A spring attached to the ceiling is stretched 1,225 meters by a one kilogram mass. If the mass is set into motion in a medium that imparts a damping force numerically equal 4 times the velocity, the correct differential equation for the position x(t), of the mass at a function of time t, is d +4 dr 4t + 4x = 0 dt? + 4 +8x = 0 O d²r dt2 dæ O d²a dt? dx +4 +2x = 0 + 4 dx += 0 dt?
A spring attached to the ceiling is stretched 1,225 meters by a one kilogram mass. If the mass is set into motion in a medium that imparts a damping force numerically equal 4 times the velocity, the correct differential equation for the position x(t), of the mass at a function of time t, is d +4 dr 4t + 4x = 0 dt? + 4 +8x = 0 O d²r dt2 dæ O d²a dt? dx +4 +2x = 0 + 4 dx += 0 dt?
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:A spring attached to the ceiling is stretched 1,225 meters by a one kilogram mass. If
the mass is set into motion in a medium that imparts a damping force numerically
equal 4 times the velocity , the correct differential equation for the position x(t), of
the mass at a function of time t, is
O d²x
dt2
+44 +4x = 0
d² x
dt?
+4d +8x
4t
dt?
+44 +2x = 0
+2x%3D0
4t
Dd.
dt
+44 + = 0
4.
d +4 +32x = 0
+4dr
4t
dt2
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