A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 6 m/s. Find the equation of motion. x(t) =|-3 sin 2t
A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 6 m/s. Find the equation of motion. x(t) =|-3 sin 2t
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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![**Problem Statement:**
A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 6 m/s. Find the equation of motion.
**Equation of Motion:**
\[ x(t) = -3 \sin 2t \, \text{m} \]
**Explanation:**
In this problem, we are dealing with a spring-mass system described by the parameters given. Using the provided information, the task is to derive the equation of motion for this system. The solution provided is the equation \( x(t) = -3 \sin 2t \, \text{m} \), which represents the displacement of the mass as a function of time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba28fbe0-fc04-46bc-bd01-9a9731588fb8%2Fa70f837f-7ed5-4ece-84e5-a4cdd50236bd%2Ft2yn214_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 6 m/s. Find the equation of motion.
**Equation of Motion:**
\[ x(t) = -3 \sin 2t \, \text{m} \]
**Explanation:**
In this problem, we are dealing with a spring-mass system described by the parameters given. Using the provided information, the task is to derive the equation of motion for this system. The solution provided is the equation \( x(t) = -3 \sin 2t \, \text{m} \), which represents the displacement of the mass as a function of time.
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