can be approximated by the differential equation
where g is the acceleration due to gravity.
Find the general solution of the differential equation and show that it can be written in the form
Find the particular solution for a pendulum of length 0.25 meter when the initial conditions are
Determine the period of the pendulum.
Determine the maximum value of
How much time from t = 0 does it take for
What is the angular velocity
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Chapter 16 Solutions
Multivariable Calculus
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