Mechanics 2

Solid kinematics


Reminders on rotation


From Varignon's formula to the law of velocity transport.


Composition of rotation vectors


Conditions for rolling without sliding.




Solid kinetics


Center of inertia: system of points, generalization to the solid.


Moment of inertia about an axis: system of points, generalization to the solid.


Reminder: Law of transport of angular momentum.


Huygens' theorem (parallel axes)


Example of application.




Fundamental principle of dynamics applied to solids


Statics


Dynamics




energy of a solid


kinetic energy - barycentric kinetic energy.


potential energy of gravity and elasticity


Work and power of a force


Law of kinetic energy and law of kinetic power in a Galilean frame of reference.


Law of mechanical energy and law of mechanical power in a Galilean frame of reference.