A meter stick is pivoted at its 50cm mark but does not balance because of non-uniformities in its material that cause its center of gravity to be displaced from its geometrical center. However, when weights of 150g and 300g are placed at the 10cm and 75cm marks, respectively, balance is obtained. The weights are then interchanged, and balance is again obtained by shifting the pivot point to the 43cm mark. Find the mass of the meter stick and the location of its center of gravity.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 31PQ: A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm...
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A meter stick is pivoted at its 50cm mark but does not balance because of non-uniformities in its material that cause its center of gravity to be displaced from its geometrical center. However, when weights of 150g and 300g are placed at the 10cm and 75cm marks, respectively, balance is obtained. The weights are then interchanged, and balance is again obtained by shifting the pivot point to the 43cm mark. Find the mass of the meter stick and the location of its center of gravity.

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