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

Rigid body equilibrium problem.  Easiest to solve by replacing forces on the perimiter of the pulley with equivalent forces at the axle.

Shows how to switch to the 3D graphics view of a geogebra applet using an extension function.

Given a graph of the form either a.cos(bx) or a.sin(bx), identify the amplitude and period.

Should not be used: this relies on a custom JavaScript which is not guaranteed to continue working.

Wrap the student's answer in set() so it's marked as a set.

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Drag points on an axis to plot a linear graph (integer gradient and intercept only)

Shows how the "give a number which satisfies an equation" part type can be used to makr the student's number correct if it satisfies an equation of the form $f(x) = 0$.

Examples of the following custom part types: Yes/no, List of numbers, Give a numerical input for an expression, Number entry modulo.

rebelmaths

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This shows how to take an expression given by the student and plot the implicit curve of points where it equals zero.

Some questions which use JSXGraph to create interactive graphics.

This question shows a JSXGraph diagram above a mathematical expression input, containing a plot of the expression the student enters.

Directional derivative of a scalar field.

Given an equation with variable x in the power on two different bases, students must solve for x. Hints are included in the question to aid the student as needed.

Basic fraction arithmetic, giving answers in lowest form.

Round random numbers to the closest whole number, 1, 2 or 3 decimals places.

Given an equation where x is the base of a log term, the student must solve for x. Hints are included in the question to aid the student as needed.

Given an equation involving x as a power on e, the student must solve for x. Hints are included in the question to aid the student as needed.

Given an equation with log terms added together, the student must solve for x. Hints are included in the question to aid the student as needed.

Given an equation with log terms added together, the student must solve for x. Hints are included in the question to aid the student as needed.

Uke 7

Calculate the moment of a force about three points using Verignon' theorem.  All forces and points are in the same plane.

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.

End of chapter exercises for Engineering Statics: Open and Interactive