Wednesday, November 18, 2015

Ejs Open Source Circular Loop Vertical Motion java applet

Ejs Open Source Circular Loop Vertical Motion java applet

Updated 18 Nov 2015 #html5 #javascript
http://iwant2study.org/ospsg/index.php/interactive-resources/physics/02-newtonian-mechanics/05-circle/282-coaster96wee



Updated: 07 March 2014


Ejs Open Source Circular Loop Vertical Motion java applet with mass point align on the track for ease of calculation for minimum speed of  $ v = 2.5 r $ for completing circular motion reduce $ \delta t =0.01 $ for stepping almost to top of the loop.
http://weelookang.blogspot.com/2011/09/ejs-open-source-circular-loop-vertical.html
collision track https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejs_model_coaster96wee.jar
with top 90 degree https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejs_model_coaster9wee.jar
with linear track https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejs_model_coaster7wee.jar
theoretical H https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejs_model_coaster5wee.jar
https://dl.dropboxusercontent.com/u/44365627/lookangEJSS/export/ejs_model_coaster3wee.jar
https://dl.dropbox.com/u/44365627/lookangEJSworkspace/export/ejs_users_sgeducation_lookang_coaster3wee.jar
author: Fu-Kwun Hwang and lookang
s


Ejs Open Source Circular Loop Vertical Motion java applet with end of a motion show as impact with ground after free fall
http://weelookang.blogspot.com/2011/09/ejs-open-source-circular-loop-vertical.html
https://dl.dropboxusercontent.com/u/44365627/lookangEJSS/export/ejs_model_coaster3wee.jar
https://dl.dropbox.com/u/44365627/lookangEJSworkspace/export/ejs_users_sgeducation_lookang_coaster3wee.jar
author: Fu-Kwun Hwang and lookang



Full screen applet
kindly hosted in NTNUJAVA Virtual Physics Laboratory by Professor Fu-Kwun Hwang
http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=2230.0
alternatively, go direct to http://www.phy.ntnu.edu.tw/ntnujava/index.php?board=28.0
Collaborative Community of EJS (Moderator: lookang) and register , login and download all of them for free :) This work is licensed under a Creative Commons Attribution 3.0 Singapore License
Author: Fu-Kwun Hwang and lookang



other circular loop vertical motion
Particle Motion On A Vertical Elliptical Loop Model written by Wolfgang Christian http://www.compadre.org/OSP/items/detail.cfm?ID=11234


changes

add energy bars that are exactly in sync in y with applet
hide the text and energy bars originally there by Fu-Kwun Hwang
added usual control at the bottom panel
add stagetext to allow make sense of motion
if(stage==0){ // moving in circular motion on the uptrack
else if(stage==1){ // moving in circular motion on the circletrack
else if(stage==2 ){ // moving in linear motion on the straight bottom track
else if(stage==3){//free fall

bug:
found a bug in nf in stage 1 the number did not make sense

Physics of Roller Coaster


Simply speaking, a roller coaster is a machine that uses gravity and inertia to send a train of cars along a winding track.[1] This combination of gravity and inertia, give the body certain sensations as the coaster moves up, down, and around the track. The forces experienced by the rider are constantly changing, leading to feelings of joy in some riders and nausea in others. The basic principles of roller coaster mechanics have been known since 1865, and since then roller coasters have become a popular diversion.

Centripetal acceleration

The track's curve track prevents the object following the straight line it otherwise would, by applying a force on it (via its outside edges) towards the center of the circle, forcing it to travel in a curved path instead. This centripetal (center seeking) acceleration actually points toward the center of the circle, but a roller coaster rider experiences it as contact force, a force pushing them toward the outer edge of the car. The following equation expresses centripetal acceleration (to make it centripetal force simply multiply by the mass):

$ a_{r} = \frac {v^{2}}{r} $

where $ a_{r} $ is centripetal acceleration, $ v $ is velocity and $ r $ is the radius of the circular path. This shows that two roller coaster cars entering two loops of different size at the same speed will experience different acceleration forces: the car in the tighter loop will feel greater acceleration while the car in the wider loop will feel less acceleration.


Circular Loop Explained!


H =3.5r, motion completes circular loop


H =3.5r, motion completes circular loop

H =2.5r, motion completes circular loop just enough centripetal acceleration at the top to complete loop

H =2.45r. , motion does circular loop until $ \theta $ in upper right quadrant to go free fall and hit circular track again at upper left quadrant and motion continues until exit horizontal straight track on the right

H =2.0r. , motion does circular loop until $ \theta $ in upper right quadrant to go free fall and hit circular track again at lower left quadrant and motion continues until exit horizontal straight track on the right

H =1.5r. , motion does circular loop until $ \theta $ in upper right quadrant to go free fall and hit circular track again at lower right quadrant and motion oscillates between the first circular track R and part of the circular track r

H =r. , motion does circular loop oscillation between the first circular track R and part of the circular track r

H =0.5r. , motion does circular loop oscillation between the first circular track R and part of the circular track r





showing the centripetal acceleration and tangential acceleration with radius of loop r = 3.33m, height of release H = 2.5r = 8.325m. bigger r loop will feel less acceleration ac
showing the centripetal acceleration and tangential acceleration with radius of loop r = 2.50m, height of release H = 3.33r = 8.325m. smaller r loop will feel greater acceleration ac

What is the contact force?

when the mass travels down the 1st to the loop at  at the bottom position,
the contact force minus the weight is the nett force that results in a centripetal acceleration thus a circular motion is possible

when the mass travels from the circular loop and onto the straight track, 2nd time at the bottom position,
the contact force minus the weight is the nett force that results in a zero acceleration thus straight line motion is possible

Shared on wikipedia

https://en.wikipedia.org/wiki/Physics_of_roller_coasters#Centripetal_acceleration
descDateNameThumbnailSizeUserDescriptionCurrent version
07:56, 10 March 2014CoasterH=2.5raccelerationlowr=2.5.gif(file)367 KBLookangUser created page with UploadWizardYes
06:57, 10 March 2014CoasterH=2.5r.gif (file)583 KBLookanglow resYes
06:50, 10 March 2014CoasterH=2.5rforces.gif (file)614 KBLookanglow res full viewYes