Physics HW Problems HELP (Mass-Spring Oscillators)

[zday]

I am really stressed because I missed a week of school and have this online assignment due tomorrow with a ton of problems, and my biggest problem is I am not even sure if I know the equations needed to solve this stuff, if I do I just can't piece it together.

1. An elastic cord oscillates up and down with a frequency of 7.4 Hz when a mass of .6 kg is hung from it. What is the frequency if only .38 kg hangs from it?



2.A mass attached to the end of a spring is stretched a distance .46 meters away from equilibrium and released. At what distance from equilibrium will its acceleration be equal to half of its maximum acceleration?



Equations
Again, please suggest any other equations I need, I am so frusturated right now.

KE = (1/2)mv²_max
μ_spring = (1/2)kx²
V_max = 2πfA , [f = frequency, A = amplitude]

 

[paisiello2]

Can you set up a differential equation and derive a formula?

 

[goraemon]

Have you read the textbook concerning these concepts? You should see there are several formulas for dealing with these types of problems. I'll give you just one formula:
$\omega=\sqrt{k/m}$

where $\omega$ is the radial velocity (in radians/sec), $k$ is the spring constant, and $m$ is the mass of the object attached to the spring.

See if you can find out how this and other related equations are derived, and how you may apply them to the problems.