Laplace Transform and the Driven Oscillator
Not what you're looking for?
Please provide help on this assignment with a clear explanation.
1. A mechanical system is described by the differential equation :
y''+(w^2)y=f(t)1, 0 < t < a
f(t) = { y0=y'0=0 0,
otherwise (1/w^2) (1-cos(wt)) t < a
show that : y = { (1/w^2) [(cos(w)(t-a) - cos(wt)] t > a
2. Sketch the motion if T is the period for free vibration of the system and:
a = T/3 , a =( 3/2) T , a = T/10
3. As the convolution integral, consider t < a and t > a separately f(t) = 0 for t > a.
Purchase this Solution
Solution Summary
The solution shows how to use the convolution integral to solve the harmonic oscillator equation when driven by a time-limited force.
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.