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Prerequisite Knowledge & Key Points

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  • Solve Quadratic Equations by Factorization or Formula
  • Linear Simultaneous Equation
  • Equations of Constant Acceleration   (5 SUVAT)
  • Distance - time Graph   (Gradient) 
  • Velocity - time Graph   (Gradient, Area)
  • Pythagoras' Theorem
  • Trigonometry of Right-angled triangles
  • Sine Rule and Cosine Rule
  • Given one Trig Ratio, finding others
  • sine^2 x + con^2 x  (trig identity)
  •  tan x = sine x / cos x
  • Definition of Force, F=ma

  • Weight, w = mg

  • Reaction of Force or Normal

  • Resolution of Forces (Triangle Law of Vectors Addition)

  • Direction choices are usually Horizontally and Vertically, Parallel and Perpendicular to slope, or Parallel and Perpendicular to direction of motion

  • Resolving perpendicular to an unknown force means the unknown will not appear in the equation. 

  • When direction of acceleration is unknown, it is normally best to find components of a resultant force and use them to find direction of magnitude of resultant.

  • Force resolution and Newton Second Law

  • Limiting Friction and R, mu

  • Total contact force is the combination of normal contact force and friction

  • If situation becomes different because a force a force changes or direction of motion switches, the normal contact force may be affected, so the friction may change. It is best to draw a new diagram every time a different situation arises.             

  • Resolve forces in equilibrium and deal with non-equilibrium problems.

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  • Velocity is not the only measure of the MOTION OF AN OBJECT. We use acceleration to measure how quickly velocity is changing.

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  • Mid-Point and Length (Distance Formula) of Line Segment
  • Gradient of Parallel and Perpendicular Lines
  • Interpret  y-y1=m(x-x1) and y = mx + c (gradient, y & x - intercept)
  • Completing the Square and solve
  • Surds
  • Equations of Circle in Standard and General Form
  • Angle Properties of Circle
  • Discriminant
  • Simultaneous Equations (2 & 3)
  • Solution of Simultaneous Equations and Points of Intersection on Graph
  • Points that lie on graph can be put (Satisfy or Balance)  into its equation

Forces and Equilibrium

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Kinematics

Rectilinear Motion - Motion on only one co-ordinate axis along with time
  • Kinematics deals with equation that describe the motion of objects without reference to forces.

  • Dynamics is the study of effect that forces and their influence on motion of objects.

  • Motion equation can be used both in space and on the Earth. On earth, we make approximation since there are greater number of variables like friction and atmosphere that effect motion in various ways.

  • Acceleration always have constant value, positive, negative or zero, since we won't look forces that could cause acceleration to change over time.

  • At Rest and at maximum and constant speed, acceleration is zero.

  • In convention, Right and Upward is take positive directions.

  • In straight line motion, we ignore direction. So we use speed, distance instead of velocity and displacement.

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  • In swing, you need greater force in the start to produce velocity but later when speed in increased, less force is required.

  • Doing same work, a powerful man produce greater driving force, so it will take less time.

  • RPM represents the power of engine at particular gear.

  • At particular gear, greater force is required in the start to produce speed.

  • When speed is constant, driving force is equal to the Resistance Forces.