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Full exam for Mechanical Systems Dynamics in the Mechanical Engineering degree programme at Politecnico di Milano. The document covers: Mechanical System Dynamics Proff. Corradi, Melzi and Zasso 14th of July 2023 For the mechanical system in figure: 1) show the procedure for computing the natural frequencies and the mode shapes of the system; 2) provide the expression of the generalized force vector Q(t)

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Full exam for Mechanical Systems Dynamics in the Mechanical Engineering degree programme at Politecnico di Milano. The document covers: Mechanical System Dynamics Proff. Corradi, Melzi and Zasso 14th of July 2023 For the mechanical system in figure: 1) show the procedure for computing the natural frequencies and the mode shapes of the system; 2) provide the expression of the generalized force vector Q(t)

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Mechanical System Dynamics Proff. Corradi, Melzi and Zasso 14th of July 2023 For the mechanical system in figure: 1) show the procedure for computing the natural frequencies and the mode shapes of the system; 2) provide the expression of the generalized force vector Q(t) associated to the first n vibration modes, accounting for the imposed displacement z(t). <latexit sha1_base64="YSH61lYGl4cJvycHxm97EvyRTzE=">AAACAXicbVDJSgNBEO2JW4xb1IvgpTER9BJmBJeLIHrxpoJZIBlDT6eStPYsdNcIyRAv/ooXD4p49S+8+Td2kjmo8UHB470qqup5kRQabfvLykxNz8zOZedzC4tLyyv51bWKDmPFocxDGaqaxzRIEUAZBUqoRQqY70moendnQ796D0qLMLjGXgSuzzqBaAvO0EjN/Eaxv4O7x/2mTeEmuW1c+NBhFAfFZr5gl+wR6CRxUlIgKS6b+c9GK+SxDwFyybSuO3aEbsIUCi5hkGvEGiLG71gH6oYGzAftJqMPBnTbKC3aDpWpAOlI/TmRMF/rnu+ZTp9hV//1huJ/Xj3G9pGbiCCKEQI+XtSOJcWQDuOgLaGAo+wZwrgS5lbKu0wxjia0nAnB+fvyJKnslZyD0v7VXuHkNI0jSzbJFtkhDjkkJ+ScXJIy4eSBPJEX8mo9Ws/Wm/U+bs1Y6cw6+QXr4xtWpZWO</latexit> z(t)= z0ej⌦t

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