Module Specifications.
Current Academic Year 2024 - 2025
All Module information is indicative, and this portal is an interim interface pending the full upgrade of Coursebuilder and subsequent integration to the new DCU Student Information System (DCU Key).
As such, this is a point in time view of data which will be refreshed periodically. Some fields/data may not yet be available pending the completion of the full Coursebuilder upgrade and integration project. We will post status updates as they become available. Thank you for your patience and understanding.
Date posted: September 2024
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Description This module is a mathematical introduction to classical mechanics. The student will learn about the principles of linear and angular momentum, work and energy. These will be used mathematically model physical problems. The application of the theory of central forces to satellite motion is emphasized. | |||||||||||||||||||||||||||||||||||||||||||
Learning Outcomes 1. Compute kinematical quantities such as velocity, angular velocity and centre of mass. 2. State fundamental principles of linear momentum, angular momentum, and work/ energy 3. Derive equations of motion from balance of linear momentum for standard systems such as projectiles, linear oscillators, planetary orbits and pendula 4. Solve equations of motion of projectiles, pendula and oscillators 5. Explain mathematical modelling of satellite motion, using deduction of Kepler's three laws from Newton's laws of motion and gravitational, as prototype 6. Derive equations of motion rigid bodies, and solve simple problems | |||||||||||||||||||||||||||||||||||||||||||
All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml |
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Indicative Content and Learning Activities
Kinematics Velocity, acceleration, polar coordinates Mechanics of single particle forces; principle of linear momentum for free particle; examples involving projectiles, linear oscillators and pendula, simple pendulum; work, power, conservative forces and energy; examples Central forces Central forces; Kepler s laws; application to motion of planets, comets and satellites Mechanics of finite systems Balances of linear and angular momentum for finite systems of particles; centre of mass, reactions, two-body problem Rigid Body Mechanics Moving frames of reference, angular velocity, inertia tensor, planar applications, tops | |||||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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Other Resources None | |||||||||||||||||||||||||||||||||||||||||||