– Analyze the spatial mass distribution of a rigid body (inertia matrix, center of mass).
Newton’s first law of motion for a system of rigid bodies:
– Determine the linear and angular momentum and their time derivatives using screw theory
– Determine a solving strategy to apply the first law (systems of interest, equations to be used)
– Determine mechanical actions or differential equations of motion by applying the first law
Work-energy theorem for a system of rigid bodies:
– Calculate the kinetic energy of a body in motion (rotation, translation, helical motion)
– Determine the power of external forces and contact forces
– Derive an equation of motion or determine a force using the work-energy theorem (WET)