Ball Rolling without slipping in a hill

[ahmedelshfie]

This applet created by prof Hwang
Modified by Ahmed
Original project Ball Rolling without slipping in a hill

A ball or cylinder rolling (without slipping) down in a down hill slope.
The condition for rolling without slipping is
 v=R*ω (angular velocity) or a=R*α (angular acceleration)
where R is the radius of the ball or cylinder.

Assume the friction force is f
1. m*g*sinθ-f=m*a
2. R*f=I*α
3. I=(1/2)m*R2 for cylinder, (2/5)m*R2 for sphere
solve the above equation will give you
f=(1/3)m*g*sinθ for cylinder or f=(2/7)m*g*sinθ for sphere.
The following add a spring make it more complicated!

Embed a running copy of this simulation
<applet code='users.br.ahmed.users_ntnu_fkh_ballNrampwspring_pkg.users_ntnu_fkh_ballNrampwspringApplet.class' archive='http://www.phy.ntnu.edu.tw/ntnujava/ejsuser/37048/ejs_users_ntnu_fkh_ballNrampwspring.jar' name='users_ntnu_fkh_ballNrampwspring6167' id='users_ntnu_fkh_ballNrampwspring6167' width='811' height='513' mayscript=true><param name='draggable' value='true'></applet>
Embed a running copy link(show simulation in a popuped window)
<a href='http://www.phy.ntnu.edu.tw/ntnujava/msg.php?smfejs=6167' target='smfejs'>Run simulation</a>

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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

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