Vectors and Rotors: With ApplicationsE. Arnold, 1903 - 204 sider |
Inni boken
Resultat 1-5 av 21
Side 4
... acting on a body at a definite point is a localized vector . 8 . Definition . A localized vector is called a Rotor ( Clifford ) . 9. All quantities used by Euclid and those used in ordinary Algebra are scalars , and these branches of ...
... acting on a body at a definite point is a localized vector . 8 . Definition . A localized vector is called a Rotor ( Clifford ) . 9. All quantities used by Euclid and those used in ordinary Algebra are scalars , and these branches of ...
Side 40
... acting at that point would produce equilibrium . This force is called the Equilibrant of the given forces . It is also a matter of experience that two equal and opposite forces acting at a point are in equilibrium . Hence a force equal ...
... acting at that point would produce equilibrium . This force is called the Equilibrant of the given forces . It is also a matter of experience that two equal and opposite forces acting at a point are in equilibrium . Hence a force equal ...
Side 41
... acting at a point are in equilibrium . 58. We will now consider some examples . ( a ) A weight W is placed on a smooth inclined plane and is kept at rest by a force acting up the plane . Determine the magnitude of this force and the ...
... acting at a point are in equilibrium . 58. We will now consider some examples . ( a ) A weight W is placed on a smooth inclined plane and is kept at rest by a force acting up the plane . Determine the magnitude of this force and the ...
Side 42
... acting up the plane is applied by means of a string carried over a pulley A and supporting a weight P. Since there is equilibrium , the vector - polygon of W vertically downwards , P along the plane , and R 1 ' to plane must be closed ...
... acting up the plane is applied by means of a string carried over a pulley A and supporting a weight P. Since there is equilibrium , the vector - polygon of W vertically downwards , P along the plane , and R 1 ' to plane must be closed ...
Side 47
... acting through the mid - point , and the reaction of the smooth wall ) and can therefore find by the Vector Polygon the magnitudes and senses of the reactions where the ladder touches the wall and the ground . EXERCISES IV . ( 1 ) ...
... acting through the mid - point , and the reaction of the smooth wall ) and can therefore find by the Vector Polygon the magnitudes and senses of the reactions where the ladder touches the wall and the ground . EXERCISES IV . ( 1 ) ...
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Vectors and Rotors: With Applications Olaus Henrici,George Charles Turner Uten tilgangsbegrensning - 1903 |
Vanlige uttrykk og setninger
a₁ Algebra angle applied axis B₁ B₂ bars base beam bending bending moment bisect C₁ called centre collinear Commutative Law components compression coordinates coplanar corresponding definite denote determined diagonals direction and sense distance divide draw drawn equal equation equilibrium figure find the mass-centre forces acting frame friction geometrical girder give given points given rotors Hence the mass-centre horizontal length line joining line parallel link-polygon load m₁ magnitude mass mass-points mid-point momental area move negative number of vectors orts parallel rotors parallelogram parallelopiped perpendicular plane pole polygon position vector projection quantity reaction rectangle represent rigid body scalar product shearing force shew shewn sides straight line stress diagram string Suppose system of rotors tension tetrahedron theorem tons triangle vanishes vector product vector-polygon vertex vertices weight
Populære avsnitt
Side 21 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 29 - ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one...
Side 8 - If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts.
Side 112 - ... is equal to the rectangle contained by the segments of the other.
Side 17 - ... from the beginning of the first to the end of the last...