How to approach a simple harmonic motion problem

[hughes]

This is the question:

A massless spring with a spring constant of 0.50 N/m, has a mass of 0.7 kg on its end. The maximum speed of the end is 2.5 m/s. What is the angular frequency of the system?

I don't know how to approach this problem at all. I just know that omega/2pi is the frequency. But, we don't even have omega. I am so stuck and confused.

 

[SammyS]

Can you write an equation for the motion of the spring.

Doesn't ω depend only on spring constant, k, and mass, m, both of which you know?

 

[hughes]

i see, i forgot omega is the sqrt of k/m. thanks for the reply.

 

[hughes]

ω is equal to .845 m/s. Divide that by 2pi to get the angular frequency and you get .1345, which is incorrect.

Edit: Angular frequency (not frequency) is .845 m/s (the answer).

Thanks for the help. I really do appreciate it.

 

[SammyS]

Glad to help !