Working with Vectors Vectors are used throughout mechanics to describe forces and motion How are Vectors used in Mechanics? Vector questions are often embedded in a Mechanics context Vectors will ...
Modelling Assumptions What is modelling in Mechanics? Mechanics uses modelling to solve problems in real life situations We use assumptions to simplify real life problems in order to turn them into...
Types of Force What is a force? A force is a vector quantity, it has both magnitude and direction A force is a push or a pull on an object A force is measured in Newtons In A level mathematical mod...
Derived Units What are derived units? Derived units for quantities such as velocity, acceleration and force etc. are combinations of S.I. units Speed or Velocity = distance ÷ time = m/s or m s-1 (V...
Fundamental Units What are fundamental units? Fundamental units or S.I. units are the international standardised units used around the world The three main units you will be using are: Length measu...
Scalars & Vectors Mechanics uses a variety of different scalar and vector quantities. What are scalars? Scalars are quantities without direction, they only have a size (magnitude) e.g. a speed ...
Proof by Induction - Sequences What are the steps for proof by induction with sequences? STEP 1: The basic step Show the result is true for the base case If the recursive relation formula for the n...
Intro to Proof by Induction What is proof by induction? Proof by induction is a way of proving a result is true for a set of integers by showing that if it is true for one integer then it is true f...
Damped or Forced Harmonic Motion What is damped harmonic motion? If we add a term representing a resistive force to the simple harmonic motion equation, the new equation describes a particle underg...
