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BICYCLE WHEEL WITH FREE OR LOCKED AXLE ON AN INCLINED PLANE








EQUIPMENT

    redball.gif (326 bytes) Bicycle Wheel with Collars
   
redball.gif (326 bytes) Al Parallel Inclines
   



NARRATIVE
            The bicycle wheel with collars is equipped with a pin on the axle which when engaged with the spokes constrains the axle to turn with the entire wheel. The moment of inertia of the wheel with the locked axle is the moment of inertia of the rim (mr2) plus the moment of inertia of the axle (˝mr2). Because of the large radius of the wheel, the moment of inertia of the locked wheel is large and its linear and angular velocity down an inclined plane are small.

            The moment of inertia of the wheel with the axle disengaged  is just   the  moment  of  inertia  of the axle (˝mr2), which is small. Consequently, linear and angular velocity of the  wheel and axle down the inclined plane are large.