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Unformatted text preview: ME 240 Fall 2009 Computer Assignment Due at beginning of class on Friday October 9, 2009 Consider a male athlete competing in the shot put competition, as depicted in the Figure below. The shot stone is released 1.82 m above ground, with an initial speed of 13.6 m/s, and at a launch angle, α , measured with respect to the horizontal ground. The mass, m , of the shot stone is 7.26 kg (for the men’s competitions). Let g represent the acceleration due to gravity. The aerodynamic drag force vector is given by the equation F d =- 1 2 ρ air v 2 AC d e v =- F d e v (1) in which ρ air = 1 . 2 kg / m 3 , is the density of air; v is the speed of the shot stone; A is the projected cross-sectional area of the shot stone, A = 1 2 πR 2 , where R = 6 . 5 cm is the radius of a typical shot stone; C d is the coefficient of drag, (for this problem, C d = 0 . 45; e v is the unit vector parallel to the shot stone velocity vector; F d = 1 2 ρ air v 2 AC d ....
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- Fall '09