Solve Oscillation Problems: Find Mass m with Frequency Change

[Shackleford]

Homework Statement

A mass m at the end of a spring oscillates with a frequency of 0.83 Hz. When an additional 680-g mass is added to m, the frequency is 0.60 Hz. What is the value of me?

Homework Equations

w = 2 pi f

w^2 = k / m

The Attempt at a Solution

m = .74725 kg

I'll probably be adding a few more problems, as my textbook didn't come with a solutions manual. I wish it did.

 

[jaseh86]

Hmm.. I got 0.744kg.

Did you find w first and then sub it in with a rounded off value?

Or did you find m algebraically and then evaluate?

 

[Shackleford]

Hmm.. I got 0.744kg.

Did you find w first and then sub it in with a rounded off value?

Or did you find m algebraically and then evaluate?

Our answers are close enough. It looks like I did it correctly.

I found the two "w"s first, expressed the masses in terms of m, setup a ratio and solved for m.