After a mass weighing 10 pounds is attached to a 5-foot spring, the spring measures 7 feet. This mass is removed and replaced with another mass that weighs 8 pounds. The entire system is placed in a medium that offers a damping force numerically equal to the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from a point 1 2 foot below the equilibrium position with a downward velocity of 1 ft/s. (b) Express the equation of motion in the form given in (23). (c) Find the times at which the mass passes through the equilibrium position heading downward. (d) Graph the equation of motion.
After a mass weighing 10 pounds is attached to a 5-foot spring, the spring measures 7 feet. This mass is removed and replaced with another mass that weighs 8 pounds. The entire system is placed in a medium that offers a damping force numerically equal to the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from a point 1 2 foot below the equilibrium position with a downward velocity of 1 ft/s. (b) Express the equation of motion in the form given in (23). (c) Find the times at which the mass passes through the equilibrium position heading downward. (d) Graph the equation of motion.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
Problem 9EQ
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After a mass weighing 10 pounds is attached to a 5-foot spring,
the spring measures 7 feet. This mass is removed and replaced
with another mass that weighs 8 pounds. The entire system is
placed in a medium that offers a damping force numerically
equal to the instantaneous velocity.
(a) Find the equation of motion if the mass is initially released
from a point 1
2 foot below the equilibrium position with
a downward velocity of 1 ft/s.
(b) Express the equation of motion in the form given
in (23).
(c) Find the times at which the mass passes through the equilibrium position heading downward.
(d) Graph the equation of motion.
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