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"It is not the strongest of the species that survive, but the one most responsive to change." ..."Darwin(1809-1882, English naturalist Evolution)"

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 Author Topic: Ball Rolling without slipping in a hill  (Read 3982 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
ahmedelshfie
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 « Embed this message on: May 08, 2010, 09:33:43 pm »

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

Embed a running copy link(show simulation in a popuped window)
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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
• 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!
 ball.gif (15.91 KB, 817x540 - viewed 396 times.) « Last Edit: May 08, 2010, 09:42:06 pm by ahmedelshfie » Logged
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"It is not the strongest of the species that survive, but the one most responsive to change." ..."Darwin(1809-1882, English naturalist Evolution)"
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