An A-frame structure supporting a force or a moment.  One leg is a two force body.

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.

Calculation of bending resistance of wooden beams exposed to fire. The students have to calculate charring and effective cross sections ending in the bending resistance of the cross section.

 Question asks student to find zeros of a quadratic equation. In this version students are expected to write up their working and submit it seperately to the Numbas question. Students are expcted to recognise that only the positive solution has physical significance.

moment of inertia - cylinder

moment of inertia - cylinder

Evaluate J = (1/2)Ma^2 for random values of M and a.

Two known forces, and a third with known magnitude act on a rigid body.  Apply $\Sigma M = 0$ about a pin restraint to determine the direction of the third force.  The problem has two valid answers.

This exam has a custom diagnostic algorithm which gives the progress as a rational value. At the moment, this means "NaN%" is displayed in the sidebar.

Derive the expressions for the shear and bending moment as functions of $x$ for a cantilever beam with a uniformly varying (triangular) load.

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An A-frame structure supporting a force and a moment. The feet are at the different vertical positions so the solution will require simultaneous equations, unless you rotate the coordinate system.

Given the moment of inertia of an area about an arbitrary axis, find the centroidal moment of inertia and the moment of inertia about a second axis.

Euler-Bernoulli simply supported beam bending example with point force and moment.

A quick implementation of certainty-based marking: the student's score depends on how they rated their certainty in their answer before submission.

Because Numbas doesn't allow negative marking at the moment, scores are shifted upwards, so a high certainty incorrect answer scores 0, and a high certainty correct answer scores full credit.

The student has to compute $a^b$ and $b^a$, then decide which of the two is bigger.

This question shows how to set up a custom marking matrix for the "choose one from a list" part, based on values used elsewhere in the question. It could use adaptive marking to use the student's incorrect values for the comparison, but doesn't at the moment.

Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.

Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.

Write expressions for the moment of inertia of simple shapes about various axes.

Find moment of inertia of a shape which requires the use of the parallel axis theorem for a semicircle.

Find the magnitude of the momentum of some objects, given mass and speed. Apply the formula $\rho = mv$.

Find the magnitude of the momentum of some objects, given mass and speed. Apply the formula $\rho = mv$.