In an experiment, a 5-kg mass is suspended from a spring. The displacement of the spring-mass equilibrium from the spring equilibrium is measured to be 75 cm. The mass is then displaced 36 cm upward from its spring-mass equilibrium and then given a sharp downward tap, imparting an instantaneous downward velocity of 0.45 m/s. Set up (but do not solve) the initial value problem that models this experiment. Assume no damping is present.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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In an experiment, a 5-kg mass is suspended from a spring.
The displacement of the spring-mass equilibrium from the
spring equilibrium is measured to be 75 cm. The mass is
then displaced 36 cm upward from its spring-mass equilibrium and then given a sharp downward tap, imparting
an instantaneous downward velocity of 0.45 m/s. Set up
(but do not solve) the initial value problem that models
this experiment. Assume no damping is present.

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