A mass weighing 16 pounds is attached to a spring, stretching it 2 feet. A damping mechanism provides a resistance numerically equal to b times the instantaneous velocity. The mass is pulled down 1 foot below equilibrium and released from rest. a. Find the equations of motion for b = 3, b = 4, b = 5. b. Determine if each system is underdamped, critically damped, or overdamped.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
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A mass weighing 16 pounds is attached to a spring, stretching it 2 feet. A damping
mechanism provides a resistance numerically equal to b times the instantaneous velocity.
The mass is pulled down 1 foot below equilibrium and released from rest.
a. Find the equations of motion for b = 3, b = 4, b = 5.
b. Determine if each system is underdamped, critically damped, or overdamped.
Transcribed Image Text:A mass weighing 16 pounds is attached to a spring, stretching it 2 feet. A damping mechanism provides a resistance numerically equal to b times the instantaneous velocity. The mass is pulled down 1 foot below equilibrium and released from rest. a. Find the equations of motion for b = 3, b = 4, b = 5. b. Determine if each system is underdamped, critically damped, or overdamped.
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