Find max energy stored in oscillating system

  • #1
A 0.90 kg mass on a spring oscillates horizontally with little friction according to the following equation: x = 0.090cos(2.90t), where x is in meters and t in seconds. Find the maximum energy stored in the spring during an oscillation.

X=a*cos (omega*t)
omega =2pi*frequency = sqrot k/m
x=mg/k which came from kx=mg

I got k=7.569 from omega=sqrt m/k, then I plugged k into kx=mg and got x=1.165
from here I would like to use well...im unsure. is the total energy equal to 1/2kx^2 because I have x and k if they are correct.
 

Answers and Replies

  • #2
Part B of the problem is to
Find the maximum velocity of the mass. Would I use v=-Aomega sin (omega *t)?
 

Related Threads on Find max energy stored in oscillating system

Replies
1
Views
8K
Replies
1
Views
711
  • Last Post
Replies
3
Views
1K
Replies
13
Views
819
  • Last Post
Replies
9
Views
13K
Replies
1
Views
727
Replies
2
Views
3K
  • Last Post
Replies
1
Views
3K
Replies
3
Views
13K
Replies
4
Views
2K
Top