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M2 Tutorials

M2 Tutorials – AQA A Level Maths

Contents

Kinematics
Motion with Variable Acceleration
Equilibrium of a Rigid Body
Moments
Centre of Mass
A System of Particles
Uniform Laminas
Composite Laminas
Wire Frameworks
Hanging and Toppling Problems
Exam Questions
Circular Motion 1
Angular Speed and Acceleration
Motion in a Horizontal Circle
Work Energy and Power
Work done by a Force
Energy
Conservation of Mechanical energy-Work Energy Principle
Power
Exam Questions
Elastic Strings and Springs
Hooke’s Law
Energy Stored in an Elastic String or Spring
Circular Motion 2
Motion in a Vertical Circle

Kinematics

Motion with variable acceleration

  1. Linear motion with variable acceleration
  2. Exam Questions - Linear motion with variable acceleration
  3. Position, velocity and variable acceleration vectors
  4. Working backwards using integration methods
  5. Exam Questions - Variable acceleration using vectors

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Equlibrium of a rigid body

Moments

  1. What is the moment of a force?
  2. Horizontal beams in equilibrium resting on supports
  3. Exam Questions - Moments horizontal beams
  4. Tilting beam
  5. Exam Questions - Moments tilting beam
  6. Moment of a non-perpendicular force
  7. Moments - Ladder problems

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Centre of Mass

A System of Particles

  1. Centre of mass of a system of particles in a line
  2. Centre of mass of a system of particles in a plane

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Uniform Laminas

  1. Centre of mass of a uniform lamina that has lines of symmetry
  2. Triangular laminas
  3. Sectors and semi-circles

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Composite Laminas

  1. Rectangles
  2. Rectangle + triangle
  3. Rectangle + semi-circle
  4. Rectangle with circle removed

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Wire Frameworks

  1. Wire framework consisting of a rectangle and triangle

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Hanging and Toppling Problems

  1. Freely hanging suspended lamina
  2. Lamina toppling on an inclined plane

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Exam Questions – Centre of Mass

  1. Exam Questions - Centre of mass of laminas
  2. Exam Questions - Centre of mass of wire frameworks

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Circular motion 1

Angular Speed and Acceleration

  1. Angular speed and acceleration

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Motion in a Horizontal Circle

  1. Conical pendulum
  2. Particle moving on the inside of a cone
  3. Particle moving on the inside of a hemispherical shell
  4. Car moving around a banked track

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Work, Energy and Power

Work done by a force acting on a particle

  1. Moving in the horizontal plane with and without friction
  2. Moving in the vertical plane against gravity
  3. Moving up a rough inclined plane against friction and against gravity

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Energy

  1. Gravitational potential energy
  2. Kinetic energy

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Conservation of mechanical energy / Work-Energy Principle

  1. Conservation of energy / work energy principle
  2. Motion down a smooth plane
  3. Motion down a rough plane
  4. Motion down an undulating slope
  5. Exam Questions - Work Energy Principle

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Power

  1. Calculating the power developed by an engine
  2. Car accelerating along the horizontal and then up a hill
  3. Exam Questions - Power

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Exam Questions – Work, Energy and Power

  1. Exam Questions - Work, energy and power

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Elastic Strings and Springs

Hooke’s Law

  1. Hooke's law

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Energy Stored in an Elastic String or Spring

  1. Energy stored in an elastic string or spring

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Circular motion 2

Motion in a Vertical Circle

  1. Motion of a particle on a light inextensible string
  2. Particle on the outer surface of a sphere

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