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A 3 kg mass is attached to the end of a spring with spring constant 48 N/m. There is a damper which is tuned so that the damping is exactly critical. The mass is pulled 3 meters from rest position and let go (initial velocity is zero). Find the position of the mass as a function of time t: x = help (formulas) The mass will go towards the rest position, it will go past the rest position, and then it will slowly go back towards the rest position. At what time does it hit the rest position: seconds help (numbers) Book: Section 2.4 of Notes on Diffy Qs

A 3 kg mass is attached to the end of a spring with spring constant 48 N/m. There is a damper which is tuned so that the damping is exactly critical. The mass is pulled 3 meters from rest position and let go (initial velocity is zero). Find the position of the mass as a function of time t: x = help (formulas) The mass will go towards the rest position, it will go past the rest position, and then it will slowly go back towards the rest position. At what time does it hit the rest position: seconds help (numbers) Book: Section 2.4 of Notes on Diffy Qs

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A 3 kg mass is attached to the end of a spring with spring constant 48 N/m. There is a damper which is tuned so that the damping is exactly critical. The mass is pulled 3 meters from rest position and let go (initial velocity is zero). Find the position of the mass as a function of time t: x = help (formulas) The mass will go towards the rest position, it will go past the rest position, and then it will slowly go back towards the rest position. At what time does it hit the rest position: seconds help (numbers) Book: Section 2.4 of Notes on Diffy Qs
Transcribed Image Text:A 3 kg mass is attached to the end of a spring with spring constant 48 N/m. There is a damper which is tuned so that the damping is exactly critical. The mass is pulled 3 meters from rest position and let go (initial velocity is zero). Find the position of the mass as a function of time t: x = help (formulas) The mass will go towards the rest position, it will go past the rest position, and then it will slowly go back towards the rest position. At what time does it hit the rest position: seconds help (numbers) Book: Section 2.4 of Notes on Diffy Qs
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