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Problem 3: A mass of 2 kg stretches a spring by 0.1 m. At time t = 0, the mass is released from a position 0.2 meters below equilibrium with a upward velocity of 1 meters per second. Assume there is a damping force numerically equal to 2 times the velocity of the mass. a) Find the spring constant. b) Set up an IVP modeling the situation. c) Find the equation of motion for the mass on the spring.

Problem 3: A mass of 2 kg stretches a spring by 0.1 m. At time t = 0, the mass is released from a position 0.2 meters below equilibrium with a upward velocity of 1 meters per second. Assume there is a damping force numerically equal to 2 times the velocity of the mass. a) Find the spring constant. b) Set up an IVP modeling the situation. c) Find the equation of motion for the mass on the spring.

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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Spring Mass System. Please help solve Problem 1 and 3. Thank you

Problem 3: A mass of 2 kg stretches a spring by 0.1 m. At time t = 0, the mass is released from a position 0.2 meters below equilibrium with a upward velocity of 1 meters per second. Assume there is a damping force numerically equal to 2 times the velocity of the mass. a) Find the spring constant. b) Set up an IVP modeling the situation. c) Find the equation of motion for the mass on the spring.
Transcribed Image Text:Problem 3: A mass of 2 kg stretches a spring by 0.1 m. At time t = 0, the mass is released from a position 0.2 meters below equilibrium with a upward velocity of 1 meters per second. Assume there is a damping force numerically equal to 2 times the velocity of the mass. a) Find the spring constant. b) Set up an IVP modeling the situation. c) Find the equation of motion for the mass on the spring.
Problem 1: A mass of 2 kg stretches a spring by 0.2 m. At time t = 0, the mass is released from rest from a position 0.1 meter below equilibrium. Assuming no damping forces. a) Find the spring constant. b) Set up an IVP modeling the situation. c) Find the equation of motion for the mass on the spring. (Optional) Problem 2: A mass weighing of 2 lb stretches a spring by 0.2 feet. At time t = 0, the mass is released from rest from a position 1 foot below equilibrium. Assuming no damping forces. a) Find the spring constant. b) Set up an IVP modeling the situation. c) Find the equation of motion for the mass on the spring.
Transcribed Image Text:Problem 1: A mass of 2 kg stretches a spring by 0.2 m. At time t = 0, the mass is released from rest from a position 0.1 meter below equilibrium. Assuming no damping forces. a) Find the spring constant. b) Set up an IVP modeling the situation. c) Find the equation of motion for the mass on the spring. (Optional) Problem 2: A mass weighing of 2 lb stretches a spring by 0.2 feet. At time t = 0, the mass is released from rest from a position 1 foot below equilibrium. Assuming no damping forces. a) Find the spring constant. b) Set up an IVP modeling the situation. c) Find the equation of motion for the mass on the spring.
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