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Nonholonomic constraints, in particular rolling without slipping
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D’Alembert’s Principle of Virtual Work - Active Forces and Workless Constraint Forces
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- 1 Nonholonomic constraints, in particular rolling without slipping
- 2 D’Alembert’s Principle of Virtual Work.
- 3 Virtual work is the concept of the work done by the forces in moving them through an admissible virtual displacement. The constraint forces do no work, and so are called "workless constraints".
- 4 When we project Newton's 2nd Law into the admissible virtual displacement directions , we get some equations of motion which do not contain the constraint forces, only the active forces along the di…
- 5 We demonstrate this example on the pendulum, a single particle system, and then
- 6 formulate D’Alembert’s Principle of Virtual Work for a multiparticle system
