P5.4 Parallelogram of forces

What is the purpose of drawing a parallelogram of forces?

• To determine the direction of a single force.

• To find the resultant of two forces acting at right angles.

• To find the resultant of two forces acting at any angle.

When investigating the parallelogram of forces using weights and pulleys, what does the diagonal of the parallelogram represent?

• The tension in the strings.

• The resultant force.

• The weight of the known mass.

If two tugboats are pulling a ship, and the forces are represented by vectors, how would you find the resultant force?

• By adding the magnitudes of the forces.

• By drawing a parallelogram with the forces as adjacent sides.

• By multiplying the tension in each cable.

In a practical setup for the parallelogram of forces, what precaution should be taken with the stand?

• It should be placed on a non-slip surface.

• It should be clamped to the bench.

• It should be as light as possible.

When is it necessary to resolve a scale diagram into right angles?

• When finding the resultant of two forces.

• When a force acts horizontally.

• When dealing with multiple forces at different angles.

In Worked Example 2, a car is attached to a rope on a tow truck and pulled up a slope. What is the maximum tension allowed in the rope?

• The force required to pull the car up the slope.

• The maximum force before the rope breaks.

• The resultant force on the car.

What is the relationship between the magnitude and direction of forces in a scale vector diagram?

• The magnitude is represented by the length of the arrow and the direction by the arrowhead.

• The magnitude is represented by the arrowhead and the direction by the length of the arrow.

• Both magnitude and direction are represented by the length of the arrow.

Why is it important to use a ruler and a sharp pencil when drawing a scale diagram for forces?

• To make the diagram visually appealing.

• To ensure accuracy in measuring lengths and angles.

• To prevent smudging of the drawing.

If you are finding the resultant of two forces using a parallelogram, and the angle between them is $90^\circ$, what can you say about the resultant?

• It will be greater than the sum of the individual forces.

• It can be found using Pythagoras' theorem.

• It will always be parallel to one of the original forces.

What is the final step after drawing a parallelogram of forces to find the resultant?

• Measure the angles between the forces.

• Measure the length of the diagonal and apply the scale to find the magnitude.

• Add the individual force vectors.