A catapult (figure) is an elastically loaded member designed to store energy and throw the load....

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A catapult (figure) is an elastically loaded member designed to store energy and throw the load. The design model is a simple cantilever beam with an end load. The beam is hollow cylinder with fixed length, L. The radius, R, and wall thickness, t, are free. There are two constraints: The lever arm should not fail under the load, F, used to prepare the cantilever for firing, and the mass must be less than m [kg] to be easily moved around. The main objective is to store as much energy as possible in the catapult. a) Derive the M value for this design. The energy is that of a leaf spring given as: Uv = 10 4 E b) Use the materials selection chart(s) to identify 3 to 4 materials for this design. c) If we add another constraint of the vibration of the beam (under self- loading). The 3.52 frequency is: f = 2T PALA Derive the performance index by using the combination of the strength and the vibration constraints and compare the results with (ii) above crossbar spring releases and payload is launched 8- A catapult (figure) is an elastically loaded member designed to store energy and throw the load. The design model is a simple cantilever beam with an end load. The beam is hollow cylinder with fixed length, L. The radius, R, and wall thickness, t, are free. There are two constraints: The lever arm should not fail under the load, F, used to prepare the cantilever for firing, and the mass must be less than m [kg] to be easily moved around. The main objective is to store as much energy as possible in the catapult. a) Derive the M value for this design. The energy is that of a leaf spring given as: Uv = 10 4 E b) Use the materials selection chart(s) to identify 3 to 4 materials for this design. c) If we add another constraint of the vibration of the beam (under self- loading). The 3.52 frequency is: f = 2T PALA Derive the performance index by using the combination of the strength and the vibration constraints and compare the results with (ii) above crossbar spring releases and payload is launched 8-