M2 Tutorials – OCR A Level Maths

Contents

Kinematics
Projectiles
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
Collisions and Impulse
Momentum and impulse
Newton’s Law of Restitution
Uniform Circular Motion
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

Kinematics

Projectiles

  1. Projectiles
  2. Particle projected at an upward angle from a height above ground
  3. Particle projected at a downward angle from a height above ground
  4. Particle projected horizontally from a height
  5. Finding the speed and direction at a given time
  6. Equation of the trajectory of a projectile
  7. Exam Questions - Projectiles
  8. Projectile Motion (hitting targets)
  9. Projectile motion 'Show that' questions (part 1)
  10. Projectile motion 'Show that' questions (part 2)
  11. Projectiles - "Show that" questions (part 3) - Particles colliding

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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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Collisions and Impulse

Momentum and impulse

  1. Collisions and the conservation of linear momentum
  2. Two particles colliding and then separating
  3. Two particles colliding and moving off as one particle
  4. A bullet being fired from a gun
  5. Exam Questions - Momentum

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Newton’s Law of Restitution

  1. Newtons law of restitution (experimental law)
  2. Collision between two particles
  3. Collision with a fixed surface
  4. Exam Questions - Newton's law of restitution

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Uniform Circular Motion

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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