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Further Mathematics
Revision Notes
Further Mechanics
Further Mathematics · Cambridge 9231
Further Mechanics
6 chapters · 59 lessons
Paper
Further Pure Mathematics 1
Further Pure Mathematics 2
Further Mechanics
Further Probability & Statistics
Expand all
01
Projectiles
8 lessons · 4 topic areas
01
Modelling motion
2 lessons
Model and initial components
Position and time
02
Height and range
2 lessons
Highest point and level-ground range
Different heights and repeated crossings
03
Velocity and direction
1 lesson
Speed and direction
04
Trajectories and targets
3 lessons
Equation of the path
Targets and barriers
Sloping ground and combined conditions
02
Equilibrium of a rigid body
11 lessons · 5 topic areas
01
Moments and equilibrium
2 lessons
Moments of forces
Force and moment equilibrium
02
Centres of mass in a plane
3 lessons
Meaning and calculation of centre of mass
Triangles and composite laminas
Curved wire and sectors
03
Centres of mass of solids
2 lessons
Centres of standard solids
Joined solids and removed parts
04
Supported and suspended bodies
2 lessons
Friction and ladders
Suspension and hanging angles
05
Sliding and toppling
2 lessons
Toppling and the contact edge
Sliding or toppling first
Practise this chapter
03
Circular motion
12 lessons · 4 topic areas
01
Circular kinematics
2 lessons
Angular speed and revolutions
Inward acceleration and real forces
02
Horizontal circles
4 lessons
Friction and speed limits
Conical pendulums
Banked surfaces
Two strings and tension limits
03
Vertical circles
3 lessons
Energy and radial force
Conditions for complete circles
Turning or leaving the circle
04
Contact and subsequent motion
3 lessons
Motion outside a sphere
Projectile motion after leaving
Joined arcs and choosing a method
Practise this chapter
04
Hooke’s law
11 lessons · 4 topic areas
01
Elastic force models
3 lessons
Length, extension and elastic force
Equilibrium and unknown lengths
More than one string or spring
02
Elastic energy
1 lesson
Elastic potential energy and work
03
Motion with elastic forces
4 lessons
Vertical motion and greatest speed
Slack and stretched stages
Horizontal motion and friction
Elastic motion on a slope
04
Geometry and linked models
3 lessons
Symmetric strings and changing geometry
Elastic strings in circular motion
A string over a smooth pulley
Practise this chapter
05
Linear motion under a variable force
8 lessons · 3 topic areas
01
Signed motion and time-dependent force
2 lessons
Velocity, speed and distance
Force given in terms of time
02
Force and position
2 lessons
Force given in terms of position
Turning points and limiting positions
03
Resistance and separable equations
4 lessons
Linear resistance and terminal speed
Quadratic resistance
Friction, resistance and stopping
Force depending on time and velocity
Practise this chapter
06
Momentum
9 lessons · 3 topic areas
01
Momentum and direct collisions
4 lessons
Signed momentum and a system
Restitution and direct impact
Reversal and unknown coefficients
Kinetic energy lost in impact
02
Oblique collisions
2 lessons
Oblique impact with a wall
Oblique collisions of spheres
03
Successive collisions
3 lessons
A wall and a second collision
Three bodies on a line
Successive perpendicular walls
Practise this chapter