A-Level AQA Mechanics Maths Videos

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General

Formulae Booklet

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

Magnitude of a vector

Distance between two points

Kinematics - Constant Acceleration

Displacement and Displacement Time Graphs

What is displacement?

How to draw 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

Book falling from a shelf

Stone thrown upwards from the ground

Ball thrown upwards from a balcony

Velocity Time Graphs

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

Constant Acceleration Vectors

Constant acceleration vectors

Statics of a Particle

Mass & Weight

What's the difference between mass and weight?

Force Diagrams

Newton's 3rd law (N3L)

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

Equilibrium

Equilibrium of a particle

Friction

Friction - example 1

Friction - example 2

Equilibrium of a Rigid Body

Moments

Horizontal rod on one support

Horizontal rod on two supports

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

Dynamics

Newton's Law of Motion (F = ma)

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

Lift Problems

Forces on a lift and particle

Connected Particles

Vertical strings over a smooth pulley

Smooth table with pulley

Projectiles

Projectiles

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

Kinematics 2

Linear motion

Linear motion with variable acceleration

Position, velocity and variable acceleration vectors

Summary example: variable acceleration vectors

Working backwards using integration methods