M2 Tutorials

Motion of a Projectile

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 'Show that' questions (part 1)
  9. Projectile motion 'Show that' questions (part 2)
  10. Projectiles - "Show that" questions (part 3) - Particles colliding

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

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

Uniform Laminas

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

Composite Laminas

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

Wire Frameworks

  1. Wire framework consisting of a rectangle and triangle

Hanging and Toppling Problems

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

Exam Questions – Centre of Mass

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

Circular motion

Angular Speed and Acceleration

  1. Angular speed and acceleration

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

Hooke’s Law

Hooke’s Law

  1. Hooke's law

Energy Stored in an Elastic String or Spring

  1. Energy stored in an elastic string or spring

Linear motion under a variable force

Variable Forces

  1. Particle moving in a straight line under a variable forces