ENES100_PS5_solutions_S09

ENES100_PS5_solutions_S09 - ENES 100 Introduction to...

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1/3 ENES 100 Introduction to Engineering Design Problem Set 5 Spring 2009 Due Date: Monday, March 9 or Tuesday, March 10 Reading: Brannigan et al. (2008), Chapter 5: “Hovercraft Motion and Control.” Problems: 1. Consider the hovercraft with plan (top) view as shown. The hovercraft can be considered to be massless except for the three items with locations given in the table below. (a) Please find the x and y coordinates of the hovercraft center of gravity. (b) Please find the moment of inertia about the center of gravity. SOLUTION: (a) 800 ( 1 – x ) + 300 ( -5 – x ) + 250 ( 7 – x ) = 0 therefore x = 0.778 cm 800 ( 6 – y ) + 300 ( -8 – y ) + 250 ( -3 – y ) = 0 therefore y = 1.22 cm (b) Distance of masses from center of gravity comes from R 2 = x 2 + y 2 : R 1 = [ ( 1 cm – 0.778 cm ) 2 + ( 6 cm – 1.22 cm ) 2 ] 0.5 = 4.79 cm R 2 = [ ( -5 cm – 0.778 cm ) 2 + ( -8 cm – 1.22 cm ) 2 ] 0.5 = 10.9 cm R 3 = [ ( 7 cm – 0.778 cm ) 2 + ( -3 cm – 1.22 cm ) 2 ] 0.5 = 7.52 cm
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This note was uploaded on 02/27/2010 for the course ENME 271 taught by Professor Marks during the Spring '08 term at Maryland.

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ENES100_PS5_solutions_S09 - ENES 100 Introduction to...

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