Laws of Indices What do I need to know about laws of indices? Laws of indices (or index laws – 'index' is the singular, 'indices' is the plural) allow you to simplify and manipulate expressions inv...
Proof by Contradiction What is proof by contradiction? A proof by contradiction assumes the opposite result is true Then, through a series of logical steps, shows that this cannot be so How do I do...
Disproof by Counter Example What is disproof by counter-example? Disproof by counter-examples involves finding a value that does not work for the given statement That value is called a counter-exam...
Proof by Exhaustion What is proof by exhaustion? Proof by exhaustion is a way to show that the desired result works for every allowed value How do I prove a result by exhaustion? Using proof by exh...
Proof by Deduction What is proof by deduction? Proof by deduction is when a mathematical and logical argument is used to shows whether or not a result is true How to do proof by deduction Y...
Language of Proof What is proof? Proof is a series of logical steps which show whether a result is true or not for a set of specified numbers e.g. All intigers, all even numbers etc Notation in pro...
Moments - Ladder Problems How do I model ladder problems? We can model the ladder as a rod There will be two (likely different) reaction forces a vertical reaction force Rf between the bottom of th...
Tilting What does it mean if a rod is on the point of tilting? A rod will tilt (rotate) about a pivot if the resultant moment about that pivot is non-zero Examples of tilting: A person walking a pl...
Uniform Rods & Laminae What is meant by the centre of mass of an object? The centre of mass of an object is the point at which the weight of the object may be considered to act For a uniform ob...
