Can a Phase Constant Be Determined from Given Oscillation Data?

  • Thread starter Thread starter SkinlessSpore
  • Start date Start date
  • Tags Tags
    Oscillating Spring
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
Sign up Log in
2 replies · 2K views
SkinlessSpore
Messages
2
Reaction score
0

Homework Statement


A 3kg object is attached to a spring and oscillates with an amplitude of 10 cm and frequency f = 2 Hz

a.) What is the force constant k of the spring?
b.) what is the total energy of this motion?
c.) Write an equation for x(t) describing the position of this object relative to its equilibrium position. Can phase constant be determined from the information given?[/B]

Homework Equations


k = (4π^2)(m)/T^2
TE= 1/2kx^2+1/2mv^2
1/2kA^2 = 1/2kx^2+1/2mv^2[/B]

The Attempt at a Solution



a.) k = 4π^2(3)/(0.5)^2 = 473.74
b.) First I attempted to find the velocity from the equation 1/2kA^2 = 1/2kx^2+1/2mv^2 I have trouble putting something in for x. Should I just put the amplitude in for x?
c.) x(t) = 0.01sin(4π t + φ) [/B]
 
Physics news on Phys.org
Welcome to PF!

Parts (a) and (c) look good except that you have not included units. Do you need to worry about significant figures?

Hint for (b): Does it matter at which point of the motion you calculate the energy?
 
  • Like
Likes   Reactions: SkinlessSpore
TSny said:
Welcome to PF!

Parts (a) and (c) look good except that you have not included units. Do you need to worry about significant figures?

Hint for (b): Does it matter at which point of the motion you calculate the energy?
Thank you!