The Theory of Screws Microform a Study in the Dynamics of a Rigid Body
The Theory of Screws Microform a Study in the Dynamics of a Rigid Body
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In our eReader you can find the full English version of the book. Read The Theory of Screws Microform a Study in the Dynamics of a Rigid Body 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 Theory of Screws Microform a Study in the Dynamics of a Rigid Body
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When X is found, the cylindroid (TJ X) can be drawn, and thus p is determined. The position of p on C' will point out the screw on C, about which the body will commence to twist, while the position of p on (rj, X), and the known intensity of the wrench on ?;, will determine the intensity of the wrench on X.
t 2 CHAPTER XI.
THE DYNAMICS OF A RIGID BODY, WHICH HAS FREEDOM OF THE THIRD ORDER.
107. Introduction. The dynamics of a rigid body which has freedom of the third order, possesses a special ...claim to attention, for, included as a particular case, we have the celebrated problem of the rotation of a rigid body about a fixed point. In the theory of screws the screw complex of the third order is characterised by the feature that the reciprocal screw complex is also of the third order, and this is a fertile source of interesting theorems.
We shall first study the screw complex of the third order, and its reciprocal. We shall then show how the instantaneous screw, corresponding to a given impulsive screw, can be determined for a rigid body whose move- ments are prescribed by any screw complex of the third order.
What to read after The Theory of Screws Microform a Study in the Dynamics of a Rigid Body?
You can find similar books in the "Read Also" column, or choose other free books by Robert S Robert Stawell Ball to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
When X is found, the cylindroid (TJ X) can be drawn, and thus p is determined. The position of p on C' will point out the screw on C, about which the body will commence to twist, while the position of p on (rj, X), and the known intensity of the wrench on ?;, will determine the intensity of the wrench on X.
t 2 CHAPTER XI.
THE DYNAMICS OF A RIGID BODY, WHICH HAS FREEDOM OF THE THIRD ORDER.
107. Introduction. The dynamics of a rigid body which has freedom of the third order, possesses a special ...claim to attention, for, included as a particular case, we have the celebrated problem of the rotation of a rigid body about a fixed point. In the theory of screws the screw complex of the third order is characterised by the feature that the reciprocal screw complex is also of the third order, and this is a fertile source of interesting theorems.
We shall first study the screw complex of the third order, and its reciprocal. We shall then show how the instantaneous screw, corresponding to a given impulsive screw, can be determined for a rigid body whose move- ments are prescribed by any screw complex of the third order.
What to read after The Theory of Screws Microform a Study in the Dynamics of a Rigid Body?
You can find similar books in the "Read Also" column, or choose other free books by Robert S Robert Stawell Ball to read onlineMoreLess
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