The cart in the figure below weighs 64 pounds and is attached to the wall by a spring with spring constant k = 32 lb/ft. The cart is pulled 3 inches in the direction away from the wall and released with no initial velocity. Simultaneously a periodic external force Fe = f (t) = 16 cos 4t is applied to the cart. Assuming that there is no air resistance, find the position x = x(t) of the cart at time t. Note particularly that |x(t)| has arbitrarily large values as t → o, a phenomenon known as pure resonance and caused by the fact that the forcing function has the same period as the free vibrations of the unforced system. M о
The cart in the figure below weighs 64 pounds and is attached to the wall by a spring with spring constant k = 32 lb/ft. The cart is pulled 3 inches in the direction away from the wall and released with no initial velocity. Simultaneously a periodic external force Fe = f (t) = 16 cos 4t is applied to the cart. Assuming that there is no air resistance, find the position x = x(t) of the cart at time t. Note particularly that |x(t)| has arbitrarily large values as t → o, a phenomenon known as pure resonance and caused by the fact that the forcing function has the same period as the free vibrations of the unforced system. M о
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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