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Video Tutorials
Vectors
Vector Basics (2D)
- What are vector and scalar quantities?
- Vector notation
- Position vectors
- Equal and negative vectors
- Multiplying a vector by a scalar
- Addition and subtraction
- Adding and subtracting with vectors
- Examples: 1 | 2
- Magnitude of a vector
- Distance between two points
- Unit vectors
Kinematics - Constant Acceleration
Displacement and Displacement Time Graphs
Motion in a Straight Line
- Motion in a straight line with constant acceleration (suvat)
- Horizontal motion with constant acceleration 1
- Horizontal motion with constant acceleration 2
- Vertical motion under gravity
- Exam questions
Velocity Time Graphs
Velocity Vectors
- Calculating speed and bearing
- Speed and bearing worked example
- Calculating a velocity given speed and direction
- Velocity from speed and direction worked example
- Calculating the position vector after time t
- Velocity as the rate of change of position
- Exam questions
Constant Acceleration Vectors
Statics of a Particle
Mass & Weight
Force Diagrams
Resolving Forces
- Resolving forces
- Two forces at an angle
- Two forces at an angle - example
- Three forces at an angle
- Three forces at an angle - example 1
- Three forces at an angle - example 2
- Exam questions
Equilibrium
Friction
Equilibrium of a Rigid Body
Moments
- Introduction
- Horizontal rod on one support
- Horizontal rod on two supports
- Tilting beams
- Moment of a non-perpendicular force
- Moment of a non-perpendicular force - example
- Ladder leaning against a smooth wall and floor
- Ladder leaning against a smooth wall and a rough floor
- Exam questions
Dynamics
Newton's Law of Motion (F = ma)
- Introduction
- Motion on a rough horizontal plane
- Force applied to a particle on a rough horizontal plane
- Force at an angle requiring splitting a force into components
- Particle being projected along a horizontal plane
- Motion on a smooth inclined plane
- Particle sliding down a smooth plane
- Particle being pulled up a slope by a rope at an angle with constant speed
- Particle projected up a smooth inclined plane
- Motion on a rough inclined plane
- Exam questions
Lift Problems
Connected Particles
Projectiles
Projectiles
- Introduction
- Particles projected from above ground
- Particle projected at an upward angle
- Particle projected at a downward angle
- Particle projected horizontally
- Speed and direction at a given time
- Cartesian equation of trajectory
- Exam questions
Kinematics 2
Motion with Variable Acceleration
Worked Papers
M1
- June 2015
- June 2014
- June 2013
- January 2013
- June 2012
- January 2012
- June 2011
- January 2011
- June 2010
- January 2010
- June 2009
- January 2009
- June 2008
- January 2008
Only a few questions on the following papers apply to the current specification.
M2
For worked papers, see the top of this section.