Mathematics, 08.04.2020 01:32 lilGi0
Let P be a point at a distance d from the center of a circle of radius r. The curve traced out by P as the circle rolls along a straight line is called a trochoid. (Think of the motion of a point on a spoke of a bicycle wheel.) The cycloid is the special case of an trochoid with d = r. Using the same parameter θ as for the cycloid and, assuming the line is the x-axis and θ = 0 when P is at one of its lowest points, parametric equations of the trochoid are x = rθ − d sin(θ) y = r − d cos(θ). Find the area under one arch of the trochoid found above for the case d < r.
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Let P be a point at a distance d from the center of a circle of radius r. The curve traced out by P...
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