A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s² offers a damping force that is numerically equal to 21/12 for the acceleration due to gravity.) x(t) = e • (5) [ - 100 (1) ( (VT),) - 134 plin(1)( (✓)))+ c(36) + sin (30) (t 3√4t x ft
A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s² offers a damping force that is numerically equal to 21/12 for the acceleration due to gravity.) x(t) = e • (5) [ - 100 (1) ( (VT),) - 134 plin(1)( (✓)))+ c(36) + sin (30) (t 3√4t x ft
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
Problem 9EQ
Related questions
Question
100%
![8
A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that
offers a damping force that is numerically equal to the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s²
for the acceleration due to gravity.)
2
(√4)
x(1) - e -(5) [ - 14 cos (1) ( (VT),) - 134 sin(e) ((7),)] + 20 cos (3) +- 20 sin (38)
=
е
3
2
3√4t
2
3
3
ft](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b659566-a2ad-4ea7-b4ee-c67667eae8be%2Fdd36362e-a3f1-46bb-9592-67753dfcd3a7%2Frvdtc_processed.png&w=3840&q=75)
Transcribed Image Text:8
A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that
offers a damping force that is numerically equal to the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s²
for the acceleration due to gravity.)
2
(√4)
x(1) - e -(5) [ - 14 cos (1) ( (VT),) - 134 sin(e) ((7),)] + 20 cos (3) +- 20 sin (38)
=
е
3
2
3√4t
2
3
3
ft
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 5 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning