KinematicsCRC Press, 1983 - 223 Seiten |
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Häufige Begriffe und Wortgruppen
acceleration algebra angle angular velocity attitude axodes cartesian coordinate system center of mass centrodes circle coincident column of C21 common normal components coning constant cradle curvature curve cutter cylinder determined differentiated with respect direction cosines displacement dt/ds earth elements ellipse ellipsoid equal equation equinox Euler's example expanded fixed in body gimbal given gyro hypoid imaginary generating gear inertia matrix inertial space instant center instantaneous screw kinematics machine mirror motion multiplied O₁ obtained osculating plane parallel parameters path pinion plane point fixed point of contact position vector positive sense principal axes Problem projection quaternion relative to system rigid body scalar product screw axis Sect square matrix subscripts substituted sunrise surface tangent teeth theorem tion trailer transformed to system unit vectors values vector product vehicle written X₁ Z₁ zero Сф
Beliebte Passagen
Seite 200 - Dt = 0 is the line of intersection of the plane of the circle and the plane
Seite 148 - The area of an ellipse is nab, where a is half the major axis and b is half the minor axis.
Seite 19 - These relations may be expressed verbally by saying that, in the determinant | cti \ of the coefficients, the sum of the squares of the elements in any row or in any column is equal to unity, while the sum of the products of corresponding elements in any two rows or in any two columns is equal to zero. The determinant of the coefficients is equal to + 1 ; and consequently the Jacobian of the £'s with respect to the z's is also + 1.
Seite xv - The element in the first row and second column of the matrix AB, c12, is the number 0U*12 + 012*22 + a13*32.
Seite 6 - Because the direction cosines of a line L can be expressed in terms of the differences of the coordinates of any two points on the line and the...
Seite 46 - This matrix is transposed and each element replaced by its cofactor (ie its minor times (-1)(i+J), where i is the row number and j the column number of the element...
Seite 209 - Zz = 0. *•' , y , z' x" , y" , z" As the tangent at P is the limiting position of a secant through P and a consecutive point P1, and the tangent at P is the limiting position of a secant through P and another consecutive point P", the osculating plane at P is the limiting position of a plane through P and two consecutive points. Three points usually suffice to determine a plane uniquely ; and so the osculating...
Seite 146 - The one day difference is due to the fact that the earth revolves around the sun in...
Seite 126 - From the fact that the products of the segments of intersecting chords of a circle are equal, it follows that X - VT Xn,t=T x,t = Fig.