- 7

- 0

**1. Homework Statement**

I have read the chapter twice and I have read through the notes several times to help me with the homework assignment. It deals with damped Harmonic Oscillations.

Problem:

You have a mass submerged horizontally in oil and a spring with a k of 85 N/m pulls on a mass of 250g in oil with a b = 0.07 Kg/s

1. What is the period of oscillation?

I found the angular frequency of the system and then used the 2(pi) / omega to find the period. I found this to be around 0.3407 seconds. Is this correct?

2. How long does it take for the amplitude to die down to 0.5 amplitude of the max? There seems to be nothing in the book or the notes that helps with solving this unless I am missing something. I do not know a distance (or position), Amplitude, or phase angle to use the equation found in the book.

I found an answer of 4.95 seconds but I am not sure if that is correct since no equation in the book solves something like this. I took the Amplitude term of the damped harmonic oscillator equation and set it equal to 0.5A and solved for t.

3. How long until the total energy is 0.5 the initial value? The book just gives the rate of energy loss in terms of a velocity value and a b value, which was not given.

Absolutely no clue here....

I appreciate ANY help! Thanks.