MIT16_07F09_final05

MIT16_07F09_final05 -...

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Unformatted text preview: Name:............................................................................ Massachusetts Institute of Technology 16.07 Dynamics Final Exam Tuesday, December 20, 2005 Points Problem 1 (8) Problem 2 (8) Problem 3 (10) Problem 4 (10) Problem 5 (10) Problem 6 (10) Problem 7 (10) Problem 8 (10) Problem 9 (12) Problem 10 (12) Total 1. (8 points) The uniform square block of mass M is suspended by two massless strings of length L which suspended from the fixed points O and O ′ . Calculate the period of small oscillations about the equilibrium position. d O M d L O' g d 2. (8 points) A 200 , 000 kg train runs east at a speed of 200 km/h at a latitude of 60 o north. Determine the magnitude and direction of the lateral force on the tracks. 3. (10 points) A truck at rest has one door open as shown. The truck accelerates forward forward at constant acceleration a , and the door begins to swing shut. The door is uniform and solid, has total mass M , height h , and width w . Neglect air resistance a.- Find the instantaneous angular velocity of the door about its hinges when it has swung through 90 o . b.- Find the horizontal force on the door when it has swung through 90 o ....
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This note was uploaded on 11/06/2011 for the course AERO 112 taught by Professor Widnall during the Fall '09 term at MIT.

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MIT16_07F09_final05 -...

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