A 4 – foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to /2 times the instantaneous velocity. Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 5 ft/s. Find the time at which the mass attains its extreme displacement from the equilibrium position. What is the position of the mass at this instant?

A 4 – foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to /2 times the instantaneous velocity. Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 5 ft/s. Find the time at which the mass attains its extreme displacement from the equilibrium position. What is the position of the mass at this instant?

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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Question

A 4 – foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium
through which the mass moves offers a damping force numerically equal to v2 times the
instantaneous velocity. Find the equation of motion if the mass is initially released from the
equilibrium position with a downward velocity of 5 ft/s. Find the time at which the mass attains its
extreme displacement from the equilibrium position. What is the position of the mass at this
instant?

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