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1 the 8 A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to instantaneous velocity. Find the equation f motion x(t) if the mass is driven by an external force equal to f(t) = 10 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.) 61√47 x(t) = e e-2²:(( - ) cos( √471) - 6147 sin(71)+(cos(3r) + sin(3r)) Need Help? Read It Watch It ft

1 the 8 A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to instantaneous velocity. Find the equation f motion x(t) if the mass is driven by an external force equal to f(t) = 10 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.) 61√47 x(t) = e e-2²:(( - ) cos( √471) - 6147 sin(71)+(cos(3r) + sin(3r)) Need Help? Read It Watch It ft

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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the A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to t instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 10 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.) xit) - e-> (( - ² ) cos( VTT 1) 62 VTT sin ( ✓T :)) | 2º (cos(3r) | sin(3r)) √47 61√47 √47 = + + 141 2 3 Need Help? Read It Watch It X ft
Transcribed Image Text:the A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to t instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 10 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.) xit) - e-> (( - ² ) cos( VTT 1) 62 VTT sin ( ✓T :)) | 2º (cos(3r) | sin(3r)) √47 61√47 √47 = + + 141 2 3 Need Help? Read It Watch It X ft
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