TheoProb_III - IPhO2002 III A Heavy Vehicle Moving on An...

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IPhO2002 6 III. A Heavy Vehicle Moving on An Inclined Road Figure III-1: A simplified model of a heavy vehicle moving on an inclined road. The above figure is a simplified model of a heavy vehicle (road roller) with one rear and one front cylinder as its wheels on an inclined road with inclination angle of è as shown in Figure III-1. Each of the two cylinders has a total mass M(m 2 =m 3 =M) and consists of a cylindrical shell of outer radius R o , inner radius R i = 0.8 R o and eight number of spokes with total mass 0.2 M. The mass of the undercarriage supporting the vehicle’s body is negligible. The cylinder can be modeled as shown in Figure III-2. The vehicle is moving down the road under the influence of gravitational and frictional forces. The front and rear cylinder are positioned symmetrically with respect to the vehicle. è h m 2 rear cylinder m 3 front cylinder t m 1
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IPhO2002 6 Figure III-2: A simplified model of the cylinders. The static and kinetic friction coefficients between the cylinder and
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TheoProb_III - IPhO2002 III A Heavy Vehicle Moving on An...

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