Center of Mass Calculations

The video tutorial explains how to calculate the center of mass for different systems. It starts with a simple example of two masses on the x-axis, then moves to a scenario involving masses on the y-axis. The tutorial progresses to a more complex system with multiple masses and concludes with a practical example involving a truck and a load. Each section provides step-by-step calculations and visual aids to help understand the concept of center of mass.

Where is the center of mass located for a 5 kg mass at the origin and a 9 kg mass at x = 2 meters?

• At x = 2 meters

• At x = 1.5 meters

• At x = 0.5 meters

• At x = 1.29 meters

For a system with an 8 kg mass at y = 3, where should a 10 kg mass be placed to have the center of mass at y = 4.5?

• At y = 4 meters

• At y = 5 meters

• At y = 5.7 meters

• At y = 6 meters

What is the x-coordinate of the center of mass for masses located at (0,0), (4,0), (0,5), and (5,6)?

• 3.00

• 2.74

• 4.00

• 3.50

What is the y-coordinate of the center of mass for masses located at (0,0), (4,0), (0,5), and (5,6)?

• 3.51

• 3.00

• 4.00

• 2.74

How far behind the front of a 10-meter truck should a 1400 kg load be placed to move the center of mass from 4 to 5 meters?

• 6.5 meters

• 7.0 meters

• 7.86 meters

• 8.5 meters