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 4 inches below the equilibrium position. Find the equation of motion. (Use g = 32 ft/s? for the acceleration due to gravity.) x(t) =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
icon
Related questions
Topic Video
Question

Specifically a DiffEq problem. Question in pic below.

Answer: x(t) = (1/3)cos(4sqrt(6)(t)) 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 4 inches below the equilibrium position. Find the equation of motion. (Use g = 32 ft/s? for the
acceleration due to gravity.)
x(t) =
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 4 inches below the equilibrium position. Find the equation of motion. (Use g = 32 ft/s? for the acceleration due to gravity.) x(t) =
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Fundamentals of Trigonometric Identities
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning