Cycloid (Leaving Cert DCG): Flashcards
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Cycloid definition
Cycloid definition
Path traced by point on circle rolling along straight line
Family of curves cycloids belong to
Family of curves cycloids belong to
Roulettes
Typical number of circle divisions
Typical number of circle divisions
12 equal parts
Distance circle moves per division
Distance circle moves per division
One-twelfth of circumference
Maximum height of cycloid
Maximum height of cycloid
Diameter of circle ()
Total width of one complete arch
Total width of one complete arch
Circumference of circle ()
Level of cycloid start and end points
Level of cycloid start and end points
Same level as base line
When cycloid reaches highest point
When cycloid reaches highest point
When Point P is at top of rolling circle
Characteristics of proper cycloid
Characteristics of proper cycloid
Smooth, symmetrical, no sharp corners
Method using vertical lines
Method using vertical lines
Perpendiculars from circle divisions
