A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/sec from 1 ft above the equilibrium position. Assume that the mass does not experience any retarding force and the spring motion is not influenced by an external driving force which is a function of time. Assume g=32 ft/s?. If x is the displacement from the equilibrium position in feet, the differential equation that models the system is O x"+16x=0 O x"+21.3x-0 O x"+256x=0 O x"+32x=0

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A 2-lb object, that stretches a spring by 1.5 inches, is released with a
downward velocity of 32 ft/sec from 1 ft above the equilibrium position.
Assume that the mass does not experience any retarding force and the
spring motion is not influenced by an external driving force which is a
function of time. Assume g=32 ft/s?.
If x is the displacement from the equilibrium position in feet, the
differential equation that models the system is
O x"+16x=0
O x"+21.3x-D0
O x"+256x=0
O x"+32x=0
Transcribed Image Text:A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/sec from 1 ft above the equilibrium position. Assume that the mass does not experience any retarding force and the spring motion is not influenced by an external driving force which is a function of time. Assume g=32 ft/s?. If x is the displacement from the equilibrium position in feet, the differential equation that models the system is O x"+16x=0 O x"+21.3x-D0 O x"+256x=0 O x"+32x=0
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