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A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to - the instantaneous velocity. Find the equation of motion if the mass is driven by an external force equal to f(t)(= 10 cos (3t).

A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to - the instantaneous velocity. Find the equation of motion if the mass is driven by an external force equal to f(t)(= 10 cos (3t).

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 16 pounds stretches a spring \( \frac{8}{3} \) feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to \(\frac{1}{2}\) the instantaneous velocity. Find the equation of motion if the mass is driven by an external force equal to \( f(t) (= 10 \cos (3t)) \).
Transcribed Image Text:A mass weighing 16 pounds stretches a spring \( \frac{8}{3} \) feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to \(\frac{1}{2}\) the instantaneous velocity. Find the equation of motion if the mass is driven by an external force equal to \( f(t) (= 10 \cos (3t)) \).
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