A question testing the application of the Area of a Triangle formula when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Two questions testing the application of the Sine Rule when given two angles and a side. In this question, the triangle is always acute.

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Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$.  (Equal roots example).

Find the tension in a rope necessary to prevent a bracket from rotating by applying $\Sigma M = 0$.

Demonstrates how to set up a "choose one from a list" part where the number of choices is randomised.

The part is given a list of labels for the choices as well as a list specifying the marks to award for each choice.

Two questions testing the application of the Sine Rule when given two sides and an angle. In this question, the triangle is always acute and one of the given side lengths is opposite the given angle.

Display a number as a mixed fraction when appropriate, using the mixedFractions display option.

Find forces required to hold a particle in equilibrium when subjected to a downward load.  Directions of the reactions are given.  

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

Find the force required to produce a given moment, or vice-versa.

Determine the moment of a force about a point by using $M= F d_\perp$ or $M = F_\perp d$.

Determine the single force which is equivalent to a force and a couple.

Replace three tangential forces with an equivalent force-couple system acting at the center of a circle.

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

Calculate the moment of a force about three points using the definition of a Moment.  All forces and points are in the same plane.

Find the sum of two couples in a plane.

Find the moment of a couple formed by two equal and opposite forces.

Solve for an angle which will result in equilibrium for a triangle subjected to three couples.   A trial and error solution is recommended.

Replace two parallel forces with an equivalent single force

Equilibrium of two interacting particles.

Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

Determine the resultant of three random 2-D vectors.  

Find the rectangular (scalar) components of a force for two coordinates systems.

Find the magnitude and direction of a force give its scalar components.