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Title: Ball Rolling without slipping in a hillPost by: ahmedelshfie 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 (http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=1025.0) 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! |