24156 Classical Mechanics
This course provides a detailed survey of mechanics.
Topics include: Particle and rigid bodies mechanics, Newton’s laws, static of a system of particle and rigid body, kinematics of rigid bodies and their relative motion, dynamics of particles and vibrating systems, moment of inertia, and dynamics of rigid bodies
- • state and apply Newton’s laws of motion for a point particle in one, two and three Dimensions
- • use the conservation of kinetic plus potential energies to describe simple systems and evaluate the potential energy for a conservative force
- • understand an impulse and apply the principle of conservation of momentum to the motion of an isolated system of two or more point particles
- • solve for the motion of a particle in a one-dimensional harmonic oscillator potential with damping and understand the concept of resonance in a mechanical system
- • derive the conservation of angular momentum for an isolated particle and apply the rotational equations of motion for external torques
- • solve for the motion of a particle in a central force, in particular that of an inverse square law, so as to describe planetary motion and Rutherford scattering
- • describe the motion of rigid bodies, particularly when constrained to rotate about a fixed axis or when free to rotate about an axis through the centre of mass
- • calculate the moments of inertia of simple rigid bodies and use the parallel and perpendicular axes theorems
- • appreciate the influence of external torques on a rotating rigid body.
- • understand the basic properties of fluid mechanics, particularly hydrostatics and elementary aspects of fluid dynamics
Books for this Course
- Vector Mechanics for Engineers Statistics and Dynamics, K.K.Chaudhry,7th edition