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PS5 - a thrust of T = 0.5 N at a radius of 15 cm with...

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ENES 100 Introduction to Engineering Design Fall 2010  Problem Set #5 Due: In class on Oct. 11 (M) or Oct. 12 (Tu) Reading: Chapter 5 of the course text on Hovercraft Motion and Control Problems: 1. Consider the hovercraft with plan (top) view as sketched. The hovercraft can be considered massless except for the four items shown below. Item Description Mass, g x , cm y , cm 1 Propulsor 200 0 – 50 2 Battery A 600 – 10 0 3 Levitation Fan 300 0 0 4 Battery B 300 x B y B Battery B is placed such that the hovercraft is perfectly balanced, i.e., its center of gravity moves to x cg = y cg = 0. Considering these four items, please find the moment of inertia of the hovercraft about its center of gravity. 2. Consider the hovercraft with plan (top) view as shown. The center of gravity is at x = y = 0. The vehicle moment of inertia about the center of gravity is I = 50 g–m 2 . Each propeller exerts
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Unformatted text preview: a thrust of T = 0.5 N at a radius of 15 cm with respect to the center of gravity. Please find the time required for the vehicle to rotate 45 ° about the center of gravity from a stop, assuming there is no friction. y x y x levitation fan vehicle T T ENES 100 Introduction to Engineering Design Fall 2010 3. Consider the hovercraft with plan (top) view as shown, and with the following properties. The vehicle mass is m = 2 kg. The pressure generated by the levitation fan is Δ p = 100 Pa. The plenum area is A p = 0.15 m 2 . Each propulsor generates a thrust of T = 1 N. The static and kinetic friction coefficients are μ s = 0.3 and k = 0.2 . (a) Show that there is enough thrust to overcome the static friction. (b) How long will it take the hovercraft to travel 1 m? y x levitation fan vehicle T T...
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