A Text-Book On Applied Mechanics: Specially Arranged for the Use of Science ... 2
A Text-Book On Applied Mechanics: Specially Arranged for the Use of Science ... 2
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In our eReader you can find the full English version of the book. Read A Text-Book On Applied Mechanics: Specially Arranged for the Use of Science ... 2 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 A Text-Book On Applied Mechanics: Specially Arranged for the Use of Science ... 2
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To quickly assess the difficulty of the text, read a short excerpt:
At that instant, the wheel A is rotating about this line as an instantaneous axis. Clearly, this instantaneous axis passes through the pitch point, p, and is parallel to the axis of A or B.
Hence, at a given instant any point, P, on wheel A is rotating about the axis through p, with an angular velocity (w^ + u^).
By similar reasoning, if each of the wheels in internal contact receive an angular - w^, then wheel B will be brought to rest,, and any point on wheel A will be rotating about the inst...antaneous axis through p, with an angular velocity (w^ - w^).
If, then, P be a point of contact between a pair of teeth, P /? is the direction of the common normal to the two teeth at that point, and the velocity of P perpendicular to Fp is the velocity of sliding between the teeth.
Let V s= Velocity of pitch circles.
„ V = Velocity of P perpendicular to "Pp.
„ r = Distance of P from pitch point, p.
Then, from what has been demonstrated above, we get :^ Or, V = («i + w^) r, for external gearing, „ = (wjL - W2) ^y » internal „ But, V = Wj Rj, = W2 Rg- Let arc p P be denoted by a?, and suppose the wheels to receive a small* citcular* displacement, dx, as measured along the pitch 298 LECTURE XVI.
What to read after A Text-Book On Applied Mechanics: Specially Arranged for the Use of Science ... 2?
You can find similar books in the "Read Also" column, or choose other free books by Andrew Jamieson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
At that instant, the wheel A is rotating about this line as an instantaneous axis. Clearly, this instantaneous axis passes through the pitch point, p, and is parallel to the axis of A or B.
Hence, at a given instant any point, P, on wheel A is rotating about the axis through p, with an angular velocity (w^ + u^).
By similar reasoning, if each of the wheels in internal contact receive an angular - w^, then wheel B will be brought to rest,, and any point on wheel A will be rotating about the inst...antaneous axis through p, with an angular velocity (w^ - w^).
If, then, P be a point of contact between a pair of teeth, P /? is the direction of the common normal to the two teeth at that point, and the velocity of P perpendicular to Fp is the velocity of sliding between the teeth.
Let V s= Velocity of pitch circles.
„ V = Velocity of P perpendicular to "Pp.
„ r = Distance of P from pitch point, p.
Then, from what has been demonstrated above, we get :^ Or, V = («i + w^) r, for external gearing, „ = (wjL - W2) ^y » internal „ But, V = Wj Rj, = W2 Rg- Let arc p P be denoted by a?, and suppose the wheels to receive a small* citcular* displacement, dx, as measured along the pitch 298 LECTURE XVI.
What to read after A Text-Book On Applied Mechanics: Specially Arranged for the Use of Science ... 2?
You can find similar books in the "Read Also" column, or choose other free books by Andrew Jamieson to read onlineMoreLess
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