The Principles of Mechanics Designed for the Use of Students in the University
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In our eReader you can find the full English version of the book. Read The Principles of Mechanics Designed for the Use of Students in the University Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Principles of Mechanics Designed for the Use of Students in the University
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If a rotatory motion be communi- cated to a body, and it be then left to move freely, the axis of rotation will pass through the center of gravity. For the center of gravity itself, either remaining at rest or moving uniformly forward in a right line, has no rotation.
Prop. XL.
(185. ) If a body he placed upon an horizontal plane, and a line drawn from it's center of gravity perpendicular to that plane, the body will be sustained, or not, according as the perpendicular falls within or without i...t's base.
Let ABDC represent the body, G it's center of gravity; draw G^ perpendicular to the horizon; join CG, and with the radius CG describe the circular arc HGF; then the body cannot fall over at C, unless the center of gravity describes the circular arc GF. Suppose the whole force of gravity applied at G (Art. 178. ), and take GE to represent it; draw Ex OF GRAVITY* 109 perpendicular to CG; then the force GE is equi- valent to the two Gx, xE, of which Gx cannot move the body either in the direction GF or GH; and when E falls within the base, xE acts at G in the direction GH; therefore the center of gravity cannot describe the arc GF, that is^ the body cannot fall over at C.
What to read after The Principles of Mechanics Designed for the Use of Students in the University?
You can find similar books in the "Read Also" column, or choose other free books by James Wood to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If a rotatory motion be communi- cated to a body, and it be then left to move freely, the axis of rotation will pass through the center of gravity. For the center of gravity itself, either remaining at rest or moving uniformly forward in a right line, has no rotation.
Prop. XL.
(185. ) If a body he placed upon an horizontal plane, and a line drawn from it's center of gravity perpendicular to that plane, the body will be sustained, or not, according as the perpendicular falls within or without i...t's base.
Let ABDC represent the body, G it's center of gravity; draw G^ perpendicular to the horizon; join CG, and with the radius CG describe the circular arc HGF; then the body cannot fall over at C, unless the center of gravity describes the circular arc GF. Suppose the whole force of gravity applied at G (Art. 178. ), and take GE to represent it; draw Ex OF GRAVITY* 109 perpendicular to CG; then the force GE is equi- valent to the two Gx, xE, of which Gx cannot move the body either in the direction GF or GH; and when E falls within the base, xE acts at G in the direction GH; therefore the center of gravity cannot describe the arc GF, that is^ the body cannot fall over at C.
What to read after The Principles of Mechanics Designed for the Use of Students in the University?
You can find similar books in the "Read Also" column, or choose other free books by James Wood to read onlineMoreLess
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