Unformatted text preview: mass m and has a constant burn rate α and a relative exhaust velocity of U . At burnout, the mass of the rocket is m f . Assume that the gravitational acceleration is constant, and ignore air resistance. a) Determine the height of the rocket at burnout. b) Determine the maximum height of the rocket. 3) (15 points) A particle of mass m moves in the xy plane so that its position vector is an ellipse ~ r ( t ) = a ˆ x cos ωt + b ˆ y sin ωt a) Show that the net force on the particle points towards the origin. b) Compute the angular momentum of the particle about the origin (0 , , 0) as a function of time. c) Compute the angular momentum of the particle about the point ( a, , 0) as a function of time. d) Compute the torque ~ τ about the point ( a, , 0) as a function of time, and compare against the time rate of change of the angular momentum of the particle found in part c). 45 points total...
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 Fall '08
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 mechanics, Acceleration, Force, Mass, Work, General Relativity, Spacecraft propulsion, racing car

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