Full Web Bundle
Getting Started
- 1 JISC / HEA Open Educational Resources (OER)
- 2 About this material
- 3 Supported Web Browsers for Displaying Mathematics
Course Handbook
- S0 The Tools of the Trade
- S1 Space and Time
-
S2 Force Mass and Motion
- S2.1 Inertial reference frames: Newton`s 1st Law
- S2.2 Force and mass: Newton`s 2nd and 3rd laws
- S2.3 How to use Newton`s Laws
- S2.4 Classification of forces
- S2.5 Gravitational force near the earth`s surface
- S2.6 Normal contact force
- S2.7 Tension
- S2.8 Frictional force
- S2.9 Linear restoring force
- S2.10 The centripetal force
- S2.11 The gravitational force
- S2.12 Electrostatic forces
- S2.13 Fictitious forces
- S3 Energy and Work
- S4 Linear Momentum
-
S5 Angular Momentum
- S5.1 Linear and rotational motion
- S5.2 Angular positions, velocities and accelerations
- S5.3 Relations between angular and linear quantities
- S5.4 Constant acceleration equations
- S5.5 Kinetic energy of a rotating body: moment of inertia
- S5.6 Torque
- S5.7 Angular momentum
- S5.8 Angular momentum conservation
- S6 Oscillations
Course Questions
- Q1 The Tools of the Trade
- Q2 Space and Time
- Q2.1 The meaning of derivatives and integrals
- Q2.2 Vertical motion under gravity
- Q2.3 The trajectory equation
- Q2.4 Projectile motion
- Q2.5 Steep and shallow trajectories
- Q2.6 A consolidation exercise
- Q2.7 Centripetal acceleration
- Q2.8 Average acceleration
- Q2.9 Trajectory curvature
- Q2.10 Centripetal and tangential acceleration
- Q2.11 Relative velocities 1
- Q2.12 Relative velocities 2
- Q2.13 Choosing a speed limit
- Q3 Force Mass and Motion
- Q3.1 Forces are vectors
- Q3.2 Forces and accelerations
- Q3.3 Choosing the right system
- Q3.4 Misapplying the Third Law
- Q3.5 Actions and reactions
- Q3.6 Normal contact force
- Q3.7 Tension and normal forces
- Q3.8 Tensions
- Q3.9 Frictional forces
- Q3.10 Banking on friction
- Q3.11 G and g
- Q3.12 Geostationary orbits
- Q3.13 Balancing electrostatic forces
- Q3.14 Inside the nucleus
- Q3.15 Zero net field
- Q3.16 Perspectives
- Q3.17 The Principle of Equivalence
- Q4 Energy and Work
- Q4.1 Work, force and displacement I
- Q4.2 Work, force and displacement II
- Q4.3 Work as an integral
- Q4.4 Power
- Q4.5 Work and kinetic energy I
- Q4.6 Work and kinetic energy II
- Q4.7 Variable force
- Q4.8 Conservative forces
- Q4.9 Force and potential energy
- Q4.10 Ski Lift
- Q4.11 Gravitational escape energy
- Q4.12 Kinetic and potential energy
- Q4.13 Energy conservation .... in disguise
- Q4.14 Lift Off
- Q4.15 Balance
- Q4.16 Non-conservative forces
- Q4.17 Dissipation
- Q5 Linear Momentum
- Q5.1 Calculating the centre of mass I
- Q5.2 Calculating the centre of mass II
- Q5.3 Making use of the centre of mass I
- Q5.4 Kinetic energy and linear momentum
- Q5.5 Making use of the centre of mass II
- Q5.6 Wait for weight
- Q5.7 A simple collision
- Q5.8 Two spheres colliding
- Q5.9 Road Accident
- Q5.10 A reprise on problem solving
- Q6 Angular Momentum
- Q6.1 Rotating wheel
- Q6.2 Visualising angular velocities
- Q6.3 Injuns!
- Q6.4 Watermelon Seed
- Q6.5 Angular acceleration
- Q6.6 Translational and rotational motion
- Q6.7 Torque
- Q6.8 Torque and angular acceleration
- Q6.9 Slowing flywheel
- Q6.10 Spot the difference
- Q6.11 Angular momentum
- Q6.12 Stop the earth, I want to get off!
- Q6.13 Torque and angular momentum
- Q6.14 Skaters
- Q6.15 Roundabout
- Q7 Oscillations
- Q7.1 Kinds of equilibrium
- Q7.2 Taylor series expansion
- Q7.3 The SHM equation
- Q7.4 Visualising SHM behaviour
- Q7.5 Finding the amplitude and phase: initial conditions
- Q7.6 Thinking about SHM
- Q7.7 Consolidation exercise
- Q7.8 Horizontal Mass Spring System
- Q7.9 A different mass-spring system?
- Q7.10 Still more mass-spring systems
- Q7.11 Thinking about the pendulum
- Q7.12 Swinging stick
- Q7.13 Swinging leg
- Q7.14 Bouncing a ball
- Q7.15 Energy in SHM
- Q7.16 Water oscillations in a U-tube
- Q7.17 Consolidation exercise
- Q7.18 Damping
- Q7.19 Resonance: the downside
Self Tests
- ST1 The Tools of the Trade
- ST2 Space and Time
- ST2.1 Acceleration and Displacement (1)
- ST2.2 Free-Fall Ball (1)
- ST2.3 Constant Acceleration
- ST2.4 Displacement and Acceleration (1)
- ST2.5 Displacement and Distance
- ST2.6 Derivatives and Slopes
- ST2.7 Displacement versus time
- ST2.8 The Acceleration Vector for a Pendulum
- ST2.9 Speed and acceleration rolling down a hill.
- ST2.10 Velocity and Acceleration Possibilities
- ST2.11 Projectile Trajectory
- ST2.12 Maximum Height
- ST2.13 Projectile Motion on the Moon
- ST2.14 Time of Flight
- ST2.15 Velocity and Acceleration of a Ball
- ST2.16 Centripetal Acceleration
- ST2.17 Relative Velocities (1)
- ST2.18 Relative Velocities (4)
- ST2.19 Separation of Two Dropped Balls
- ST3 Force Mass and Motion
- ST3.1 Actions and reactions
- ST3.2 Books on Table (1)
- ST3.3 Force and Acceleration
- ST3.4 Odd One Out
- ST3.5 Scales on a Lift (2)
- ST3.6 Force and Acceleration of Three Blocks (2)
- ST3.7 Interaction Forces of Two Bodies
- ST3.8 The normal contact force
- ST3.9 Supported by Tension
- ST3.10 Increasing Tension?
- ST3.11 Tug of war
- ST3.12 Hanging rock
- ST3.13 Box on rug
- ST3.14 Along and Up
- ST3.15 Force of friction
- ST3.16 Coefficient of Kinetic Friction
- ST3.17 Maximum Frictional Force
- ST3.18 Visualizing a Linear Force
- ST3.19 Not quite a linear force
- ST3.20 Centripetal Force
- ST3.21 Going Slack
- ST3.22 Upside down
- ST3.23 Tension and Centripetal Acceleration
- ST3.24 Forces
- ST3.25 Units of G
- ST3.26 Acceleration due to gravitational force law
- ST3.27 Satellite Motion (1)
- ST3.28 Gravitational Force Due to More Than One Body.
- ST3.29 Three Charges
- ST3.30 A field of charges
- ST3.31 Frames of reference
- ST4 Energy and Work
- ST4.1 Barbell Lifter
- ST4.2 Biggest Work
- ST4.3 Uphill Struggle
- ST4.4 Rocks, Rocks, Rocks
- ST4.5 Work Done By Gravity
- ST4.6 Strange Rubber Band
- ST4.7 Work, Power and Kinetic Energy
- ST4.8 Power
- ST4.9 Power and Work
- ST4.10 Lifts
- ST4.11 Kinetic Energy - Comparing Values
- ST4.12 Two Trailers and Their Energies (1)
- ST4.13 Galileo's Experiment?
- ST4.14 Work and Kinetic Energy
- ST4.15 Mass and Weight and Kinetic Energy
- ST4.16 Stopping Different Masses
- ST4.17 Work and Energy
- ST4.18 Signs of Work (2)
- ST4.19 Force and Potential Energy (2)
- ST4.20 Force and Potential Energy (2)
- ST4.21 Earth and Planet Zog
- ST4.22 Going Up!
- ST4.23 Throwing Stones
- ST4.24 Dangerous Sports
- ST4.25 Conservative Force (2)
- ST4.26 Pendulum Energy (2)
- ST5 Linear Momentum
- ST5.1 True or False?
- ST5.2 Great Atmosphere
- ST5.3 Circular Disk
- ST5.4 Constant Velocity
- ST5.5 Man in canoe
- ST5.6 Trainspotter
- ST5.7 Rollerskates
- ST5.8 Pulley
- ST5.9 Spring Blocks
- ST5.10 Center of Mass Velocity
- ST5.11 Multiple Balls
- ST5.12 Cars (1)
- ST5.13 Carts, carts, carts, carts (2)
- ST5.14 Ping-Pong Bowls (1)
- ST5.15 Leaking Train
- ST5.16 Car and Earth (1)
- ST5.17 Carts Again (1)
- ST5.18 Newton's Cradle
- ST5.19 Jumping, Jumping, Jumping!
- ST5.20 Ball Rocket
- ST5.21 Roller Blades (1)
- ST5.22 Silly Putty
- ST5.23 Truck Car Wreck
- ST5.24 Conundrum
- ST5.25 Choose Your Crash Carefully.
- ST5.26 Golf Bowl
- ST5.27 Decisions, Decisions
- ST6 Angular Momentum
- ST6.1 Watch It
- ST6.2 Ladybirds (1)
- ST6.3 Angular Acceleration
- ST6.4 Merry Go Round
- ST6.5 Halfway House (2)
- ST6.6 Rims (1)
- ST6.7 Halfway House (4)
- ST6.8 Muddy Road
- ST6.9 Flywheel
- ST6.10 Wheel
- ST6.11 Wheel Problem (1)
- ST6.12 Identical Balls (1)
- ST6.13 Solid Disk
- ST6.14 Doorknob
- ST6.15 Stone
- ST6.16 Torque on a Wheel
- ST6.17 Angular Momentum
- ST6.18 Angular Momentum Magnitude and Direction
- ST6.19 Cutting Loose
- ST6.20 Ice Skater
- ST6.21 Turning the Tables (1)
- ST6.22 Turning the Tables (3)
- ST6.23 Angular Acceleration and Torque
- ST7 Oscillations
- ST7.1 How long does it take?
- ST7.2 Taylor series
- ST7.3 Taylor series
- ST7.4 Here's to the next time!
- ST7.5 Frequency and angular frequency
- ST7.6 Acceleration in simple harmonic motion
- ST7.7 Keeping in step
- ST7.8 Period of oscillation
- ST7.9 Maximum displacement
- ST7.10 Maximum velocity
- ST7.11 Maximum acceleration
- ST7.12 Fundamentals of SHM
- ST7.13 Position and velocity
- ST7.14 What has changed
- ST7.15 Pendulum frequency
- ST7.16 Natural frequency
- ST7.17 Combinations of springs
- ST7.18 Spring constant
- ST7.19 Partitioning kinetic and potential energy
- ST7.20 Energy in SHM
- ST7.21 Potential energy in SHM
- ST7.22 A spring with mass
- ST7.23 Two oscillators
- ST7.24 Driven oscillations
- ST7.25 Shattering a glass
- ST7.26 spring and pendulum