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Coordinates to which the contact point of the wheel and the horizontal line moves, when a circular wheel is rolling

ÀÛ¼ºÀÚ Uploader : sunflower ÀÛ¼ºÀÏ Upload Date: 2019-01-22º¯°æÀÏ Update Date: 2019-01-22Á¶È¸¼ö View : 332

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When a circular wheel with a radius r is rolled over a horizontal line as shown in the figure, the coordinates at which the contact point between the wheel and the horizontal line moves can be expressed using the center angle t (radian).

a = r*sin(t)
b = r*cos(t)

x = r*t - r*sin(t)
y = r - r*cos(t)

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¡á x coordinate



¡á y coordinate



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