Welcome to the course Resolving Forces for Maths, Physics and Engineering. The course is aimed at those students who are primarily taking A Level subjects or the equivalent or who may be doing a introduction to mechanics for a engineering course.
As a college mathematics lecturer this is one area of mechanics that students do find challenging to understand. Yet it is a vital topic that overlaps into many other areas of mechanics so its understanding is essential.
I have covered the areas of resolving forces that are frequently taught at A Level or its equivalent as well as including over twenty practice questions with my own hand written solutions. You should note that my solutions are model answers to exam questions and this is how you should be producing your solutions.
The course includes 90 minutes of video instruction together with over 20 exam-style questions for you to try.
In this course you will learn how to:
The best way to learn mathematics is to do it so please do have a pen and notepad to hand. Do try all the questions provided and you have the opportunity to compare your work to the solutions provided.
I really hope that you find the course to be very beneficial.
After completing this lecture you will understand what is meant by a resultant force and also how a force can be resolved into its component parts.
After completing this lecture you will be able to resolve two or more forces and to determine the resultant force of two or more forces and the angle that resultant forces makes with the horizontal.
Here are some additional questions for you to practice based on what has been covered so far in the course. You can check your work with the model solutions that have been provided.
At the end of this lecture you will be able to apply the theory that has been applied so far to determine unknown forces or an angle of a force. You will also see how certain trigonometric equations are used.
At the end of this lecture you will have an insight into how to solve more complicated equations using the method of substitution and a factorising technique.
After completing this PowerPoint presentation you will be able to deal with horizontal frictional forces and to apply resolving techniques to determine their value.
Here you have the opportunity to put what you have learnt so far into practice by attempting these questions that are attached. You can then check your work with the model solutions that are provided.
At the end of this lecture you will be able to resolve forces on a plane that act parallel and perpendicular to the plane.
Here you have the opportunity to try some further questions relating to resolving forces on a plane. Model solutions are available for you to check your work.
At the end of this lecture you will further appreciate the type of questions that are often asked and will further realise that a diagram is an essential part of mechanics.
Here is a further opportunity to enhance your skills by trying these questions. The first two questions will be revision based questions but the last one is more challenging. Model solutions are available.
This lecture summarises the course as a whole and what you have learnt.
My name is Sadhiv Mahandru and I have always been passionate about mathematics that I pursued my passion further at The University of Liverpool.
During my degree period I specialised in the field of applied mathematics or more commonly known as mechanics. I currently lecture at a post-16 college in the UK where I teach various courses in pure mathematics and mechanics.
My ultimate goal is to make maths interesting, enjoyable and fun. I engage with maths students across the world via my Twitter account where I have over 9,000 followers and I really do hope that you are able to benefit from my expertise.