Exercise 3: A rod 6 meters long has a mass density of 12(x + 1)-1/2, where x is the distance along the rod from one of the ends. What is the center of mass of the rod? Exercise 4: Two objects are placed on a plank of wood (of uniform density) of length 24L. The combined mass of the objects is M. The center of mass of the entire system is 16L. The center of mass of the first object is 6L, and the center of mass of the second object is 21L. What is the mass of the first object?

Physics for Scientists and Engineers: Foundations and Connections
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Chapter10: Systems Of Particles And Conservation Of Momentum
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Exercise 3: A rod 6 meters long has a mass density of 12(x + 1)-1/2, where x is the distance along the rod
from one of the ends. What is the center of mass of the rod?
Exercise 4: Two objects are placed on a plank of wood (of uniform density) of length 24L. The combined
mass of the objects is M. The center of mass of the entire system is 16L. The center of mass of the first
object is 6L, and the center of mass of the second object is 21L. What is the mass of the first object?
Transcribed Image Text:Exercise 3: A rod 6 meters long has a mass density of 12(x + 1)-1/2, where x is the distance along the rod from one of the ends. What is the center of mass of the rod? Exercise 4: Two objects are placed on a plank of wood (of uniform density) of length 24L. The combined mass of the objects is M. The center of mass of the entire system is 16L. The center of mass of the first object is 6L, and the center of mass of the second object is 21L. What is the mass of the first object?
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