Elements of the Kinematics of a Point And the Rational Mechanics of a Particle
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Relative motion. Consider the motion of two mobiles along the same line X'OX (fig. 18). Let M c and M a ^ Me Ma ~0~ FIG. 18.
represent the two mobiles and x c and x a their abscissas, or displacements, referred to the origin 0. Denote the distance M c M a by r, and let the sign of r be determined by the relation ?r=X a -X c [44] The algebraic value of r then determines the relative positions of M c and M a, that is, it determines their dis- tance apart and their order on the line X'OX, so that ...given the position of one of them the position of the other can be 51 52 ELEMENTS OF KINEMATICS AND MECHANICS determined ivithout ambiguity. R is termed the relative displacement of M a with respect to M c .
If we are concerned with the relative positions only of two mobiles, as of two runners or of two race-horses, it is necessary to know r only. In distinction, x a and x c are called the absolute displacements of M a and M c, and if we require the absolute positions of the two runners on the race-track, then x a and x c must both be known.
What to read after Elements of the Kinematics of a Point And the Rational Mechanics of a Particle?
You can find similar books in the "Read Also" column, or choose other free books by George Oscar James to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Relative motion. Consider the motion of two mobiles along the same line X'OX (fig. 18). Let M c and M a ^ Me Ma ~0~ FIG. 18.
represent the two mobiles and x c and x a their abscissas, or displacements, referred to the origin 0. Denote the distance M c M a by r, and let the sign of r be determined by the relation ?r=X a -X c [44] The algebraic value of r then determines the relative positions of M c and M a, that is, it determines their dis- tance apart and their order on the line X'OX, so that ...given the position of one of them the position of the other can be 51 52 ELEMENTS OF KINEMATICS AND MECHANICS determined ivithout ambiguity. R is termed the relative displacement of M a with respect to M c .
If we are concerned with the relative positions only of two mobiles, as of two runners or of two race-horses, it is necessary to know r only. In distinction, x a and x c are called the absolute displacements of M a and M c, and if we require the absolute positions of the two runners on the race-track, then x a and x c must both be known.
What to read after Elements of the Kinematics of a Point And the Rational Mechanics of a Particle?
You can find similar books in the "Read Also" column, or choose other free books by George Oscar James to read onlineMoreLess
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