A 1-kilogram mass attached to a spring whose constant is 18 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the initial conditions and equations of motion if the following is true. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(0) = x'(0) = x(t) = m m/s x(t) = m (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s x(0) = x'(0) = m m/s m
A 1-kilogram mass attached to a spring whose constant is 18 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the initial conditions and equations of motion if the following is true. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(0) = x'(0) = x(t) = m m/s x(t) = m (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s x(0) = x'(0) = m m/s m
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
A 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the initial conditions and equations of motion if the following is true.
(a)
the mass is initially released from rest from a point 1 meter below the equilibrium position
x(0)
=
m
x ′(0)
=
m/s
x(t)
=
m
(b)
the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s
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