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Unformatted text preview: small roll rotations, θ , and derive the equation(s) of motion using Lagrange’s equations. Assume that the dryer supports are always in contact with the ground. Describe the effects of changes in a and b as well as changes in K and C for different supports. 3 PROBLEM 3 (30%) A crane of mass, M, with mass moment of inertia, I cm , is shown below moving a crate of mass, M c . An applied torque, τ , at the base of the crane at point O positions the crane, which is a distance, r, away from the end of the crane. Assume that the cable has stiffness, K, which suggests that the cable can extend while remaining in tension at all times. Model the vibrations of the cranecrate system in the plane of the page and derive the equation(s) of motion using Lagrange’s equations....
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 Fall '09

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