Cycloid (Leaving Cert DCG): Flashcards

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Cycloid
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Cycloid definition

Path traced by point on circle rolling along straight line

Family of curves cycloids belong to

Roulettes

Typical number of circle divisions

12 equal parts

Distance circle moves per division

One-twelfth of circumference

Maximum height of cycloid

Diameter of circle (dd)

Total width of one complete arch

Circumference of circle (2pir2pi r)

Level of cycloid start and end points

Same level as base line

When cycloid reaches highest point

When Point P is at top of rolling circle

Characteristics of proper cycloid

Smooth, symmetrical, no sharp corners

Method using vertical lines

Perpendiculars from circle divisions

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