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ME522HW1

# ME522HW1 - 4 The motion of an animal in the horizontal...

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ME 522 Homework #1 Due: Before Class, January 13, 2010 1. Compute, by hand, for the matrix below: - - = 0 1 1 0 1 0 2 2 3 A a. det(A) b. Inverse of A c. Eigenvalues and eigenvectors (normalized) of A Show all of your work in each case. 2. Determine the equations of motion for the following system: 3. Determine the equations of motion for the following system using: a. the force acceleration method b. Lagrange’s equations Assume that the motion of the pendulum from the vertical position is small so that the damper remains approximately horizontal.

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Unformatted text preview: 4. The motion of an animal in the horizontal plane can be represented by a simple rigid body spring-mass model, as shown below. Considering that such an animal is actually bipedal, construct the equations of motion, using Lagrange’s equations, that govern the motion of the system when the left leg is down. Use ζ,ψ, θ as the generalized coordinates and use the law of cosines to express the spring length η in terms of the other variables. See figure on next page…...
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ME522HW1 - 4 The motion of an animal in the horizontal...

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