9. Consider the motion of a uniform thin disk that is rolling without slipping on a...
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9. Consider the motion of a uniform thin disk that is rolling without slipping on a horizontal plane when a horizontal force is applied at its center. Determine the generalized force and derive Lagrange's equation of motion for disk. 10. Consider a particle of mass m moving in one dimension under the influence of a force F (x) p, where k is a positive constant. Compute the Lagrangian equation. 11. A particular mechanical system depending on two coordinates u and v has kinetic energy T v2ü2 + 2B, and potential energy U u2t'. Write down the Lagrangian for the system and deduce its equations of motion. 9. Consider the motion of a uniform thin disk that is rolling without slipping on a horizontal plane when a horizontal force is applied at its center. Determine the generalized force and derive Lagrange's equation of motion for disk. 10. Consider a particle of mass m moving in one dimension under the influence of a force F (x) p, where k is a positive constant. Compute the Lagrangian equation. 11. A particular mechanical system depending on two coordinates u and v has kinetic energy T v2ü2 + 2B, and potential energy U u2t'. Write down the Lagrangian for the system and deduce its equations of motion.
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9 To determine the generalized force and derive Lagranges equation of motion for a rolling disk we start with the kinetic energy of the disk The disk has both translational and rotational motion so it... View the full answer
Related Book For
University Physics with Modern Physics
ISBN: 978-0133977981
14th edition
Authors: Hugh D. Young, Roger A. Freedman
Posted Date:
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