Center of Mass - Grade 12 Physics
A Grade 12 Physics worksheet covering concepts related to the center of mass, including calculations for various systems and its importance in stability and motion.
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Center of Mass - Grade 12 Physics
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Read each question carefully and provide your answers in the space provided. Show all your work for calculation-based problems.
1. The center of mass of a system of particles is the point where:
All the mass of the system is concentrated.
The net external force on the system acts.
The system would balance if supported at that point.
All of the above.
2. For a uniform object, the center of mass is located at its:
Edge
Geometric center
Heaviest point
Any point within the object
1. The center of mass is a unique point for a system of particles, while the center of gravity depends on the distribution of the field.
2. If an object is in stable equilibrium, its center of mass is at its possible position.
1. Explain the difference between the center of mass and the center of gravity. Under what conditions are they approximately the same?
2. A uniform rod of length L has a mass M. If a point mass m is attached to one end of the rod, derive an expression for the position of the center of mass of the combined system.
1. The center of mass of an object must always be located within the physical boundaries of the object.
True
False
2. The acceleration of the center of mass of a system is always zero if the net external force acting on the system is zero.
True
False
A system consists of three particles with masses m1 = 2 kg, m2 = 3 kg, and m3 = 5 kg located at positions (1, 2) m, (-2, 1) m, and (3, -1) m respectively. Calculate the coordinates of the center of mass of this system.