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