End of chapter exercises for Engineering Statics: Open and Interactive 

End of chapter exercises for Engineering Statics: Open and Interactive 

Homework set.  Identify student errors when drawing free body diagrams.

• This question assesses students' ability to:
  • create basic visualisation of multivariate data using ggplot2, and
  • identify errors and issues with ggplot2 code and fix them accordingly.
• The students submit code to each part. It is envisioned that they will try the code in RStudio, and only submit to Numbas when they are satisfied with the resulting visualisation or output.
• As of 2026-02-24, this question is not randomised.

End of chapter exercises for Engineering Statics: Open and Interactive 

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

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

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

• This question assesses students' ability to:
  • create basic visualisation of multivariate data using ggplot2, and
  • identify errors and issues with ggplot2 code and fix them accordingly.
• The students submit code to each part. It is envisioned that they will try the code in RStudio, and only submit to Numbas when they are satisfied with the resulting visualisation or output.
• As of 2026-02-24, this question is not randomised.

• This exam is one assignment of MAS2908 data visualisation.
• This exam assesses students' ability to:
  • create basic visualisation of multivariate data using ggplot2, and
  • identify errors and issues with ggplot2 code and fix them accordingly.
• The students submit code to each part. It is envisioned that they will try the code in RStudio, and only submit to Numbas when they are satisfied with the resulting visualisation or output.
• As of 2026-02-24, this exam is not randomised.

Homework set.  Find components of vectors in various situations.

Quiz designed as summary test for MAST resource: Matrices (A Level Further Maths content)

Give any valid solution to a second order ODE with general solution Ae^x+Bcosh(x)+Csinh(x)

Quiz designed as summary test for MAST resource: Hyperbolic Functions (A Level Further Maths content)

Solve a random oblique triangle for sides and angles.

Use defintions of the hyperbolic functions to integrate by considering exponentials.

Rearrange and make a substitution to integrate a quotient to a function in terms of arsinh.

Rearrange and make a substitution to integrate a quotient to a function in terms of arsinh.

Use double angle an pythagorean identities to manipulate before integrating.

Determine the resultant of three random 2-D vectors.  

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.

Sum three force vectors based on a written description of the situation.

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

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

Basic indefinite integrals, Basic definite integrals, integration by substitution

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MECE3930U: Heat Transfer Assignment 4

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

This assignment is only to allow a maximum of 5 attempts.

Time to complete: unlimited

All answers should be provided without the units, but attention must be paid to the unit instructions in each question. For example, if your answer is 100.3 W/m2K, type 100.3 only.

Important Note: You have to submit your assignment to receive a mark!

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

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

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

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