Find all forces on a two-part, symmetrical frame supporting a load. 

An A-frame structure supporting a force and a moment. The feet are at the same vertical position, so taking moments at one foot yields the y component of the reaction at the other.

Find the highest scoring people over a course of days using the MAX, MATCH and INDEX functions

Rewriting fractions of the form $\frac{\sqrt[m]{x^n}}{\sqrt[p]{x^q}}$ to $x^{\frac{n}{m}-\frac{q}{p}}$.

Rewriting expressions from $\sqrt[m]{x^n}$ to $x^\frac{n}{m}$.

A demo of the mathematical expression part and its options.

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Sort a list of numbers into "prime" or "composite".

Factorising a quadratic expression of the form $ax^2+bx+c$ by completing the square.

Factorising a quadratic expression of the form $x^2+bx+c$ by completing the square.

Solving a quadratic equation via factorisation, with the $x^2$-term having a coefficient of 1.

Factorising a quadratic expression with the $x^2$-term having a coefficient of 1.

Maximaliseer output bij gegeven kosten

Minimaliseer de kosten bij een gegeven outputvolume

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Assessment for ENG2023

You can enter an equation in 2 or more variables and rearrange it in the following steps. Numbas checks that the lines of working are all equivalent to the original equation. 

You can enter an expression and rearrange it in the following steps. Numbas checks that each arrangement is equivalent to the original expression.

Solve Truss by the method of joints.  The solution is simplified by recognizing symmetry.

Two functions given in words. Write down the function definition. The numbers in the function definitions are randomised.

Add (a/b).x +/- (c/d) where a,b,c,d are randomised positive integers, and x is a randomised letter.

Classic machine problem.  Find the mechanical advantage of a pair of pliers and the force on the hinge pin.

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Find the centroidal moment of inertia of a sideways T shape. This requires first locating the centroid, then applying the parallel axis theorem.

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