hw05 - θ(0 = 2 φ(0 = 0 ˙ θ(0 = 1 ˙ φ(0 = 2 Turn in a...

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AE 352: Aerospace Dynamics II, Fall 2008 Homework 5 Due Friday, October 10 Problem 1. Using x 1 and x 2 as coordinates, obtain the kinetic and potential energy of the system of sliding blocks shown in Figure 1 (assume no friction). Problem 2. Find the di ff erential equations of motion for a spherical pendulum of length l and mass m using the Lagrangian method (Figure 2). Be very thorough in defining your terms. Extra Credit: numerically solve the di ff erential equations of motion for initial conditions
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Unformatted text preview: θ (0) = . 2, φ (0) = 0, ˙ θ (0) = . 1, ˙ φ (0) = . 2. Turn in a plot of the projection of the mass onto the x-y plane. Problem 3. Find the di ff erential equations of motion for the system shown in Figure 3 (assume no friction). Page 1 of 2 AE 352: Aerospace Dynamics II, Fall 2008 Figure 1: A system of sliding blocks. Figure 2: A spherical pendulum. Figure 3: A simple pendulum attached to a sliding block. Page 2 of 2...
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