OCR Further Maths Mechanics A-Level

1. Finding dimensions of quantities

Work done by a force

1. Moving in the horizontal plane with and without friction
2. Moving in the vertical plane against gravity
3. Moving up a rough inclined plane against friction and against gravity
4. Work done by a constant force in two dimensions using vectors
5. Work done by a variable force

Energy

1. Gravitational potential energy
2. Kinetic energy
3. Kinetic energy using the scalar product

Conservation of mechanical energy / Work-Energy Principle

1. Conservation of energy / work energy principle
2. Motion down a smooth plane
3. Motion down a rough plane
4. Motion down an undulating slope
5. Exam Questions - Work Energy Principle

Power

1. Calculating the power developed by an engine
2. Car accelerating along the horizontal and then up a hill
3. Exam Questions - Power
4. Power with a variable force in two dimensions using the scalar product

Hooke’s Law

1. Hooke's law

Energy Stored in an Elastic String or Spring

1. Energy stored in an elastic string or spring

Momentum

1. Collisions and the conservation of linear momentum
2. Two particles colliding and then separating
3. Two particles colliding and moving off as one particle
4. A bullet being fired from a gun
5. Exam Questions - Momentum
6. Collisions and the conservation of momentum in vector form

Impulse

1. Impulse
2. Exam Questions - Momentum and impulse
3. Impulse in vector form
4. Exam Questions - Impulse (vector form)
5. Impulse for variable forces

Newton’s Law of Restitution

1. Newtons law of restitution (experimental law)
2. Collision between two particles
3. Collision with a fixed surface
4. Exam Questions - Newton's law of restitution

Oblique Impact

1. Oblique impact between two spheres
2. Oblique impact between a sphere and wall
3. Loss of kinetic energy due to oblique impact

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
3. Slide or topple?

Centre of Mass of Solids

1. Centre of mass of solids

Centre of Mass by Integration

1. Centre of mass of a lamina by integration
2. Centre of mass of a solid of revolution

Angular Speed and Acceleration

1. Angular speed and acceleration
2. Radial and tangential components for variable 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

Motion in a Vertical Circle

1. Motion of a particle on a light inextensible string
2. Particle on the outer surface of a sphere

Variable Forces

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