A-level Further Mathematics₇₃₆₇

Specification7367

7367

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A-level Further Mathematics Specification for first teaching in 2017

20 Oct 2017

PDF | 749.92 KB

3.3 Optional application 1 – mechanics

3.3.1 MA: Dimensional analysis

	Content
MA1	Finding dimensions of quantities; checking for dimensional consistency.

	Content
MA2	Prediction of formulae; finding powers in potential formulae.

3.3.2 MB: Momentum and collisions

	Content
MB1	Conservation of momentum for linear motion and cases where velocities are given as one or two dimensional vectors (problems which require resolving).

	Content
MB2	Coefficient of restitution and Newton’s Experimental Law. Use in direct collisions and impacts with a fixed smooth surface. Problems which require resolving.

	Content
MB3	Impulse and its relation to momentum. Use of $F t = m v - m u$ . Problems which require resolving.

	Content
MB4	Impulse for variable forces. One dimension only. Use of $I = \int F d t$ .

3.3.3 MC: Work, energy and power

	Content
MC1	Work done by a force acting in the direction of motion or directly opposing the motion. Use of $W D = F d \cos θ$

	Content
MC2	Gravitational potential energy. Use in conservation of energy problems.

	Content
MC3	Kinetic energy. Use in conservation of energy problems.

	Content
MC4	Hooke’s Law including using modulus of elasticity. Use of $T = k x$ or $T = \frac{λ}{l} x$

	Content
MC5	Work done by a variable force. Use of $W D = \int F d x$ . Use in conservation of energy problems.

	Content
MC6	Elastic potential energy using modulus of elasticity. Use of $E P E = \frac{k x^{2}}{2}$ and $E P E = \frac{λ x^{2}}{2 l}$ . Use in conservation of energy problems.

3.3.4 MD: Circular motion

	Content
MD1	Motion of a particle moving in a circle with constant speed (knowledge of radians assumed).

	Content
MD2	Understand the definition of angular speed. Use both radians and revolutions per unit time.

	Content
MD3	Relationships between speed, angular speed, radius and acceleration. Use of $v = r ω$ , $a = r ω^{2}$ and $a = \frac{v^{2}}{r}$

	Content
MD4	Use position, velocity and acceleration as vectors in the context of circular motion.

	Content
MD5	Conical pendulum, with one or two strings.

	Content
MD6	Circular motion in a vertical plane. Includes conditions to complete vertical circles. Use of conservation of energy in this context.

3.3.5 ME: Centres of mass and moments

	Content
ME1	Centre of mass for a system of particles.

	Content
ME2	Centre of mass for a composite body.

	Content
ME3	Centre of mass of a lamina by integration.

	Content
ME4	Centres of mass of bodies formed by rotating a region about the $x$ -axis.

	Content
ME5	Conditions for sliding and toppling. Problems including suspension and on an inclined plane.

	Content
ME6	Determine the forces acting on a rigid body in equilibrium. Use of moments and couples.

3.2 Compulsory content

3.4 Optional application 2 – statistics