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A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 8 inches above the equilibrium position. Find the equation of motion (Use g = 32 ft/s2 for the acceleration due to gravity.) x(t) = X ft

A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 8 inches above the equilibrium position. Find the equation of motion (Use g = 32 ft/s2 for the acceleration due to gravity.) x(t) = X ft

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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A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 8 inches above the equilibrium position. Find the equation of motion (Use g = 32 ft/s² for the acceleration due to gravity.) x(t) = X ft
Transcribed Image Text:A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 8 inches above the equilibrium position. Find the equation of motion (Use g = 32 ft/s² for the acceleration due to gravity.) x(t) = X ft
A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if the mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of 5 ft/s. amplitude period π 2 X ft How many complete cycles will the mass have completed at the end of 67 seconds? 12 cycles
Transcribed Image Text:A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if the mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of 5 ft/s. amplitude period π 2 X ft How many complete cycles will the mass have completed at the end of 67 seconds? 12 cycles
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