TheoSol_III - SOLUTION T3 A Heavy Vehicle Moving on An...

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III - 1 SOLUTION T3 : . A Heavy Vehicle Moving on An Inclined Road To simplify the model we use the above figure with h 1 = h+0.5 t R o = R 1. Calculation of the moment inertia of the cylinder R i =0.8 R o Mass of cylinder part : m cylinder =0.8 M Mass of each rod : m rod = 0.025 M θ l l h 1

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III - 2 pts 0.1 7 . 0 00533 . 0 8 656 . 0 becomes each wheel of inertia moment The pts 0.5 00533 . 0 ) 64 . 0 ( 025 . 0 3 1 3 1 3 1 pts 0.5 656 . 0 ) 64 . 0 1 ( ) 8 . 0 ( 5 . 0 ) ( 5 . 0 ) ( 5 . 0 2 pts 0.4 ... 2 2 2 2 2 2 3 0 2 rod 2 2 2 2 2 4 4 3 . 2 2 rod1 2 . 2 2 MR MR x MR I MR R M R m R dr r dm r MR R M R R m R R dr r dm r dm r dm r dm r dm r I in rod in Rin i o cylinder i o Ro Ri shell cyl n rod shell cyl wholepart = + = = = = = = = + = + = - = = + + + = = l l ps ps 2. Force diagram and balance equations: To simplify the analysis we devide the system into three parts: frame (part1) which mainly can be treated as flat homogeneous plate, rear cylinders (two cylinders are treated collectively as part 2 of the system), and front cylinders (two front cylinders are treated collectively as part 3 of the system). Part 1 : Frame 0.4 pts The balance equation related to the forces work to this parts are: l l h 1 N 13 m 1 g f 13h f 12h N 12
III - 3 Required conditions: pts 0.2 (3) 0 N N that so zero, is O against on Then torsi pts 0.2 (2) cos axis vertical in the force of Balance pts 0.2 (1) sin axis horizontal in the force of Balance 1 13 1 12 13 12 13 12 1 1 13 12 1 = + + - + = = - - h f h f l l N N g m a m f f g m h h h h q q Part two : Rear cylinder 0.25 pts pts 0.15 (5) 0 cos N pts 0.15 (4) sin f : rear wheel in condition

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TheoSol_III - SOLUTION T3 A Heavy Vehicle Moving on An...

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