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  2. Piston motion equations - Wikipedia

    en.wikipedia.org/wiki/Piston_motion_equations

    For rod length 6" and crank radius 2" (as shown in the example graph below), numerically solving the acceleration zero-crossings finds the velocity maxima/minima to be at crank angles of ±73.17615°. Then, using the triangle law of sines, it is found that the rod-vertical angle is 18.60647° and the crank-rod angle is 88.21738°. Clearly, in ...

  3. List of moments of inertia - Wikipedia

    en.wikipedia.org/wiki/List_of_moments_of_inertia

    Thin rod of length L and mass m, perpendicular to the axis of rotation, rotating about its center. This expression assumes that the rod is an infinitely thin (but rigid) wire. This is a special case of the thin rectangular plate with axis of rotation at the center of the plate, with w = L and h = 0.

  4. Slider-crank linkage - Wikipedia

    en.wikipedia.org/wiki/Slider-crank_linkage

    For example, for rod length 6" and crank radius 2", numerically solving the above equation finds the velocity minima (maximum downward speed) to be at crank angle of 73.17615° after TDC. Then, using the triangle sine law , it is found that the crank to connecting rod angle is 88.21738° and the connecting rod angle is 18.60647° from vertical ...

  5. List of second moments of area - Wikipedia

    en.wikipedia.org/wiki/List_of_second_moments_of_area

    Regular polygons; Description Figure Second moment of area Comment A filled regular (equiliteral) triangle with a side length of a = = [6] The result is valid for both a horizontal and a vertical axis through the centroid, and therefore is also valid for an axis with arbitrary direction that passes through the origin.

  6. Four-bar linkage - Wikipedia

    en.wikipedia.org/wiki/Four-bar_linkage

    The last link is the floating link, which is also called a coupler or connecting rod because it connects an input to the output. Assuming the frame is horizontal there are four possibilities for the input and output links: [2] A crank: can rotate a full 360 degrees; A rocker: can rotate through a limited range of angles which does not include 0 ...

  7. Scotch yoke - Wikipedia

    en.wikipedia.org/wiki/Scotch_yoke

    It allows the elimination of joints typically served by a wrist pin, and near elimination of piston skirts and cylinder scuffing, as side loading of piston due to sine of connecting rod angle is mitigated. The longer the distance between the piston and the yoke, the less wear that occurs, but greater the inertia, making such increases in the ...

  8. Ackermann steering geometry - Wikipedia

    en.wikipedia.org/wiki/Ackermann_steering_geometry

    The steering pivot points [clarification needed] are joined by a rigid bar called the tie rod, which can also be part of the steering mechanism, in the form of a rack and pinion for instance. With perfect Ackermann, at any angle of steering, the centre point of all of the circles traced by all wheels will lie at a common point.

  9. Ellipsograph - Wikipedia

    en.wikipedia.org/wiki/Ellipsograph

    Let C be the outer end of the rod, and A, B be the pivots of the sliders. Let AB and BC be the distances from A to B and B to C, respectively. Let us assume that sliders A and B move along the y and x coordinate axes, respectively. When the rod makes an angle θ with the x-axis, the coordinates of point C are given by