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### Course Overview

The course introduces the following basic concepts of the classical mechanics:

Newtonâ€™s laws of motion;

the motion of projectiles with and without air resistance;

the theory of simple vibrations and, in particular, simple harmonic motion;

the concepts of momentum, angular momentum, energy and corresponding conservation laws;

an inertial frame and related Galilean transformations;

systems of particles with and without collisions;

Recommended to mathematicians and physicists.

### Course Details

Study Type Level Undergraduate 3 First Sub Session 15 credits (7.5 ECTS credits) None. No Dr Francisco Perez-Reche

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### Course Description

• Air Resistance Revision of the basic ideas of Newtonian mechanics and application to particles moving under gravity.
• The effect of air resistance and the idea of terminal velocity.
• Oscillations The theory of oscillations of one-dimensional systems. Hooke's law for springs. Free vibrations, damped vibrations and forced vibrations. The concept of resonance.
• Momentum and Angular Momentum Definitions and basic concepts. Rate of change of angular momentum equals moment.
• Conservation laws. Motion under a central force. Newton's law of gravity.
• Energy and Potentials Force fields. Gradient of a scalar function. Consevative force fields and potentials.
• Consevation of energy.
• Applications.
• Inertial frames The basic ideas of inertial frames and a brief discussion of Galilean transformations.
• Systems of Particles Centre of mass, the motion of the centre of mass. Total angular momentum of a system of particles. Closed systems.
• Two body problem.
• Collisions Elementary theory. Conservation of momentum. Elastic collisions and conservation of energy.
• Simple applications.

In light of Covid-19 this information is indicative and may be subject to change.

### Contact Teaching Time

Information on contact teaching time is available from the course guide.

### Summative Assessments

1st Attempt: 1 two-hour written examination (80%); in-course assessment (20%). Resit: 1 two-hour examination (maximum of 100% resit and 80% resit with 20% in-course assessment). Only marks gained on first sitting can be used for Honours classification.

### Formative Assessment

Informal assessment of weekly homework through discussions in tutorials.

### Feedback

In-course assignments will normally be marked within one week and feedback provided to students in tutorials. Students will be invited to contact Course Coordinators for feedback on the final examination.

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