Find the simple harmonic equation

  • Thread starter Thread starter martinbandung
  • Start date Start date
  • Tags Tags
    Harmonic
Click For Summary

Homework Help Overview

The problem involves finding the simple harmonic equation given specific initial conditions, including position, velocity, and angular frequency. The context is within the subject area of simple harmonic motion.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss using conservation of energy to determine amplitude and express uncertainty about finding the phase constant. Some suggest writing down initial conditions to derive equations for amplitude and phase constant. Others question the completeness of the provided information regarding mass and spring constant.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem and clarifying the sufficiency of the given information. There is no explicit consensus, but various lines of reasoning are being examined.

Contextual Notes

Participants note the lack of information regarding mass and spring constant, which may affect the understanding of the system's dynamics, although angular frequency is provided. There is also a mention of ambiguity in the representation of the spring and block in the accompanying figure.

martinbandung
Messages
7
Reaction score
0

Homework Statement


view
view

https://drive.google.com/file/d/0Byoif068nH-zWTNHQTJid0gxRm8/view?usp=sharing[/B]
upload_2017-10-20_8-33-11.png


x=0.05m v=2m/s w=10 rad/s
Find the simple harmonic equation.

Homework Equations


x(t)=A sin (wt+psi)
conservation energy

The Attempt at a Solution


use conservation of energy to find amplitude and it is sqrt(17)/20

i have no idea about how to find the phase constant
 

Attachments

  • upload_2017-10-20_8-33-11.png
    upload_2017-10-20_8-33-11.png
    29.5 KB · Views: 425
Last edited by a moderator:
Physics news on Phys.org
martinbandung said:
x(t)=A sin (wt+psi)
Given this you can find A and phi just from the initial conditions. I suggest that you write them down. You will then have two equations and two unknowns which can be solved.
 
martinbandung said:
x=0.05m v=2m/s w=10 rad/s
Find the simple harmonic equation.
Is this the entirety of the information you are given? No block mass or spring constant?
 
gneill said:
Is this the entirety of the information you are given? No block mass or spring constant?
The information is sufficient. The mass and spring constant are only relevant for computing the angular frequency, which has already been given.
 
It's not clear from the problem statement (an image only!) whether the spring + block on the left is to represent the maximum compression position or perhaps the equilibrium position of the mass-spring system. Please provide a text description to accompany the figure.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 13 ·
Replies
13
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 8 ·
Replies
8
Views
5K
Replies
7
Views
1K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K