Graphical Method for Resultant Forces

This video tutorial demonstrates how to verify an analytical solution using a graphical method. It begins with a recap of the mathematical solution for calculating the resultant force and angle. The video then explains the graphical method, which involves drawing forces to scale and connecting them head-to-tail. By measuring the resultant vector, viewers can compare it to the analytical result, highlighting potential errors due to drawing inaccuracies.

What is the main purpose of using a graphical method in this video?

• To solve a completely different problem

• To introduce a new mathematical concept

• To verify the analytical solution from the previous video

• To demonstrate a new software tool

What was the resultant force calculated in the previous video?

• 120 Newtons

• 95 Newtons

• 100 Newtons

• 108.7 Newtons

How are forces added together in the graphical method?

• By multiplying their magnitudes

• By connecting them head to tail

• By subtracting their magnitudes

• By dividing their magnitudes

What tool is used to ensure the angle is drawn correctly in the graphical method?

• A calculator

• A compass

• A ruler

• A protractor

What scale is chosen for drawing the 100 Newton force?

• 1 cm = 50 Newtons

• 1 cm = 20 Newtons

• 1 cm = 10 Newtons

• 1 cm = 5 Newtons

What is the length of the line representing the 100 Newton force at the chosen scale?

• 20 cm

• 15 cm

• 5 cm

• 10 cm

What is the measured resultant force using the graphical method?

• 100 Newtons

• 108 Newtons

• 110 Newtons

• 115 Newtons

What is the measured angle of the resultant force using the graphical method?

• 27 degrees

• 28 degrees

• 25 degrees

• 26 degrees

How does the measured angle compare to the calculated angle?

• It is exactly the same

• It is slightly less

• It is slightly more

• It is completely different

What is a common source of error in the graphical method?

• Incorrect mathematical calculations

• Inaccurate drawing or measurement

• Using the wrong type of paper

• Forgetting to use a ruler