PH3152: Analytical Mechanics - NPS Online
Overview
Dynamics of systems of particles, including rockets. Hamilton's principle, Lagrangian dynamics, and the role of physical symmetry. Velocity-dependent potentials. The inertia tensor and rotational dynamics of rigid bodies. Small-amplitude oscillations of systems of particles, and normal modes.
Included in Degrees & Certificates
- 299
Prerequisites
- PH2151
Learning Outcomes
Upon successful completion of this course the student will:
- Understand non-inertial systems, centrifugal force, Coriolis force, and non-inertial effects.
- Apply non-inertial effects to calculate systems behavior in non-inertial frames.
- Apply non-inertial and drag force effects to calculate realistic ballistic curves through numerical analysis.
- Understand key concepts in rigid body rotation. Predict behavior based on determination of principal axes and principal moments of inertia, and the application of known theorems.
- Analyze mechanical systems from the viewpoint of rigid body techniques, to determine potential instability and recommend fixes.
- Understand and apply Lagrangian mechanics techniques to solve constrained problems.
- Understand and analyze coupled oscillators to calculate normal frequencies and normal modes, producing both general and specific solutions based on initial conditions.
- Understand and apply Hamiltonian mechanics techniques to solve constrained problems.
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