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MMath&Phys Mathematics and Physics / Course details
Year of entry: 2022
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Course unit details:
|Unit level||Level 1|
|Teaching period(s)||Semester 1|
|Available as a free choice unit?||No|
Late penalties for weekly Mastering Physics quizes
The weekly online quizzes will each contribute 1% of the marks when answered to a sufficient level (mark >40%). Late penalties apply as implemented in the software.
To introduce the fundamental concepts of Newtonian mechanics.
On completion successful students will be able to explain the role of, and solve problems involving, the following concepts:
1. frame of reference and its associated coordinate systems.
2. Newton's laws and the motion of simple systems.
3. energy, work, power, momentum, force, impulse, angular velocity, angular acceleration and torque.
4. conservation of energy, momentum, and angular momentum.
- Furthermore, they will be able to solve problems involving:
5. the rotation of rigid bodies.
6. motion in a gravitational field.
1: Motion in 2D and 3D 1
Position, velocity and acceleration as vectors; simple vector calculus.
Accelerated motion in 2D (canon ball and circular motion)
2: Motion in 2D and 3D 2
Description of motion using polar coordinates
Reference frames, relative velocity, change of frame.
3: Newton's Laws
Newton I, II and III; application to circular motion.
Static and Dynamic Friction (also, motion in a vertical circle).
5: Work and Energy
Work energy theorem, centre of mass, reduced mass.
7: Potential Energy
Forms of potential energy and their application.
8: Momentum and Collisions
Momentum and its conservation.
Elastic and inelastic collisions.
9: Rotation of Rigid Bodies 1
Rigid body rotation
The vector product
Moments of inertia and their calculation
Torque and Newton II
10: Rotation of Rigid Bodies 2
Rolling without slipping
Combining rotation and translation
Newton’s Law of Gravitation
Kepler’s Laws of Planetary Motion
Gravitational Potential Energy
Spherical mass distributions
|Written assignment (inc essay)||10%|
10% Weekly online
10% Tutorial Work/attendance
Feedback will be offered by tutors on students’ written solutions to weekly examples sheets, and model answers will be issued.
Online quizzes will also be incorporated into the weekly learning material to give students instant feedback on their understanding and ability to apply their knowledge and skills.
Compulsory Text book
Young, H.D. & Freedman, R.A. University Physics (Addison-Wesley)
Forshaw, J.R. & Smith, A.G. Dynamics & Relativity (Wiley)
French, A.P. Newtonian Mechanics (Norton)
Halliday, D., Resnick, R. & Walker, J. Fundamentals of Physics (Wiley)
Kleppner, D. & Kolenkow, R. An Introduction to Mechanics (McGraw-Hill)
Tipler, P.A., Physics for Scientists and Engineers (W.H. Freeman and company)
Supplementary maths text
Tinker, M. & Lambourne, R. Further Mathematics for the Physical Sciences (Wiley)
|Scheduled activity hours|
|Assessment written exam||1.5|
|Practical classes & workshops||11|
|Independent study hours|
|Niels Walet||Unit coordinator|
|Timothy O'Brien||Unit coordinator|