Concept explainers
Determine by direct integration the values of
A semiellipsoid of revolution
To determine the value of
Answer to Problem 5.123P
The value of
Explanation of Solution
Refer Fig. P5.21 and Fig. 1.
Let the element of volume of the disk be of radius r and thickness dx.
Find the equation for radius from the equation of the generating curve.
Here, the y component is equal to the radius,
Write the expression for the volume of the element.
Find the centroid of the element.
Here,
Write the expression for the
Conclusion:
Refer Fig.2
Calculate the volume of component 1.
Calculate
Substitute
Thus, the value of
Calculate the volume of component 2.
Calculate
Substitute
Thus, the value of
Therefore, the value of
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Chapter 5 Solutions
Vector Mechanics for Engineers: Statics
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- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L