Amplitude and period of a spring

  • Thread starter musicmar
  • Start date
  • #1
100
0

Homework Statement


A 340 g mass is attached to a vertical spring and lowered slowly until it rests at a new equilibrium position, which is 30 cm below the spring's original equilibrium. The spring is then set into simple harmonic motion. What is the period of the motion?


Homework Equations


I don't know how to enter greek letters, so let w=omega
x(t)=Acos(wt)
w=sqrt(k/m)
w=2pi*f

The Attempt at a Solution


I tried it using conservation of energy, but that didn't really help because v has many extra variables in its equation. Does the addition of the mass cause a 30 cm increase in the amplitude, or is it only half? I just thought of something. If I knew how to relate the angular frequencies, I could use conservation of energy, but I don't know how to relate the angular frequencies.
 

Answers and Replies

  • #2
ehild
Homework Helper
15,538
1,905
Do you know how the spring constant is defined?

ehild
 

Related Threads on Amplitude and period of a spring

Replies
1
Views
2K
Replies
2
Views
3K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
7
Views
27K
Replies
1
Views
3K
Replies
4
Views
1K
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
9
Views
1K
  • Last Post
Replies
4
Views
4K
Top