quiz1_2 - F b(t = B d v(t a Formulate a differential...

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Problem 2 (20 points) A sailing ship of mass, m , is initially at rest, i.e. v(0) = 0 . At time t = 0, a strong wind arises of magnitude V o = 10m/s Vo m v(t) Assume that the force of the wind on the sails in the direction of travel is given by F w (t) = B w [V o œ v(t)] Assume that the viscous drag of the water on the ship is given by
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Unformatted text preview: F b (t) = B d v(t) a) Formulate a differential equation that describes the ship‘s velocity, v(t). b) Solve the differential equation from a) and write an expression for the ship‘s velocity, v(t) . c) Sketch the response, v(t). d) Write an expression for the steady-state velocity, v ss , in terms of system parameters....
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