oscillations driven by a periodic force F=F_0 cos(w(omega)t). To analyze the expression for the amplitude of a driven oscillator, we will rewrite it in dimensionless form. 

Get Your Custom Essay Written From Scratch

We have worked on a similar problem. If you need help click order now button and submit your assignment instructions.

Get Answer Over WhatsApp Order Paper Now

Just from $13/Page

Preliminary stuff. Step 1: show that a constant force F_0 applied to the oscillator will stretch the spring by A_0=F_0/(m w_0 ^2) where w_0 is the natural frequency of the oscillator. Length A_0 will be our “meter stick” in this problem, and we will measure the amplitude of oscillations in terms of a dimensionless quantity y=A/A_0. 

Step 2: following the class notes, express y in terms of a dimensionless “frequency” x=w/w_0 and the quality factor Q. 

Now, the actual problem. Analyze y(x) and find the maximum dimensionless amplitude ymax and at what dimensionless frequency xmax it is reached. 

Needs help with similar assignment?

We are available 24x7 to deliver the best services and assignment ready within 3-4 hours? Order a custom-written, plagiarism-free paper

Get Answer Over WhatsApp Order Paper Now