Can you think like a computer and work out what this flow diagram does?
Prove that you can make any type of logic gate using just NAND gates.
Can you work out what this procedure is doing?
A preview of some of the beam deflection mechanics you will look at in the first year of an engineering degree
Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?
At what positions and speeds can the bomb be dropped to destroy the dam?
A look at power generation using wind turbines.
This article, including exercises, gives a thorough grounding in the topic of AC/DC circuits.
Derive Euler's buckling formula from first principles.
As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.
Derive an equation which describes satellite dynamics.
A series of activities to build up intuition on the mathematics of friction.
Explore the mathematics behind the famous Wheatstone Bridge circuit.
Put your complex numbers and calculus to the test with this impedance calculation.
How do these modelling assumption affect the solutions?
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Show that even a very powerful spaceship would eventually run out of overtaking power
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
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
How does the half-life of a drug affect the build up of medication in the body over time?
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
Things are roughened up and friction is now added to the approximate simple pendulum
What is an AC voltage? How much power does an AC power source supply?
When a mixture of gases burn, will the volume change?
How efficiently can you pack together disks?
Find out how to model a battery mathematically
A think about the physics of a motorbike riding upside down
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?
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
Doug has just finished the first year of his undergraduate engineering course at Cambridge University. Here he gives his perspectives on engineering.
Follow in the steps of Newton and find the path that the earth follows around the sun.
A look at different crystal lattice structures, and how they relate to structural properties
See how the motion of the simple pendulum is not-so-simple after all.
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Can you match up the entries from this table of units?
Explore the relationship between resistance and temperature
This problem explores the biology behind Rudolph's glowing red nose.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Explore the meaning of the scalar and vector cross products and see how the two are related.
Can you sketch these difficult curves, which have uses in mathematical modelling?
Can you make matrices which will fix one lucky vector and crush another to zero?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Explore how matrices can fix vectors and vector directions.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?