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A mass weighing 500 g stretches a spring 10 cm. The mass is pushed upward, contracting the spring a distance of 5 cm, and then set in motion with a downward velocity of 4 m/s. Assume there is no damping. a) Set up the initial value problem (differential equation). b) Solve the equation to find the position of the mass y at any time t. c) Find the frequency, period, amplitude and phase of the oscillation.

A mass weighing 500 g stretches a spring 10 cm. The mass is pushed upward, contracting the spring a distance of 5 cm, and then set in motion with a downward velocity of 4 m/s. Assume there is no damping. a) Set up the initial value problem (differential equation). b) Solve the equation to find the position of the mass y at any time t. c) Find the frequency, period, amplitude and phase of the oscillation.

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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A mass weighing 500 g stretches a spring 10 cm. The mass is pushed upward, contracting the spring a distance of 5 cm, and then set in motion with a downward velocity of 4 m/s. Assume there is no damping. a) Set up the initial value problem (differential equation). b) Solve the equation to find the position of the mass y at any time t. c) Find the frequency, period, amplitude and phase of the oscillation.
Transcribed Image Text:A mass weighing 500 g stretches a spring 10 cm. The mass is pushed upward, contracting the spring a distance of 5 cm, and then set in motion with a downward velocity of 4 m/s. Assume there is no damping. a) Set up the initial value problem (differential equation). b) Solve the equation to find the position of the mass y at any time t. c) Find the frequency, period, amplitude and phase of the oscillation.
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