Applied Maths

When revising, avoid reading and try to do as many questions as possible. It doesn't matter if you get the wrong answers - so long as you have the right methods. If you get stuck, ask someone else how to do it: a teacher, the class brainbox or even e-mail this website for help.

Notes from PDST

Moments of inertia article

http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html

Review: This is an excellent learning resource, defining all concepts with relative ease. Nice summary of Rotational-Linear Parallels on page 1. This topic exceeds the course requirements though. However, there is a very useful link back to the Hyperphysics main menu - where maths and Physics are linked well.

Graphic showing moment of inertia concepts

http://hyperphysics.phy-astr.gsu.edu/hbase/inecon.html

Review: This site is another branch of the Hyperphysics website. It tackles the perpendicular Axis Theorem and Parallel Axis Theorem very well. The graphics really assist one to get to grips with the theory.

Moments of inertia tutorial

http://www.freestudy.co.uk/dynamics/moment%20of%20inertia.pdf

Review: Comprehensive revision notes for Moments of Inertia, detailing all notes taken in class. No animations or other visual effects and a lot of notation but good for those experienced in the topic.

Moments of inertia associated with a golf club

http://golf.about.com/od/faqs/f/moi.htm

Review: A factual account of moments of intertia with a short synopsis of the facts. No major mathematical reasoning but good for an initial introduction and ideas on how to get the class going.

Adding vectors in component form.

Shows sum of three adjustable vectors. Can adjust magnitude and direction.

http://www.geogebra.org/en/upload/files/nikenuke/vectors02.html

Review: Nice animation of resultant vectors though there is some complicated looking functions present which will need to be ignored.

NASA site on ground speed, air speed and relative velocity.

http://www.grc.nasa.gov/WWW/K-12/airplane/move.html

Review: Shows the effect of wind and has a number of different options to make it very interesting how a plane interacts with the wind.

Tutorial on relative velocity

http://www.wiziq.com/tutorial/19847-Relative-Velocity

Review: A youtube style presentation slideshow on relative velocity.

A chapter from a book. It deals with motion and relative velocity.

http://www.lightandmatter.com/html_books/1np/ch02/ch02.html

Review: More reference that class resource but handy if there is more information required

NRICH website - problems in relative velocity

http://nrich.maths.org/public/leg.php?code=-85

Resources from NRICH on topics in mechanics.

http://nrich.maths.org/public/leg.php?group_id=27

http://nrich.maths.org/public/leg.php?group

This is more geared towards the maths curriculum. Its aim is to provide challenging problems to inspire students and teachers. The mechanics section does provide

interesting ideas and practical senarios to broaden students knowledge of mechanics. However, the mathematical aspect is challenging for students. Worth a read through though for potential quiz material and games. There are nice little interactive demonstrations on Moments.

Good site for flat one dimensional collisions.

http://hyperphysics.phy-astr.gsu.edu/hbase/col1d.html

Review: This is a web page dealing with collisions in one dimension. It shows a before and after diagram. There are input fields for entering m1, u1, m2, u2 and v1. It calculates the total momentum and total KE before impact. It then works out v2 and the total KE after impact. You can use it to work out problems from the text book but must take some precautions:

(i) the diagram shows the masses travelling in opposite directions but you must still enter opposing velocities using opposite signs.

(ii) you must label as m1 that mass whose before and after velocities are given, not the mass which is first mentioned in the question.

Very good general knowledge site on physics. The interactive and visual aspect is good for clear explanations of terms for students. The interactive links puts them into context and provides clear flow charts to crosslink topics. The conservation of momentum section is good and enables students to experiment with collisions of different masses and velocities. On the whole the majority of the website would be more useful as a revision tool for students to test their knowledge.

Compound pulley, excellent demonstration

http://www.edumedia-sciences.com/en/a464-pulleys

Review: This is not a free site, subscription required. There is a trial version to try online but you must be quick about it. If you linger even for a few seconds it forces you into a subscription page. However when you do manage to get the trial version running the graphics are very good. It shows the contrast between using a single pulley system and a double pulley as regards the force required to lift a weight and the distances moved. Would not recommend it though as it's not free and it's too much hassle trying to avoid the subscription page.

Good site for two object moving, relative distance between them.

http://www.surendranath.org/Applets/Kinematics/RelMotion/RelMotionApplet.html

Energy PE and KE

http://techtv.mit.edu/collections/physicsdemos/videos/10508-loop-the-loop

Review: This is an excellent demonstration of a ball attempting to loop the loop.

It eventually determines the exact height and then proceeds to explain why

this is the minimum height required to cause the effect.

Relative Motion

http://techtv.mit.edu/genres/32-science/videos/3221-relative-motion-gun

Review: This is a class 30 second video showing relative motion at work.

Physics Games and Simulations

www.mrmont.com

Good interactive games for students to investigate: Projectile Motion, Relative Motion, Circular Motion

Click A level Maths Tutorials – M1 Mechanics.

www.examsolutions.co.uk

A level video tutorials on mechanics topics. Basic examples but good for student revision.

Resources for mechanics.

www.materialworlds.com

Experiments and simulations , Solar System, Collisions, Laws Of Motion, Structures

a physics experiment simulation site

with many applied maths problems simulated too.

http://www.mathsphysics.com/

GEOGEBRA

NCE-MSTL - very good set of workshop manuals. You must be a member to download them.

http://www.nce-mstl.ie/index.php?option=com_remository&Itemid=79&func=select&id=46

A very good tutorial series from Guillermo Bautista in the Philippines.

http://mathandmultimedia.com/geogebra/

Some Youtube videos by Linda Fahlberg here

http://geogebrawiki.wikispaces.com/YouTube+Videos

11. Motion of a rigid body about a fixed axis:

(a) Calculation of moments of inertia for a rod, rectangular lamina, circular lamina and compound bodies formed of those. (Sphere is excluded). Application of parallel and perpendicular axes theorems, with proofs done as classwork. Idea of radius of gyration. Application of the conservation of energy principle to a rotating body.

Exams

subject plan