Q4. Undamped torsional vibrations (rotations back and forth) of a wheel attached to an elastic thin ro or wire are governed by the equation 100" + K0 = 0 where is the angle measured from the state of equilibrium. Find the angle as function of time i K/Io = 13.69 sec-2, initial angle 30° (0.5235 rad) and initial angular velocity 20° sec-1 (0.349 rad/sec) I -Fo
Q4. Undamped torsional vibrations (rotations back and forth) of a wheel attached to an elastic thin ro or wire are governed by the equation 100" + K0 = 0 where is the angle measured from the state of equilibrium. Find the angle as function of time i K/Io = 13.69 sec-2, initial angle 30° (0.5235 rad) and initial angular velocity 20° sec-1 (0.349 rad/sec) I -Fo
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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Transcribed Image Text:Q4. Undamped torsional vibrations (rotations back and forth) of a wheel attached to an elastic thin ro
or wire are governed by the equation
Io0" + K0 = 0
where is the angle measured from the state of equilibrium. Find the angle as function of time i
K/Io = 13.69 sec¯², initial angle 30° (0.5235 rad) and initial angular velocity 20° sec¯¹ (0.349 rad/sec)
I
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