Oscillations, calculating spring constant, amplitude, period

  • Thread starter selsunblue
  • Start date
  • #1

Homework Statement


A spring stretches 0.150m when a 0.300kg object is hung from it. The spring is then stretched an additional 0.100m from this equilibrium point and released.

A) Calculate the spring constant (k)

B) Calculate the amplitude, period of motion T, frequency f and angular velocity ω

C) Find the maximum magnitude of the velocity, vmax and indicate the positions that it occurs on your sketch

D) Find the maximum magnitude of the acceleration and indicate the positions that it occurs on your sketch.


Homework Equations


Hooke's law, F=mg=kx
ω=sqrt(k/m)
T=2∏/ω = 2∏ * sqrt(m/k)
f=ω/2∏
ω=sqrt(k/m)



The Attempt at a Solution


A) k=f/x=mg/x=(0.300)(9.80)/0.150 = 19.6 N/m

B) amplitude=0.100
T=0.777
f=1.3
ω=8.08

C) 1/2 *mv^2 = 1/2 * kA^2
v=A*sqrt(k/m)=0.808 m/s

Is this value for C correct?

D) a=kA/m = (19.6*0.100)/0.300 = 6.53 m/s^2
 

Answers and Replies

  • #2
1,948
200
All seems correct.
 

Related Threads on Oscillations, calculating spring constant, amplitude, period

Replies
2
Views
3K
Replies
1
Views
3K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
11K
Replies
24
Views
17K
Replies
1
Views
5K
  • Last Post
Replies
1
Views
2K
Replies
5
Views
11K
Replies
3
Views
3K
Top