Conservation of Energy can be used to show that when a mass m oscillates at the end of a spring with spring constant k, the period of oscillation is where E is the total energy of the mass Show that this is an improper integral with value T 2 m k T 4m 2E k dx 2E kx...

Now let Therefore The integrand is infinite ...

Conservation of Energy can be used to show that when a mass m oscillates at the end

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Conservation of Energy can be used to show that when a mass m oscillates at the end of a spring with spring constant k, the period of oscillation is

T = 4m 2E/k dx 2E-kx

where E is the total energy of the mass. Show that this is an improper integral with value T = 2π √m/k.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Conservation of Energy can be used to show that when a mass m oscillates at the end

Question:

T = 4√m √2E/k dx √2E-kx²

Step by Step Answer:

Now let Therefore The integrand is infinite ...View the full answer

Calculus

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