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Illustration showing two points a and b to be in the same plane and parallel.

Motions Of 2 Points In Same Plane And Parallel

Illustration showing two points a and b to be in the same plane and parallel.

Illustration showing two points a and b to be in the same plane and parallel.

Motions Of 2 Points In Same Plane And Parallel

Illustration showing two points a and b to be in the same plane and parallel.

Illustration showing three points a, b, and c in motion. The magnitude and direction of a and b are used to find the l.v. of c.

Motions Of 3 Points

Illustration showing three points a, b, and c in motion. The magnitude and direction of a and b are…

Illustration used "If three component motions ab, ac, and ad are combined, their resultant af will be the diagonal of the parallelopiped of which they are the edges."

Parallelopiped of Motions

Illustration used "If three component motions ab, ac, and ad are combined, their resultant af will be…

Illustration "where ad is the given resultant, if the two components have the magnitudes represented by ac and ab, the directions ac and ab would solve the problem, or the direction ac<sub>1</sub> and ab<sub>1</sub> would equally well fulfil (sic) the conditions."

Vector Addition Given Resultant

Illustration "where ad is the given resultant, if the two components have the magnitudes represented…

Illustration used to resolve a motion into two components, one of which is perpendicular, and the other parallel, to a given line, as ef. Vector ad represents the motion; ab = ad cos(dab), the component parallel to ef; and ac = ad sin(dab), the components perpendicular to ef.

Vector Motion Into Two Components - Resultant

Illustration used to resolve a motion into two components, one of which is perpendicular, and the other…

Illustration for rigidly-connected points. "If two points are so connected that their distance apart is invariable and if their velocities are resolved into components at right angles to and along the straight line connecting them, the components along this line of connection must be equal, otherwise the distance between the points would change."

Velocities Of Rigidly-connected Points

Illustration for rigidly-connected points. "If two points are so connected that their distance apart…

Illustration for rigidly-connected points. In the series of links shown, c and d are fixed axes and f slides on the line ff<sub>1</sub>.

Velocities Of Rigidly-connected Points

Illustration for rigidly-connected points. In the series of links shown, c and d are fixed axes and…

Illustration showing two component forces ab and ac acting upon point a. The result is the vector ad (the diagonal of the parallelogram).

Vector Addition

Illustration showing two component forces ab and ac acting upon point a. The result is the vector ad…