# 5.1.8 Balanced & Unbalanced Forces

Higher Tier Only

### Resolving Forces

• Combining more than one force vector can result in
• Balanced forces – where there is no resultant force
• Unbalanced forces – where there is a resultant force
• If a force acts at an angle, the force may be broken down or resolved
• A single force can be resolved into two parts (components)
• A horizontal component
• A vertical component The force (shown in red) may be broken into two components (shown in blue): a vertical one and a horizontal one

• When several forces act on an object in different directions, the resultant force can be found by adding the arrows together
• The two component arrows are placed head to tail with the single force starting at the tail of the first vector and ending at the head of the second The resultant force can be found by adding the arrows together in a “head to tail” manner

• If the force arrows from a closed loop, then the forces are balanced, in other words, there is no resultant force The forces in the above diagram form a closed loop – they are balanced

#### Exam Tip

The resultant force is sometimes also known as the net force or the unbalanced force, so if you see any of these phrases used in an exam – don’t panic, they all mean the same thing!

Higher Tier Only

### Using Scale Drawings

• Resolving vectors into components allows for more accurate calculations of resultant forces
• By resolving all of the involved forces into their horizontal and vertical components and then adding or subtracting as required, a final resultant force vector can be constructed using a scale diagram

#### Worked Example

The diagram below shows two rhinos pushing against a vehicle. The two forces are at right angles to each other. Draw a scale vector diagram to determine the magnitude of the resultant force. Label the two forces applied and the resultant, and clearly state the scale used.

Step 1: Decide on a suitable scale

• A scale of 1 cm to 1.0 kN is the most suitable for this scenario

Step 2: Use grid paper to draw the vectors top to tail and to scale Step 3: Draw the resultant vector and measure its length Step 4: Use the scale to convert the length to kN

• The resultant force is 8.6 cm, meaning the resultant force is equal to 8.6 kN ### Author: Katie

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.
Close Close