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added by t_johnst — Centre of Gravity Circular Motion Circular Motion and SHM Collisions Collisions Connected Particles Connected Particles Differential Equations Hydrostatics Hydrostatics Linear Motion Linear Motion Moments of Inertia Projectiles Projectiles Relative Velocity Relative Velocity Statics Statics
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Leaving Cert Applied Mathematics by Dominick Donnelly
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Plotting Projectile Displacement, Acceleration, and Velocity

added by Allyb2106 — Projectiles Projectiles
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Plotting projectile displacement, acceleration, and velocity as a function to change in time.
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Deriving Displacement as a Function of Time, Acceleration and Initial Velocity

added by Allyb2106 — Projectiles Projectiles
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Deriving displacement as a function of time, constant acceleration and initial velocity.
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Newton's Third Law of Motion

added by Allyb2106 — Connected Particles Connected Particles
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Every action has an equal and opposite reaction.
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Newton's Second Law of Motion

added by Allyb2106 — Connected Particles Connected Particles
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Newton's Second Law of Motion: F=ma
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Newton's First Law of Motion

added by Allyb2106 — Connected Particles Connected Particles
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Newton's First Law (Galileo's Law of Inertia).
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Acceleration

added by Allyb2106 — Linear Motion Linear Motion
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Calculating the acceleration of a Porshe.
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Velocity and Position from Acceleration

added by Allyb2106 — Linear Motion Linear Motion
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Lesson on deriving equations for velocity, displacement and acceleration.
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2nd Order Linear Differential Equations Part 2

added by Allyb2106 — Differential Equations
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Finding the general solutions.
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2nd Order Linear Homogenous Differential Equations

added by Allyb2106 — Differential Equations
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Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.
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Euler's method | First order differential equations | General Solutions

added by Allyb2106 — Differential Equations
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Lesson on Euler's method - used to find general solutions of differential equations.
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Visualizing Solutions to Differential Equations with Slope Fields

added by Allyb2106 — Differential Equations
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Intuition and visualization of differential equation solutions using slope fields.
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Separable differential equations introduction | First order differential equations | Khan Academy

added by Allyb2106 — Differential Equations
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Lesson on solving first order, separable differential equations.
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Finding Particular Linear Solutions to Differential Equations

added by Allyb2106 — Differential Equations
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Introduction into finding solutions to differential equations.
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Differential Equation Introduction | First Order Differential Equations

added by Allyb2106 — Differential Equations
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Introduction to first order differential equations.
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Particular Solution to Differential Equation Example

added by Allyb2106 — Differential Equations
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How to get the particular solution to a separable differential equation. Worked example.
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KeysToMaths: The Motion of an Unwinding Uniform Disc

added by Allyb2106 — Moments of Inertia
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A uniform disc with a massless string wound around it and held by the string falls with acceleration 2/3g. This is the same acceleration as the limiting case of the acceleration of a uniform disc down an incline as the angle approaches 90°. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug
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KeysToMaths: The Energy of a Uniform Rolling Disc

added by Allyb2106 — Moments of Inertia
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The total energy of a rolling object is the sum of it's rotational, kinetic and potential energies and is conserved. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug
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KeysToMaths: Uniform Annulus Rolling on an Inclined Plane

added by Allyb2106 — Moments of Inertia
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The acceleration of a uniform annulus rolling on an inclined plane is 2gSinƟ/(3+(b/r)^2) where r is the outer radius and b is the inner radius. This is less than the acceleration of ANY uniform disc (2gSinƟ/3) rolling on the same incline. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug
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KeysToMaths: A Uniform Disc Rolling on an Inclined Plane

added by Allyb2106 — Moments of Inertia
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The acceleration of a uniform disc rolling without slipping on an inclined plane is 2gSinƟ/3. If there is no friction, the disc does not turn and slips down the incline like a particle with acceleration gSinƟ. If there is friction, the friction needed to turn the disc without slipping is 1/3 mgSinƟ which is independent of µ and must be less than the limiting friction µmgcosƟ. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug
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