Challenge Level

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

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

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. . . .

Challenge Level

Given the equation for the path followed by the back wheel of a bike, can you solve to find the equation followed by the front wheel?

Challenge Level

Was it possible that this dangerous driving penalty was issued in error?

Challenge Level

This is the technology section of stemNRICH - Core.

Challenge Level

Which parts of these framework bridges are in tension and which parts are in compression?

Challenge Level

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

This article, including exercises, gives a thorough grounding in the topic of AC/DC circuits.

Challenge Level

This short question asks if you can work out the most precarious way to balance four tiles.

Challenge Level

Explore the voltages and currents in this interesting circuit configuration.

Challenge Level

Explore the mathematics behind the famous Wheatstone Bridge circuit.

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

A preview of some of the beam deflection mechanics you will look at in the first year of an engineering degree

Challenge Level

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

Challenge Level

A series of activities to build up intuition on the mathematics of friction.

Challenge Level

In this short problem we investigate the tensions and compressions in a framework made from springs and ropes.

Challenge Level

Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.

Challenge Level

Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.

Challenge Level

Derive Euler's buckling formula from first principles.

Doug has just finished the first year of his undergraduate engineering course at Cambridge University. Here he gives his perspectives on engineering.

Challenge Level

Prove that you can make any type of logic gate using just NAND gates.

Challenge Level

In an extension to the Stonehenge problem, consider the mechanical possibilities for an arrangement of frictional rollers.

Challenge Level

Put your complex numbers and calculus to the test with this impedance calculation.

Challenge Level

As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.

Challenge Level

Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?

Challenge Level

Can you think like a computer and work out what this flow diagram does?