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Leeds International Study Centre Foundation Year Engineering, Science and Computing The table below shows the dimensions of the bus for each group. Parameter Group Red Blue Green Purple Yellow Orange A (m) 2.7 2.8 2.9 3 3.1 3.2 B (m) 10 10.1 10.2 10.3 10.4 10.5 C (m) 4.5 4.6 4.7 4.8 4.9 5 In your report you must include: (a) The calculation showing the location of the centre of gravity in three dimensions (x, y, z), from the reference axis shown in red in Figure 2.2 (b). (b) The calculation demonstrating that your design does not topple in the xz plane, when the banking angle is up to 15º. (c) The calculation demonstrating that your design does not topple in the yz plane, when the banking angle is up to 20°. (d) Explain the differences in modelling and results if you used an approach that modelled the components as particles instead of volumes. I

Leeds International Study Centre Foundation Year Engineering, Science and Computing The table below shows the dimensions of the bus for each group. Parameter Group Red Blue Green Purple Yellow Orange A (m) 2.7 2.8 2.9 3 3.1 3.2 B (m) 10 10.1 10.2 10.3 10.4 10.5 C (m) 4.5 4.6 4.7 4.8 4.9 5 In your report you must include: (a) The calculation showing the location of the centre of gravity in three dimensions (x, y, z), from the reference axis shown in red in Figure 2.2 (b). (b) The calculation demonstrating that your design does not topple in the xz plane, when the banking angle is up to 15º. (c) The calculation demonstrating that your design does not topple in the yz plane, when the banking angle is up to 20°. (d) Explain the differences in modelling and results if you used an approach that modelled the components as particles instead of volumes. I

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Leeds International Study Centre Foundation Year Engineering, Science and Computing The table below shows the dimensions of the bus for each group. Parameter Group Red Blue Green Purple Yellow Orange 2.7 2.8 A (m) 2.9 3 3.1 3.2 B (m) 10 10.1 10.2 10.3 10.4 10.5 4.5 C (m) 4.6 4.7 4.8 4.9 5 In your report you must include: (a) The calculation showing the location of the centre of gravity in three dimensions (x, y, z), from the reference axis shown in red in Figure 2.2 (b). (b) The calculation demonstrating that your design does not topple in the xz plane, when the banking angle is up to 15°. (c) The calculation demonstrating that your design does not topple in the yz plane, when the banking angle is up to 20°. (d) Explain the differences in modelling and results if you used an approach that modelled the components as particles instead of volumes. I a a 3 F P
Transcribed Image Text:Leeds International Study Centre Foundation Year Engineering, Science and Computing The table below shows the dimensions of the bus for each group. Parameter Group Red Blue Green Purple Yellow Orange 2.7 2.8 A (m) 2.9 3 3.1 3.2 B (m) 10 10.1 10.2 10.3 10.4 10.5 4.5 C (m) 4.6 4.7 4.8 4.9 5 In your report you must include: (a) The calculation showing the location of the centre of gravity in three dimensions (x, y, z), from the reference axis shown in red in Figure 2.2 (b). (b) The calculation demonstrating that your design does not topple in the xz plane, when the banking angle is up to 15°. (c) The calculation demonstrating that your design does not topple in the yz plane, when the banking angle is up to 20°. (d) Explain the differences in modelling and results if you used an approach that modelled the components as particles instead of volumes. I a a 3 F P
Leeds international Study Centre Foundation Year Engineering, Science and Comput Problem B: Stable design of an auto-bus An auto-bus (or bus for short) is a large vehicle capable of carrying a large amount of passenge for daily commutes. Static and dynamic stability of the system is crucial to the safety of the vehic and its passengers. One of the major factors in controlling stability is in the location of the centre c gravity. A lower centre of gravity results in an improvement in anti-toppling dynamics. ←Way out 23 SAILY VANGIT KAN IN LOL Figure 2: Two London double decker red buses from different eras. Your task is to design a hybrid powered bus and to ensure it meets the following design specification: ● The hybrid engine, hybrid motor and gearbox components cannot be placed within 0.5 m of the baseplate. ● The hybrid engine, hybrid motor and gearbox components cannot be placed within 0.2m of the other sides. • In the xz plane, vehicle must not topple on a bank up to an angle of 15 degrees. In the yz plane, vehicle must not topple up to an angle of 20 degrees. The bus is to be modelled as a rectangular prism volume. Model the wheels as volumes added onto the main shape, and model the engine, gearbox, and motor as missing volumes (holes). Place these volumes carefully so that the centre of mass is as low as possible. The following table illustrates the components that must be situated within the auto-bus: Dimensions (m) Component Model as X y Z Hybrid Engine Gearbox 0.3 Rectangular Prism Cube 012 0.2 0.2 al2 0.2 Radius Hybrid Motor 0.1 Wheels Cylinder Cylinder 0.3 Figure 2.2 (a) illustrates an example 3D model of the volume bus system. 0 H L Length 0.3 0.5 W
Transcribed Image Text:Leeds international Study Centre Foundation Year Engineering, Science and Comput Problem B: Stable design of an auto-bus An auto-bus (or bus for short) is a large vehicle capable of carrying a large amount of passenge for daily commutes. Static and dynamic stability of the system is crucial to the safety of the vehic and its passengers. One of the major factors in controlling stability is in the location of the centre c gravity. A lower centre of gravity results in an improvement in anti-toppling dynamics. ←Way out 23 SAILY VANGIT KAN IN LOL Figure 2: Two London double decker red buses from different eras. Your task is to design a hybrid powered bus and to ensure it meets the following design specification: ● The hybrid engine, hybrid motor and gearbox components cannot be placed within 0.5 m of the baseplate. ● The hybrid engine, hybrid motor and gearbox components cannot be placed within 0.2m of the other sides. • In the xz plane, vehicle must not topple on a bank up to an angle of 15 degrees. In the yz plane, vehicle must not topple up to an angle of 20 degrees. The bus is to be modelled as a rectangular prism volume. Model the wheels as volumes added onto the main shape, and model the engine, gearbox, and motor as missing volumes (holes). Place these volumes carefully so that the centre of mass is as low as possible. The following table illustrates the components that must be situated within the auto-bus: Dimensions (m) Component Model as X y Z Hybrid Engine Gearbox 0.3 Rectangular Prism Cube 012 0.2 0.2 al2 0.2 Radius Hybrid Motor 0.1 Wheels Cylinder Cylinder 0.3 Figure 2.2 (a) illustrates an example 3D model of the volume bus system. 0 H L Length 0.3 0.5 W
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