Rolling and Slipping

Android app on Google Play
Android Apps

     The rolling object shown is assumed to have a unit radius. So when linear velocity is numerically equal to angular velocity it rolls without slipping.   Furthur the mass distribution though symmetric about the axis shoud be assumed to be non uniform. That is, the moment of inertia of the object is not of the standard form.

     You can set diffferent initial linear and angular velocities. You could vary the coefficient of fricition. You would find the object attaining the rolling without slipping condition eventually, whatever the intial conditions. How quickly it does that depending on the friction coefficient. ( Set it high if you find the object rolling past the right edge before attaining no slip condition )

    Observe the red dots. They indicate the position of the center marked at equal intervels of time. If the dots are equidistant, the velocity is not changing.

    You can choose to display velocity vectors of a point on the rim by checking the checkbox marked velocity under display tab.  The red vector is the velocity due to rotation and the yellow vector is the velocity due to translation.