NTNUJAVA Virtual Physics Laboratory
Enjoy the fun of physics with simulations!
Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/
December 11, 2018, 12:51:45 pm *
Welcome, Guest. Please login or register.
Did you miss your activation email?

Login with username, password and session length
 
   Home   Help Search Login Register  
Youe can not help men permanently by doing for them what they could and should do for themselves. ..."Abraham Lincoln(1809-1865, US President 1861-1865"
Google Bookmarks Yahoo My Web MSN Live Netscape Del.icio.us FURL Stumble Upon Delirious Ask FaceBook

Pages: [1]   Go Down
  Print  
Author Topic: Hozirontal spring and vertical spring  (Read 14213 times)
0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
Fu-Kwun Hwang
Administrator
Hero Member
*****
Offline Offline

Posts: 3080



WWW
«
Embed this message
on: October 25, 2009, 03:53:44 pm » posted from:Taipei,T\'ai-pei,Taiwan

, Hooke's law of elasticity is an approximation that states that the extension of a spring is in direct proportion with the load added to it as long as this load does not exceed the elastic limit.
\vec{F}=-k \vec{d}
where
   \vec{d}, d=x-x_0 is the displacement of the end of the spring (x) from its equilibrium position (x_0);
   vec{F} is the restoring force exerted by the material; and
   k is the force constant (or spring constant).
The potential energy of a spring can be expressed as U(d)=\int -(-kx)dx|^d=\tfrac{1}{2}kdx^2

It becomes more complicated when a spring is hang in a vertical direction under gravity g.
If the end of the spring is y_0 when there is no mass attached to the spring.
The equilibrium position becomes y_0-\frac{m*g}{k} when a mass m is attached.
The motion is still a Simple Harmonic motion (SHM) if the mass is pushed/pulled away from the equilibrium position and released. What will be the spring force and potential energy look like as a function of y?

I hope the following simulation will help you find out the answer.

There are two tabbed panel in the simulation. One for horizontal spring and another one for vertical spring under gravity.
You can drag it to move the mass away from the equilibrium position, it will show external force and spring force.

The blue vurve is the force as a function of d : F_x(x-x_0) or F_y(y-y_0)
The red curve is the kinetic energy K=\tfrac{1}{2}mv^2
The green curve is the spring energy: U_k=\tfrac{1}{2}kd^2, where d=x-x_0 or d=y-y_0

The black vurve is the potential energy U_{mg}=m g d
The yellow curve is the sum of U_k+U_{mg}

Embed a running copy of this simulation

Embed a running copy link(show simulation in a popuped window)
Full screen applet or Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list
Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License
  • Please feel free to post your ideas about how to use the simulation for better teaching and learning.
  • Post questions to be asked to help students to think, to explore.
  • Upload worksheets as attached files to share with more users.
Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!


* springxy.gif (18.07 KB, 524x580 - viewed 721 times.)
Logged
Fu-Kwun Hwang
Administrator
Hero Member
*****
Offline Offline

Posts: 3080



WWW
«
Embed this message
Reply #1 on: April 05, 2010, 11:17:30 pm » posted from:Taipei,T'ai-pei,Taiwan

Click eye(image) to view the same simulation with different view (modified by Ahmed

Embed a running copy of this simulation

Embed a running copy link(show simulation in a popuped window)
Full screen applet or Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list
Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License
  • Please feel free to post your ideas about how to use the simulation for better teaching and learning.
  • Post questions to be asked to help students to think, to explore.
  • Upload worksheets as attached files to share with more users.
Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!


Logged
Pages: [1]   Go Up
  Print  
Youe can not help men permanently by doing for them what they could and should do for themselves. ..."Abraham Lincoln(1809-1865, US President 1861-1865"
 
Jump to:  


Related Topics
Subject Started by Replies Views Last post
Vertical spring (add gravity)
Dynamics
Fu-Kwun Hwang 2 21804 Last post July 10, 2007, 05:48:48 am
by Fu-Kwun Hwang
Vertical Spring
Examples for beginner who want to learn EJS
Fu-Kwun Hwang 5 24958 Last post August 19, 2011, 06:40:17 am
by smith88
vertical spring in equilibrium (adjustable gravity,spring constant and mass)
Dynamics
Fu-Kwun Hwang 2 10813 Last post February 07, 2018, 11:07:19 am
by blackjackds
Hozirontal spring and vertical spring
dynamics
ahmedelshfie 0 3468 Last post April 06, 2010, 11:42:18 pm
by ahmedelshfie
Spring sets (study effect sue to spring constant and mass)
dynamics
ahmedelshfie 0 4944 Last post May 20, 2011, 11:58:01 pm
by ahmedelshfie
Powered by MySQL Powered by PHP Powered by SMF 1.1.13 | SMF © 2006-2011, Simple Machines LLC Valid XHTML 1.0! Valid CSS!
Page created in 1.214 seconds with 22 queries.since 2011/06/15