Prove that you can make any type of logic gate using just NAND
Can you think like a computer and work out what this flow diagram
Can you work out what this procedure is doing?
A look at power generation using wind turbines.
Show that even a very powerful spaceship would eventually run out
of overtaking power
A preview of some of the beam deflection mechanics you will look at
in the first year of an engineering degree
A look at a fluid mechanics technique called the Steady Flow
Derive Euler's buckling formula from first principles.
Explore the mathematics behind the famous Wheatstone Bridge
As a capacitor discharges, its charge changes continuously. Find
the differential equation governing this variation.
A series of activities to build up intuition on the mathematics of
This article, including exercises, gives a thorough grounding in
the topic of AC/DC circuits.
Can you work out which of the equations models a bouncing bomb?
Will you be able to hit the target?
Find out how to model a battery mathematically
Investigate some of the issues raised by Geiger and Marsden's
famous scattering experiment in which they fired alpha particles at
a sheet of gold.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
How do these modelling assumption affect the solutions?
How does the half-life of a drug affect the build up of medication
in the body over time?
Investigate the effects of the half-lifes of the isotopes of cobalt
on the mass of a mystery lump of the element.
Investigate why the Lennard-Jones potential gives a good
approximate explanation for the behaviour of atoms at close ranges
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Derive an equation which describes satellite dynamics.
A look at different crystal lattice structures, and how they relate
to structural properties
Put your complex numbers and calculus to the test with this
A think about the physics of a motorbike riding upside down
What is an AC voltage? How much power does an AC power source
When a mixture of gases burn, will the volume change?
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
Dip your toe into the world of quantum mechanics by looking at the
Schrodinger equation for hydrogen atoms
Things are roughened up and friction is now added to the
approximate simple pendulum
Find the equation from which to calculate the resistance of an
infinite network of resistances.
At what positions and speeds can the bomb be dropped to destroy the
A ball whooshes down a slide and hits another ball which flies off
the slide horizontally as a projectile. How far does it go?
See how the motion of the simple pendulum is not-so-simple after
Can you match up the entries from this table of units?
Can you work out how to produce the right amount of chemical in a
Investigate the mathematics behind blood buffers and derive the
form of a titration curve.
Follow in the steps of Newton and find the path that the earth
follows around the sun.
Use the logarithm to work out these pH values
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Doug has just finished the first year of his undergraduate
engineering course at Cambridge University. Here he gives his
perspectives on engineering.
Explore the possibilities for reaction rates versus concentrations
with this non-linear differential equation
In this question we push the pH formula to its theoretical limits.
The probability that a passenger books a flight and does not turn
up is 0.05. For an aeroplane with 400 seats how many tickets can be
sold so that only 1% of flights are over-booked?
At what temperature is the pH of water exactly 7?
Find the distance of the shortest air route at an altitude of 6000
metres between London and Cape Town given the latitudes and
longitudes. A simple application of scalar products of vectors.
What does the empirical formula of this mixture of iron oxides tell
you about its consituents?
Explore the meaning of the scalar and vector cross products and see how the two are related.
Each week a company produces X units and sells p per cent of its
stock. How should the company plan its warehouse space?