SUMMARY
The center of mass for three stacked cubic boxes, with the lowest box containing 25 kg of gold bars, the middle box containing 10 kg of aluminum bars, and the top box containing 2 kg of balsa wood, is calculated to be 0.137 meters above the floor. The formula used for this calculation is \(\Sigma mx / \Sigma m\), where the origin is set at the bottom of the gold bar. The total mass of the stacked boxes is 37 kg, and the heights of the center of mass for each box are factored into the calculation. The discussion highlights the importance of recognizing the center of mass in symmetrical objects.
PREREQUISITES
- Understanding of center of mass calculations
- Familiarity with basic physics concepts related to mass and weight
- Knowledge of cubic geometry and dimensions
- Ability to perform weighted averages
NEXT STEPS
- Study the principles of center of mass in various geometrical shapes
- Learn about the impact of mass distribution on stability
- Explore advanced applications of center of mass in engineering and physics
- Review problems involving multiple objects and their combined center of mass
USEFUL FOR
Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the principles of center of mass in stacked objects.
