A mass weighing 2 pounds stretches a spring 6 inches. At time t=0, the mass is released from rest 8 inches below equilibrium position. A) Set up (don't solve yet) the differential equation of motion B) Set up initial conditions. C) Find the equation of motion as well as amplitude and period of the free vibration.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
Question

A mass weighing 2 pounds stretches a spring 6 inches. At time t=0, the mass is released from rest 8 inches below equilibrium position.

A) Set up (don't solve yet) the differential equation of motion

B) Set up initial conditions.

C) Find the equation of motion as well as amplitude and period of the free vibration.

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