Let be the vector from the origin to the end of one of the arms, and let be the vector from the center of that arm to one of the seats as shown in Figure 2. Where R 1 is the radius of the longer arm and t is the angle formed with the positive x-axis. Here R 2 is the length of the shorter arm. Since we will want to consider different relative speeds and directions of rotation of the two arms the parameter p has been included in the arguments of the second vector. Most scramblers do not return to the starting point in one revolution.
Scramblers usually rotate in different directions.
Seeing the Component Vectors By using the programming and drawing features of the graphing calculator one can see the path and how the components go together to make the path. Enter the components and separately as the first and second functions in parametric mode. Turns the point on the curve on . As indicated above the value of p affects the number and kind of loops on the path. Several other paths are shown below.