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OCR
> Further Maths Mechanics
Further Maths Mechanics
OCR A Level Further Maths Mechanics.
Further Maths Mechanics
Further Maths Mechanics topics
Dimensional Analysis
Finding dimensions of quantities
Work, Energy and Power
Work done by a force
Moving in the horizontal plane with and without friction
Moving in the vertical plane against gravity
Moving up a rough inclined plane against friction and against gravity
Work done by a constant force in two dimensions using vectors
Work done by a variable force
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Energy
Gravitational potential energy
Kinetic energy
Kinetic energy using the scalar product
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Conservation of mechanical energy / Work-Energy Principle
Conservation of energy / work energy principle
Motion down a smooth plane
Motion down a rough plane
Motion down an undulating slope
Exam Questions - Work Energy Principle
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Power
Calculating the power developed by an engine
Car accelerating along the horizontal and then up a hill
Exam Questions - Power
Power with a variable force in two dimensions using the scalar product
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Exam Questions – Work, Energy and Power
Exam Questions - Work, energy and power
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Hooke’s Law
Hooke's law
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Energy Stored in an Elastic String or Spring
Energy stored in an elastic string or spring
Momentum and Impulse
Momentum
Collisions and the conservation of linear momentum
Two particles colliding and then separating
Two particles colliding and moving off as one particle
A bullet being fired from a gun
Exam Questions - Momentum
Collisions and the conservation of momentum in vector form
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Impulse
Impulse
Exam Questions - Momentum and impulse
Impulse in vector form
Exam Questions - Impulse (vector form)
Impulse for variable forces
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Newton’s Law of Restitution
Newtons law of restitution (experimental law)
Collision between two particles
Collision with a fixed surface
Exam Questions - Newton's law of restitution
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Oblique Impact
Oblique impact between two spheres
Oblique impact between a sphere and wall
Loss of kinetic energy due to oblique impact
Centre of Mass
A System of Particles
Centre of mass of a system of particles in a line
Centre of mass of a system of particles in a plane
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Uniform Laminas
Centre of mass of a uniform lamina that has lines of symmetry
Triangular laminas
Sectors and semi-circles
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Composite Laminas
Rectangles
Rectangle + triangle
Rectangle + semi-circle
Rectangle with circle removed
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Wire Frameworks
Wire framework consisting of a rectangle and triangle
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Hanging and Toppling Problems
Freely hanging suspended lamina
Lamina toppling on an inclined plane
Slide or topple?
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Exam Questions – Centre of Mass
Exam Questions - Centre of mass of laminas
Exam Questions - Centre of mass of wire frameworks
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Centre of Mass of Solids
Centre of mass of solids
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Centre of Mass by Integration
Centre of mass of a lamina by integration
Centre of mass of a solid of revolution
Motion in a Circle
Angular Speed and Acceleration
Angular speed and acceleration
Radial and tangential components for variable acceleration
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Motion in a Horizontal Circle
Conical pendulum
Particle moving on the inside of a cone
Particle moving on the inside of a hemispherical shell
Car moving around a banked track
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Motion in a Vertical Circle
Motion of a particle on a light inextensible string
Particle on the outer surface of a sphere
Further Dynamics and Kinematics
Variable Forces
Particle moving in a straight line under a variable forces