An object of mass 1 (kg) stretches a spring and is set in motion from a certain position. The damping constant of the spring is 2 (N · 8/m), and the spring constant in Hooke's law is 5 (N/m). During the motion there is an external force f(t) (N) acting on the mass such that f(t) = Acos(w(t – 4)). Then the displacement y = y(t) of the object from the equilibrium position satisfies /" + 2y' + 5y = A cos(w(t – $)).
An object of mass 1 (kg) stretches a spring and is set in motion from a certain position. The damping constant of the spring is 2 (N · 8/m), and the spring constant in Hooke's law is 5 (N/m). During the motion there is an external force f(t) (N) acting on the mass such that f(t) = Acos(w(t – 4)). Then the displacement y = y(t) of the object from the equilibrium position satisfies /" + 2y' + 5y = A cos(w(t – $)).
Related questions
Question
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