a) Let's first approach the question qualitatively. Do you think that the period will increase, decrease or remain unchanged when the small angle approximation no longer applies? Think about times you've been on a swing. b) What angles are considered small?
a) Let's first approach the question qualitatively. Do you think that the period will increase, decrease or remain unchanged when the small angle approximation no longer applies? Think about times you've been on a swing. b) What angles are considered small?
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Transcribed Image Text:This has the remarkable and somewhat counter-intuitive property that the period does
not depend on the amplitude of swing (or in other words, the initial conditions). This was
first noticed by Galileo watching the swinging of chandeliers in the cathedral of Saint
Marco in Venice during a particularly boring sermon. So, our problem is what can we
say about the period of swing if the amplitude is not small?
a) Let's first approach the question qualitatively. Do you think that the period will
increase, decrease or remain unchanged when the small angle approximation no
longer applies? Think about times you've been on a swing.
b) What angles are considered small?
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