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17) A mass weighing 32-lbs stretches a spring 6.4 ft. Suppose that the mass is displaced an additional 1 ft in the positive direction and then released. The mass is in a medium that exerts a viscous resistance of 40-lbs when the mass has a velocity of 10 ft/sec. a) b) Under the assumptions discussed in class and in your book, formulate the initial value problem that governs the motion of the mass. (That is to set up the differential equation and state the initial values) What is its position at time t = = second?

17) A mass weighing 32-lbs stretches a spring 6.4 ft. Suppose that the mass is displaced an additional 1 ft in the positive direction and then released. The mass is in a medium that exerts a viscous resistance of 40-lbs when the mass has a velocity of 10 ft/sec. a) b) Under the assumptions discussed in class and in your book, formulate the initial value problem that governs the motion of the mass. (That is to set up the differential equation and state the initial values) What is its position at time t = = second?

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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17) A mass weighing 32-lbs stretches a spring 6.4 ft. Suppose that the mass is displaced an additional 1 ft in the positive direction and then released. The mass is in a medium that exerts a viscous resistance of 40-lbs when the mass has a velocity of 10 ft/sec. a) b) Under the assumptions discussed in class and in your book, formulate the initial value problem that governs the motion of the mass. (That is to set up the differential equation and state the initial values) What is its position at time t = second?
Transcribed Image Text:17) A mass weighing 32-lbs stretches a spring 6.4 ft. Suppose that the mass is displaced an additional 1 ft in the positive direction and then released. The mass is in a medium that exerts a viscous resistance of 40-lbs when the mass has a velocity of 10 ft/sec. a) b) Under the assumptions discussed in class and in your book, formulate the initial value problem that governs the motion of the mass. (That is to set up the differential equation and state the initial values) What is its position at time t = second?
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