An Elementary Treatise On Mechanics for the Use of the Junior Classes At the U
An Elementary Treatise On Mechanics for the Use of the Junior Classes At the U
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In our eReader you can find the full English version of the book. Read An Elementary Treatise On Mechanics for the Use of the Junior Classes At the U 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 An Elementary Treatise On Mechanics for the Use of the Junior Classes At the U
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To quickly assess the difficulty of the text, read a short excerpt:
2a-i= -, or a=j + -, tn o^Aer words, when the direction of projection bisects the angle between the plane and the vertical.
REFERRED TO CO-ORDINATE AXES.
231 88. To find the equation to the path of a projectile referred to horizontal and vertical co-ordinate axes.
Let A be the point of pro- ^ jection, Ay vertical, and Ax horizontal in the plane in which the projectile moves.
AN=x, NP=y, the hori- zontal and vertical co-ordinates / of the particle at time t after projection, v the velocity and a... the elevation of projection. Let NP be produced to meet in T the line A T which represents the direction of projection.
Then the horizontal velocity = v cos cc, which remains uniform, and the initial vertical velocity = v- sin a.
And we have x = AN=vco$ a . T (i).
And NP represents the space passed over parallel to Ay in time t by a particle projected with a velocity v sin a, and retarded by a force g hence by Art. (70) y = NP = v sin a . T \gtf (ii).
Eliminating t between (i), (ii), we get gx* y ~ 2fl*cos 2 a'~ ** ' '* which is the equation to the path required, and represents a parabola.
What to read after An Elementary Treatise On Mechanics for the Use of the Junior Classes At the U?
You can find similar books in the "Read Also" column, or choose other free books by S Stephen Parkinson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2a-i= -, or a=j + -, tn o^Aer words, when the direction of projection bisects the angle between the plane and the vertical.
REFERRED TO CO-ORDINATE AXES.
231 88. To find the equation to the path of a projectile referred to horizontal and vertical co-ordinate axes.
Let A be the point of pro- ^ jection, Ay vertical, and Ax horizontal in the plane in which the projectile moves.
AN=x, NP=y, the hori- zontal and vertical co-ordinates / of the particle at time t after projection, v the velocity and a... the elevation of projection. Let NP be produced to meet in T the line A T which represents the direction of projection.
Then the horizontal velocity = v cos cc, which remains uniform, and the initial vertical velocity = v- sin a.
And we have x = AN=vco$ a . T (i).
And NP represents the space passed over parallel to Ay in time t by a particle projected with a velocity v sin a, and retarded by a force g hence by Art. (70) y = NP = v sin a . T \gtf (ii).
Eliminating t between (i), (ii), we get gx* y ~ 2fl*cos 2 a'~ ** ' '* which is the equation to the path required, and represents a parabola.
What to read after An Elementary Treatise On Mechanics for the Use of the Junior Classes At the U?
You can find similar books in the "Read Also" column, or choose other free books by S Stephen Parkinson to read onlineMoreLess
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