Answer: Determine the distance h to which a

Chapter 9, Problem 9-84

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QUESTION:

Determine the distance h to which a 100-mm-diameter hole must be bored into the base of the cone so that the center of mass of the resulting shape is located at \((\bar{z}\) = 115 mm. The material has a density of 8 Mg/\(m^{3}\)

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QUESTION:

Determine the distance h to which a 100-mm-diameter hole must be bored into the base of the cone so that the center of mass of the resulting shape is located at \((\bar{z}\) = 115 mm. The material has a density of 8 Mg/\(m^{3}\)

ANSWER:

Step 1 of 4

We need to determine the height of the cylinder that must be hollowed so that the  of the hollowed cone is  above its base. The material has a density of .

We can construct this hollowed cone by superimposing the whole cone with positive volume and cylinder with negative volume.

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