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2. A 0.2kg weight stretches a spring 0.1m. The system is submerged in oil with damping coefficient 73. The weight is then lowered by 0.2m and released with a downward velocity of 1m/s. There is no external force. (a) Find the spring coefficient k. (b) Write down but do not solve the initial value problem corresponding to this situation. (c) Is this system underdamped, critically damped or overdamped? Show the associated calculation. (d) Sketch a reasonable graph of the solution.

2. A 0.2kg weight stretches a spring 0.1m. The system is submerged in oil with damping coefficient 73. The weight is then lowered by 0.2m and released with a downward velocity of 1m/s. There is no external force. (a) Find the spring coefficient k. (b) Write down but do not solve the initial value problem corresponding to this situation. (c) Is this system underdamped, critically damped or overdamped? Show the associated calculation. (d) Sketch a reasonable graph of the solution.

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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2. A 0.2kg weight stretches a spring 0.1m. The system is submerged in oil with damping coefficient Y = 3. The weight is then lowered by 0.2m and released with a downward velocity of 1m/s. There is no external force. (a) Find the spring coefficient k. (b) Write down but do not solve the initial value problem corresponding to this situation. (c) Is this system underdamped, critically damped or overdamped? Show the associated calculation. (d) Sketch a reasonable graph of the solution.
Transcribed Image Text:2. A 0.2kg weight stretches a spring 0.1m. The system is submerged in oil with damping coefficient Y = 3. The weight is then lowered by 0.2m and released with a downward velocity of 1m/s. There is no external force. (a) Find the spring coefficient k. (b) Write down but do not solve the initial value problem corresponding to this situation. (c) Is this system underdamped, critically damped or overdamped? Show the associated calculation. (d) Sketch a reasonable graph of the solution.
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