Immacolata Merola. Course Objectives This course aims to enable the students to understand Classical and Analytical Mechanics and to handle the most important related mathematical tools. Course Content Principles and mathematical formulation.
One-dimensional systems. Motion under central forces.
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N-points systems. Constrained systems.
Lagrange equations. Hamiltonian systems. Canonical transformations. Small oscillations of Lagrangian systems. Variational principles.see url
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The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. Review of vector algebra and calculus Scalar and vector products, mixed products, double vector products and their properties.
Derivatives and integrals of vector functions. The gradients. The rotation matrices.
Center of a system of parallel applied vectors. Rigid systems, Euler angles. Scalar and vector velocity and acceleration. Motions in a plane. Central motions. Intrinsic systems of references.
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Possible and virtual velocities. Fixed and mobile constaints. Velocities and accelerations in a rigid motions.
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Different kinds of rigid motions. Plane rigid motions. Galileian equivalence.