25. ..s) Two circles, each of radius r, have their centers located at (0,2) and (0,3). Each is used to create a volume of revolution that is a torus when the circle is rotated 360° around the x axis. Using a concept from this course, prove mathematically that the ratio of the volumes of the two toruses is 1.5.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...
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25.
s) Two circles, each of radius r, have their centers located at (0,2) and (0,3).
Each is used to create a volume of revolution that is a torus when the circle is rotated 360°
around the x axis. Using a concept from this course, prove mathematically that the ratio of
the volumes of the two toruses is 1.5.
1000
26. (
the figure. The weight of the plate and the loads on the plate are equivalent to a 1000-lb
force acting at the point D. Are the 3 tensions in the cables statically determined? If no,
why not? If yes, what are their values?
A horizontal rectangular plate is supported by 3 vertical cables as shown in
Transcribed Image Text:25. s) Two circles, each of radius r, have their centers located at (0,2) and (0,3). Each is used to create a volume of revolution that is a torus when the circle is rotated 360° around the x axis. Using a concept from this course, prove mathematically that the ratio of the volumes of the two toruses is 1.5. 1000 26. ( the figure. The weight of the plate and the loads on the plate are equivalent to a 1000-lb force acting at the point D. Are the 3 tensions in the cables statically determined? If no, why not? If yes, what are their values? A horizontal rectangular plate is supported by 3 vertical cables as shown in
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