Analytical Elements of Mechanics, Volume 1Academic Press, 1959 - Mechanics, Analytic |
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Page xii
... Vector in terms of dot products ; 1.14.10 Components and resolutes ; 1.14.11 Square of a vec- tor . VECTOR ... Position vector 41 2.1.1 Zero vector . 2.2 Position vector and coordinates 2.3 First moment 2.4 Centroid 2.4.1 Position vector ...
... Vector in terms of dot products ; 1.14.10 Components and resolutes ; 1.14.11 Square of a vec- tor . VECTOR ... Position vector 41 2.1.1 Zero vector . 2.2 Position vector and coordinates 2.3 First moment 2.4 Centroid 2.4.1 Position vector ...
Page 41
... position vector of a point P relative to a point O is a vector p having the following characteristics : Magnitude : The length of line OP Orientation : Parallel to line OP Sense : OP When a sketch of p is drawn , it is customary to show ...
... position vector of a point P relative to a point O is a vector p having the following characteristics : Magnitude : The length of line OP Orientation : Parallel to line OP Sense : OP When a sketch of p is drawn , it is customary to show ...
Page 76
... position vector of P * relative to O the position vector of P relative to O the position vector of P relative to O It must be shown that p * = p . Now , p * = 1 m املة Pp dr , p = -pdr T If p is independent of the position of P , then ...
... position vector of P * relative to O the position vector of P relative to O the position vector of P relative to O It must be shown that p * = p . Now , p * = 1 m املة Pp dr , p = -pdr T If p is independent of the position of P , then ...
Contents
VECTOR ALGEBRA | 1 |
CENTROIDS AND MASS CENTERS | 59 |
MOMENTS AND COUPLES | 81 |
Copyright | |
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action of F action passes angle b₁ b₂ bound vectors cable cartesian coordinate system components contact forces exerted coordinates couple of torque couple whose torque curve Determine the magnitude distance dot product equal to zero equivalent evaluate expressed F whose line F₁ F₂ Force equations force F force system force whose line forces shown ft lb given gravitational force exerted Hence intersect L₁ line of action Locate the centroid mass center measure numbers MF/A moments MS/A MS/O mutually perpendicular unit Mv/L n₁ n₂ P₁ particle of mass passes through point perpendicular unit vectors position vector PROBLEM SET Proof reaction Referring to Problem relative replaced resolute resultant scalar equations set of points shaft shown in Fig shows simple couple single force Solution sphere strengths system of contact system of forces T₂ traction unit vector parallel v₁ v₂ wire zero system