Problem 4. [based on $3.7 #3] A mass of 100g stretches a spring 5cm. If the mass is set in mortion from its equilibrium position with a downward velocity of 10cm/s, and if there is no damping, (a) Model this situation as a 2nd order initial value problem. (b) Solve it to determine the position u(t) of the mass at any time t. (c) Plot u(t) as a function of time (labelling your graph as appropriate). (d) Determine the frequency, period, amplitude, and phase of motion. (e) When does the mass first return to its equilibrium position?
Problem 4. [based on $3.7 #3] A mass of 100g stretches a spring 5cm. If the mass is set in mortion from its equilibrium position with a downward velocity of 10cm/s, and if there is no damping, (a) Model this situation as a 2nd order initial value problem. (b) Solve it to determine the position u(t) of the mass at any time t. (c) Plot u(t) as a function of time (labelling your graph as appropriate). (d) Determine the frequency, period, amplitude, and phase of motion. (e) When does the mass first return to its equilibrium position?
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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