Let Q be a point at a distance d from the center of a circle of radius r. The cu

Q: Let Q be a point at a distance d from the center of a circle of radius r. The cu

Solution: Option(b) Explanation: The parametric equations of the trochoid are: x=r - dsin y=r-dcos given d = 2 and r = 3. parametric equations are x=3-2sin and y=3-2cos

ID: 1721456 • Letter: L

Question

Let Q be a point at a distance d from the center of a circle of radius r. The curve traced out by Q 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 a trochoid with d = r. Using the same parameter theta as for the cycloid and assuming the line is the x-axis and theta = 0 when Q is at one of its lowest points, find the parametric equations of the trochoid and write it for d = 2 and r = 3.

Explanation / Answer

Solution:

Option(b)

Explanation:

The parametric equations of the trochoid are:

x=r - dsin

y=r-dcos

given d = 2 and r = 3.

parametric equations are x=3-2sin

and y=3-2cos

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Let Q be a point at a distance d from the center of a circle of radius r. The cu

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