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 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 oblique components of a vector.

Given the specifications of two vectors, draw the parallelogram representing their sum, then estimate length of the diagonal. 

Given three vectors with integer components, find the corresponding magnitude and direction.

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

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

Equilibrium of two interacting particles.

Find the tensions is a system of cables supporting two loads.

3D equilibrium of a particle problem.  Rectangular steel plate supported by three cables, dimensions and density given.

Pulley supported by a cable, so the tension in the rope is constant.    Advice is a youtube video showing how to solve the problem.

Find the tensions in two ropes supporting a weight.

Three random forces act on a particle.  Determine the force required for equilibirum.

Two dimensional particle equilibrium problem.  Advice shows how to use how to use slope triangles to find sines and cosines, rather than finding the angle and using that.

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

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

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

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

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

Calculate the moment of a force.  Must calculate perpendicular distance based on simple geometry, and recognize direction.

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.

MECE3930U: Heat Transfer Bonus Assignment (Transient Heat Conduction).

Please follow the Numbas guidance first if you did not attend the Numbas session.

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

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

This question uses a Geogebra applet to solve a linear program with two variables using the graphical method. It contains three steps:

1. Construct the feasible area (polygon) by adding the constraints one by one. The students can see what happens when the constraints are added.
2. Add the objective function, and the level set of the objective value is shown, as well as its (normalised) gradient.
3. Compute the optimal solution by moving the level set of the objective around.

End of chapter exercises for Engineering Statics: Open and Interactive 

End of chapter exercises for Engineering Statics: Open and Interactive 

Find the reactions of a rigid body (a triangular plate) at a pin and roller, using the three-force body principle.