(a) Find the area of the region bounded by the x axis and one arch of...
Question:
(a) Find the area of the region bounded by the x axis and one arch of the cycloid
where a is a positive constant.
(b) Show that the radius of curvature of the cycloid defined in (a) at the point O is given by
What is the maximum value of ρ?
(c) Discuss the nature of the radius of curvature when θ = 0 or θ = 2π.
(d) Determine the length of one arch of the cycloid.
Transcribed Image Text:
x = a(0 sin0), y = a(1 = cos 0) (0 0 2)
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