A particle of mass m is subject to a spring force, -kx, and also a driving force, Fa cos wat. But there is no damping force. Find the particular solution for x(t) by guessing x(t) = A cos wat + B sin wat. If you write this in the form C cos(wat - ), where C > 0, what are C and o? Be careful about the phase (there are two cases to consider)

icon
Related questions
Question
4.30. No damping force *
A particle of mass m is subject to a spring force, -kx, and also a driving
force, Fa cos wat. But there is no damping force. Find the particular
solution for x(t) by guessing x(t) = A cos wat + B sin wat. If you write
this in the form C cos(wat - o), where C > 0, what are C and o? Be
careful about the phase (there are two cases to consider).
Transcribed Image Text:4.30. No damping force * A particle of mass m is subject to a spring force, -kx, and also a driving force, Fa cos wat. But there is no damping force. Find the particular solution for x(t) by guessing x(t) = A cos wat + B sin wat. If you write this in the form C cos(wat - o), where C > 0, what are C and o? Be careful about the phase (there are two cases to consider).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer