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MIT16_07F09_hw02

# MIT16_07F09_hw02 - NAME Massachusetts Institute of...

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Unformatted text preview: NAME : . . . . . . . . . . . . . . . . . . . . . Massachusetts Institute of Technology 16.07 Dynamics Problem Set 2 Out date: Sept 10, 2007 Due date: Sept 17, 2007 Time Spent [minutes] Problem 1 Problem 2 Problem 3 Study Time Turn in each problem on separate sheets so that grading can be done in parallel Problem 1 (20 points) Consider an iceboat traveling in the x direction at constant speed V boat in a true wind of speed V wind making an angle of θ wind with the direction of travel. The forces between the boat and the ice are such that the friction force from the runners is effectively zero while still supporting necessary side forces. In addition, the design of the boat is such that it has a lift to drag ratio, L/D . The helmsman has the freedom to choose the lift to drag ratio within the capabilities of the rig as well as choosing the course relative to the wind direction by choosing θ wind . In this problem, we will explore how best to set these quantities for maximum speed. Figure 1: Iceboat traveling on ice. Figure 2: Top view of boat. a) Solve for the magnitude of the apparent wind, V apparent , seen by the helmsman and its angle relative to the direction of travel, θ apparent . b) Show that if the boat is traveling at constant speed, the resultant aerodynamic force F total acts in a direction normal to the direction of...
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MIT16_07F09_hw02 - NAME Massachusetts Institute of...

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