Center of Mass and Work Problem

AI Thread Summary
The problem involves calculating the work done by laborers to position stone blocks in the construction of a large isosceles triangular monument. The monument's dimensions are 17.6 m in height, 69.4 m in width, and 3.30 m in thickness, with a density of 3,174 kg/m³. The total volume of the monument is calculated to be 4,030.752 m³, leading to a mass of approximately 12,793,606.85 kg. To find the work done, the center of mass must be determined, which for a triangular shape is located at its centroid. The final work equation incorporates mass, gravity, and the center of mass to yield the total work done.
JoeyM88
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Homework Statement



Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle . The monument is made from tens of thousands of small stone blocks of density 3 174 kg/m3. The monument is 17.6 m high and 69.4 m wide at its base and is everywhere 3.30 m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. How much work did laborers do on the blocks to put them in position while building the entire monument?

Homework Equations


Work = (Mass*Gravity*Center of Mass)



The Attempt at a Solution


Volume=(17.6*69.4*3.30)=4030.752
Mass = (3174*4030.752)=12793606.85kg
Center of Mass=?
Work=(12793606.85kg*9.8*Center of Mass)
 
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your volume is what a rectangular shape would have (twice too large).
the center of mass for a triangle is the centroid.
 

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