24156 Classical Mechanics

Course Description

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

Learning Objective

  • • 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

Credits

    3

Books for this Course

  • Vector Mechanics for Engineers Statistics and Dynamics, K.K.Chaudhry,7th edition

Times Offered

  • September
  • January

Course Prerequisite

Faculty

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