Question: A military cargo drop system is designed to ease the landing of cargo parachuted from aircraft. The user wants the system to carry a disassembled

A military cargo drop system is designed to ease the landing of cargo parachuted from aircraft. The user wants the system to carry a disassembled 105 mm howitzer artillery unit weighing 2 tons including the container. It is estimated that the container will touch the ground at a velocity of 10 m/s.

a. Design a shock absorber system (i.e. spring and dampening components with suitable coefficients) that allows the cargo to settle at equilibrium, at the latest, five seconds after landing (i.e. earlier is better).

- Use the Laplace transform method

- Make a sketch of the system

- Bonus points will be given for realistic design considerations such as the minimum length of the spring (remember that the vertical traverse of the system will be limited by the minimum length of the spring)

- Find and graph the function describing the motion of the system. How long does it take to settle?

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