When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at 1-0, a force equal to f(t) = 24e 4 cos 3r is applied to the system. In the absence of damping, (a) find the position of the mass when :=x. (b) what is the amplitude of vibrations after a very long time?

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
Question

Number four, keep four decimal places

Number four, keep four decimal places

Number four, keep four decimal places

#4: When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position.
Starting at 1=0, a force equal to f(t) = 24e 4 cos 3t is applied to the system. In the absence of damping.
(a) find the position of the mass when t=.
(b) what is the amplitude of vibrations after a very long time?
Transcribed Image Text:#4: When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at 1=0, a force equal to f(t) = 24e 4 cos 3t is applied to the system. In the absence of damping. (a) find the position of the mass when t=. (b) what is the amplitude of vibrations after a very long time?
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning