Elements of Natural Philosophy, Part 1 |
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Page 7
A velocity in any direction may be resolved in , and perpendicular to , any other
direction . The first component is found by multiplying the velocity by the cosine of
the angle between the two directions ; the second by using as factor the sine of ...
A velocity in any direction may be resolved in , and perpendicular to , any other
direction . The first component is found by multiplying the velocity by the cosine of
the angle between the two directions ; the second by using as factor the sine of ...
Page 10
Since the velocity in ABD is constant , all the lines OP , 00 , etc. , will be equal ( to
V ) , and therefore POS is a circle whose b B centre is O. The direction of
acceleration at A is parallel to S the tangent at P , that is , is perpendicular to OP ,
i.e. to ...
Since the velocity in ABD is constant , all the lines OP , 00 , etc. , will be equal ( to
V ) , and therefore POS is a circle whose b B centre is O. The direction of
acceleration at A is parallel to S the tangent at P , that is , is perpendicular to OP ,
i.e. to ...
Page 12
Evidently there is no acceleration perpendicular to the plane containing the fixed
point and the line of motion of the moving point at any instant ; and there being no
velocity perpendicular to this plane at starting , there is therefore none ...
Evidently there is no acceleration perpendicular to the plane containing the fixed
point and the line of motion of the moving point at any instant ; and there being no
velocity perpendicular to this plane at starting , there is therefore none ...
Page 13
The Moment of a velocity or of a force about any point is the product of its
magnitude into the perpendicular from the point upon its direction . The moment
of the resultant velocity of a particle about any point in the plane of the
components is ...
The Moment of a velocity or of a force about any point is the product of its
magnitude into the perpendicular from the point upon its direction . The moment
of the resultant velocity of a particle about any point in the plane of the
components is ...
Page 14
For the product of this perpendicular and the velocity at any instant gives double
the area described in one second about the fixed point , which has just been
shown to be a constant quantity . Other examples of these principles will be met
with ...
For the product of this perpendicular and the velocity at any instant gives double
the area described in one second about the fixed point , which has just been
shown to be a constant quantity . Other examples of these principles will be met
with ...
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acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently experience expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire