See how the motion of the simple pendulum is not-so-simple after all.

chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics

engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering

This is the technology section of stemNRICH - Core.

Find the equation from which to calculate the resistance of an infinite network of resistances.

How fast would you have to throw a ball upwards so that it would never land?

Can you work out the natural time scale for the universe?

Problems which make you think about the kinetic ideas underlying the ideal gas laws.

This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.

Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges

Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.

Explore the Lorentz force law for charges moving in different ways.

Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

An introduction to a useful tool to check the validity of an equation.

A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.

Look at the calculus behind the simple act of a car going over a step.

Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms

A look at different crystal lattice structures, and how they relate to structural properties

Which line graph, equations and physical processes go together?

Things are roughened up and friction is now added to the approximate simple pendulum

Explore the power of aeroplanes, spaceships and horses.

Derive an equation which describes satellite dynamics.

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

Ever wondered what it would be like to vaporise a diamond? Find out inside...

Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging

How does the half-life of a drug affect the build up of medication in the body over time?

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

Where will the spaceman go when he falls through these strange planetary systems?

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.

A look at a fluid mechanics technique called the Steady Flow Momentum Equation.

Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991

What is an AC voltage? How much power does an AC power source supply?

Show that even a very powerful spaceship would eventually run out of overtaking power

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Can you match up the entries from this table of units?

Which units would you choose best to fit these situations?

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

How high will a ball taking a million seconds to fall travel?

Follow in the steps of Newton and find the path that the earth follows around the sun.

Can you arrange a set of charged particles so that none of them start to move when released from rest?

When you change the units, do the numbers get bigger or smaller?

A think about the physics of a motorbike riding upside down

An article about the kind of maths a first year undergraduate in physics, engineering and other physical sciences courses might encounter. The aim is to highlight the link between particular maths. . . .

Some explanations of basic terms and some phenomena discovered by ancient astronomers