Further MathsFurther Applied Mathematics
Further mechanics
Momentum, impulse, collisions, centres of mass, elastic systems, and resistance.
123 worksheets125 questions
Practise
Practice moves from direct fluency towards application, reasoning and synthesis.
- Intro
Momentum, impulse, and direct collisions
Step 1 · 15 worksheets · 15 questions
- Collision Of Two ParticlesKinematics · 1 questionPractise in MathLab →
- Impulse And Kinetic EnergyKinematics · 1 questionPractise in MathLab →
- Impulse And Perfectly Elastic CollisionKinematics · 1 questionPractise in MathLab →
- Impulse Magnitude And AngleKinematics · 1 questionPractise in MathLab →
- Impulse Magnitude And DirectionKinematics · 1 questionPractise in MathLab →
- Direct Collision With ImpulseKinematics · 1 questionPractise in MathLab →
- Elastic Collision Of Two ParticlesKinematics · 1 questionPractise in MathLab →
- Collision With Particles Moving ApartKinematics · 1 questionPractise in MathLab →
- Collision With Prescribed Post Collision SpeedsKinematics · 1 questionPractise in MathLab →
- Particle Colliding With A Particle At RestKinematics · 1 questionPractise in MathLab →
- Collision Impulse And Energy LossKinematics · 1 questionPractise in MathLab →
- Reversal Of Direction And Kinetic Energy LossKinematics · 1 questionPractise in MathLab →
- Vertical Impact And Energy LossKinematics · 1 questionPractise in MathLab →
- Three Particle CollisionKinematics · 1 questionPractise in MathLab →
- Three Particles With Variable MassKinematics · 1 questionPractise in MathLab →
- IntroPractice
Rebounds and two-dimensional impact
Step 2 · 20 worksheets · 20 questions
- Ball Colliding With A WallKinematics · 1 questionPractise in MathLab →
- Ball Colliding With A CeilingKinematics · 1 questionPractise in MathLab →
- Bouncing BallKinematics · 1 questionPractise in MathLab →
- Ball Between Parallel WallsKinematics · 1 questionPractise in MathLab →
- Ball Colliding With Perpendicular WallsKinematics · 1 questionPractise in MathLab →
- Ball Rebounding From Perpendicular WallsKinematics · 1 questionPractise in MathLab →
- Ball Colliding With Perpendicular Walls And EnergyKinematics · 1 questionPractise in MathLab →
- Particle Between Two WallsKinematics · 1 questionPractise in MathLab →
- Particle Bouncing Between Two WallsKinematics · 1 questionPractise in MathLab →
- Loss Of Kinetic Energy Between Two WallsKinematics · 1 questionPractise in MathLab →
- Collision Followed By Wall ReboundKinematics · 1 questionPractise in MathLab →
- Second Collision After A Wall ReboundKinematics · 1 questionPractise in MathLab →
- Collision Followed By Wall Rebound And Second CollisionKinematics · 1 questionPractise in MathLab →
- Particle Rebounding From A Wall Then CollidingKinematics · 1 questionPractise in MathLab →
- Possible Impulse ComponentsKinematics · 1 questionPractise in MathLab →
- Speed After ImpulseKinematics · 1 questionPractise in MathLab →
- Particle Striking A Smooth PlaneKinematics · 1 questionPractise in MathLab →
- Elastic Collision Of Two SpheresKinematics · 1 questionPractise in MathLab →
- Oblique Collision Of Two SpheresKinematics · 1 questionPractise in MathLab →
- Impulse Parameter And Deflection AngleKinematics · 1 questionPractise in MathLab →
- Practice
Centres of mass, laminae, and stability
Step 3 · 26 worksheets · 26 questions
- Centre Of Mass Of A LaminaKinematics · 1 questionPractise in MathLab →
- Centre Of Mass Of Three ParticlesKinematics · 1 questionPractise in MathLab →
- Isosceles Trapezium LaminaKinematics · 1 questionPractise in MathLab →
- Composite Square And Triangular LaminaKinematics · 1 questionPractise in MathLab →
- Folded Rectangular LaminaKinematics · 1 questionPractise in MathLab →
- Folded Triangular LaminaKinematics · 1 questionPractise in MathLab →
- Joined Square FrameworksKinematics · 1 questionPractise in MathLab →
- Letter P Composite LaminaKinematics · 1 questionPractise in MathLab →
- Loaded Rectangular LaminaKinematics · 1 questionPractise in MathLab →
- Rectangular Sign With Semicircular Cut OutKinematics · 1 questionPractise in MathLab →
- Stepped Uniform LaminaKinematics · 1 questionPractise in MathLab →
- Triangular Wire FrameKinematics · 1 questionPractise in MathLab →
- Metal Template With Circular HolesKinematics · 1 questionPractise in MathLab →
- Rectangular And Semicircular Wire FrameworkKinematics · 1 questionPractise in MathLab →
- Squares And Circular Sector LaminaKinematics · 1 questionPractise in MathLab →
- Hollow Cylinder And Hemispherical ShellKinematics · 1 questionPractise in MathLab →
- Non Uniform Cone And HemisphereKinematics · 1 questionPractise in MathLab →
- Non Uniform Rigid FrameworkKinematics · 1 questionPractise in MathLab →
- Exponential Lamina And SuspensionKinematics · 1 questionPractise in MathLab →
- Lamina Bounded By A Cubic CurveKinematics · 1 questionPractise in MathLab →
- Further Centres Of Mass And TopplingKinematics · 1 questionPractise in MathLab →
- Rigid Framework And Supporting StringsKinematics · 1 questionPractise in MathLab →
- Non Uniform FlagpoleKinematics · 1 questionPractise in MathLab →
- Composite Solid And Sliding Or TiltingKinematics · 1 questionPractise in MathLab →
- Vessel With A Hemispherical CavityKinematics · 1 questionPractise in MathLab →
- Minimum Distance Of Centre Of MassKinematics · 1 questionPractise in MathLab →
- Practice
Elastic springs and strings
Step 4 · 11 worksheets · 12 questions
- Elastic Spring And PackageKinematics · 1 questionPractise in MathLab →
- Vertical Elastic SpringKinematics · 1 questionPractise in MathLab →
- Elastic String And Simple Harmonic MotionKinematics · 1 questionPractise in MathLab →
- Elastic Spring And Simple Harmonic MotionKinematics · 1 questionPractise in MathLab →
- Particle Between Two Elastic StringsKinematics · 1 questionPractise in MathLab →
- Particle Between Two Elastic Strings With A Broken StringKinematics · 1 questionPractise in MathLab →
- Elastic String On A Rough Inclined PlaneKinematics · 1 questionPractise in MathLab →
- Elastic String With A Midpoint ParticleKinematics · 1 questionPractise in MathLab →
- Elastic String With SlackeningKinematics · 1 questionPractise in MathLab →
- Vertical Elastic StringKinematics · 2 questionsPractise in MathLab →
- Spring On A Rough Inclined PlaneKinematics · 1 questionPractise in MathLab →
- Practice
Work, power, resistance, and variable-force motion
Step 5 · 25 worksheets · 26 questions
- Particle Velocity And DistanceKinematics · 1 questionPractise in MathLab →
- Find The ResistanceKinematics · 1 questionPractise in MathLab →
- Work Energy Down A Rough PlaneKinematics · 1 questionPractise in MathLab →
- Jogger PowerKinematics · 1 questionPractise in MathLab →
- Lorry Power And AccelerationKinematics · 1 questionPractise in MathLab →
- Truck Power And ResistanceKinematics · 1 questionPractise in MathLab →
- Van Power And AccelerationKinematics · 1 questionPractise in MathLab →
- Van Resistance And Limiting SpeedKinematics · 1 questionPractise in MathLab →
- Car And Trailer PowerKinematics · 1 questionPractise in MathLab →
- Car Power And MotionKinematics · 1 questionPractise in MathLab →
- Cyclist Power And ResistanceKinematics · 2 questionsPractise in MathLab →
- Car Power And Quadratic ResistanceKinematics · 1 questionPractise in MathLab →
- Stone Moving Against Air ResistanceKinematics · 1 questionPractise in MathLab →
- Force Depending On SpeedKinematics · 1 questionPractise in MathLab →
- Particle With Acceleration Depending On VelocityKinematics · 1 questionPractise in MathLab →
- Particle On An Inclined Plane With Variable ResistanceKinematics · 1 questionPractise in MathLab →
- Particle On Inclined Plane With Variable ForceKinematics · 1 questionPractise in MathLab →
- Particle Under A Force Inversely Proportional To SpeedKinematics · 1 questionPractise in MathLab →
- Car With Quadratic ResistanceKinematics · 1 questionPractise in MathLab →
- Cyclist With Constant Driving ForceKinematics · 1 questionPractise in MathLab →
- Motion Under A Velocity Dependent ForceKinematics · 1 questionPractise in MathLab →
- Quadratic Air ResistanceKinematics · 1 questionPractise in MathLab →
- Quadratic VelocityKinematics · 1 questionPractise in MathLab →
- Car Acceleration ModelKinematics · 1 questionPractise in MathLab →
- Toy Car Acceleration ModelKinematics · 1 questionPractise in MathLab →
- PracticeChallenge
Circular and constrained motion
Step 6 · 18 worksheets · 18 questions
- Banked BendKinematics · 1 questionPractise in MathLab →
- Bead On A Smooth HoopKinematics · 1 questionPractise in MathLab →
- Bowl On An Inclined PlaneKinematics · 1 questionPractise in MathLab →
- Particle Attached To A Light RodKinematics · 1 questionPractise in MathLab →
- Particle Attached To A StringKinematics · 1 questionPractise in MathLab →
- Conical PendulumKinematics · 1 questionPractise in MathLab →
- Bead On A Hemispherical ShellKinematics · 1 questionPractise in MathLab →
- Bead Threaded On A StringKinematics · 1 questionPractise in MathLab →
- Circular Motion With Two String TensionsKinematics · 1 questionPractise in MathLab →
- Cyclist On A Banked TrackKinematics · 1 questionPractise in MathLab →
- Particle Attached Between Two Fixed PointsKinematics · 1 questionPractise in MathLab →
- Particle In A Vertical CircleKinematics · 1 questionPractise in MathLab →
- Particle Moving In A Horizontal CircleKinematics · 1 questionPractise in MathLab →
- Ring Between Two Fixed PointsKinematics · 1 questionPractise in MathLab →
- Ring Moving Above A TableKinematics · 1 questionPractise in MathLab →
- Ring On A Vertical String SystemKinematics · 1 questionPractise in MathLab →
- Stone In A Vertical CircleKinematics · 1 questionPractise in MathLab →
- Package Moving In A Vertical CircleKinematics · 1 questionPractise in MathLab →
- Challenge
Mixed advanced dynamics
Step 7 · 8 worksheets · 8 questions
- Parcel On An Inclined RampKinematics · 1 questionPractise in MathLab →
- Particle Projected Up A PlaneKinematics · 1 questionPractise in MathLab →
- Parcel On A Rough RampKinematics · 1 questionPractise in MathLab →
- Tension In A TowbarKinematics · 1 questionPractise in MathLab →
- Connected Blocks And Work EnergyKinematics · 1 questionPractise in MathLab →
- Truck And Trailer On An InclineKinematics · 1 questionPractise in MathLab →
- Book Sliding From A Desk LidKinematics · 1 questionPractise in MathLab →
- Particle On A Rough ConeKinematics · 1 questionPractise in MathLab →
Ready to practise?
Open in the App StoreOpen MathLab for native maths input, marking, hints, and worked solutions.