MathsGee Answers is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB
First time here? Checkout the FAQs!
Institutions: Global | Ekurhuleni Libraries | Joburg Libraries | Tshwane Libraries | Invest in Zim

MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

0 like 0 dislike
How do I calculate the resultant force of a parallelogram?
in Physics by Diamond (61,682 points) | 13 views

1 Answer

0 like 0 dislike
Best answer

Using an example, assume there are two forces $3N$ acting northwards and $4N$ acting eastwards on a small trailer as shown f the diagram below.

To calculate the resultant for, we we have to establish the diagonal of the quadrilateral formed by the two shapes which will give us the magnitude and direction of the resultant force.

Using Pythagoras' Theorem we can calculate the magnitude of the resultant force:


which implies that


hence $r=5$

Now that we have established the magnitude, we can now use trigonometric ratios to calculate the direction relative to the horizontal force.


which means that

\[\theta = \tan^{-1}{\dfrac{4}{3}}\]

therefore $\theta = 37^{\circ}$

The diagram below shows that the diagonal of the parallelogram is the resultant force of 5 newtons (N) acting at an angle of 37° to the horizontal.

by Diamond (61,682 points)

Welcome to MathsGee Answers, a free online study network where students can ask, answer, and explore 24/7 for improved outcomes.

MathsGee Supporting City of Joburg

Enter your email address:

MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

Interactive Courseware

ZeroEd Search Engine

Article Rewriter Tool

Word Counter Tool

Other Tools

STEM Gender Equality | ZOOM | Slack | eBook