Vector diagrams & Resultant forces

• What is the purpose of the video discussed in the study material?

  To look at how to use scale drawings to find the resultant force on an object
• What force does the man on the bike create while pedaling?

  4 newtons northwards
• What force is acting on the cyclist due to the breeze?

  3 newtons eastwards
• How can the forces acting on the cyclist be represented on a grid?

  As a 4 cm arrow upwards and a 3 cm arrow to the right
• What does each centimeter represent in the scale drawing?

  Each centimeter represents one newton
• How do you find the resultant force using the scale diagram?

  By placing the two vector arrows tip to tail and drawing a line from the starting point to the endpoint
• What is the length of the resultant force in the example given?

  5 centimeters
• How do you convert the length of the resultant force into newtons?

  By using the scale where each centimeter equals one newton
• What is the resultant force in newtons from the example?

  5 newtons
• What is the bearing of the resultant force from north?

  37 degrees
• What does it mean if the forces acting on an object are balanced?

  It means the object is at equilibrium
• How do you find the overall force when three forces are acting on a particle?

  By arranging the three arrows tip to tail
• What does it indicate if the arrows join up perfectly in the force diagram?

  It indicates there is zero resultant force
• Is the order of arranging the arrows important when finding the resultant force?

  No, as long as they are all placed tip to tail
• What is the process of resolving vectors?

  It is splitting a vector into its horizontal and vertical components
• How can you represent a force of 50 newtons on a scale drawing?

  By using a scale of 10 newtons per centimeter to create a 5 centimeter line
• How do you resolve the 50 newton force into its components?

  By drawing a horizontal line and a vertical line from the force vector
• What are the measurements of the resolved components of the 50 newton force?

  40 newtons to the right and 30 newtons upwards
• What are the steps to find the resultant force using scale drawings?

  1. Represent forces as arrows on a grid.
  2. Place the arrows tip to tail.
  3. Draw a line from the starting point to the endpoint.
  4. Measure the length of the resultant arrow.
  5. Convert the length to newtons using the scale.
  6. Measure the angle for the direction.
• What are the steps to resolve a vector into its components using scale drawings?

  1. Draw the vector at the appropriate angle.
  2. Draw a horizontal line and a vertical line from the vector.
  3. Label the directions of the components.
  4. Measure the lengths of the components.
  5. Convert the lengths to newtons using the scale.