Samantha has a dog that loves to chase flying disks. To keep her disk sperate form other disks, Samantha painted a triangle on it, with one point of the triangle in the center of the disk. As she throws the disk for the dog, what two transformations does the triangle undergo?
Can you help me with this?
(1) The triangle's centroid (which is off center with resoect to the disc) moves along the path of the disc and (2) also wobbles back and forth across the center of the disc, with a frequency equal to the spin frequency f. (3) The triangle also rotates about its own centroid with frequency f.
What are perpendicular lines?
Certainly! To determine the two transformations that the triangle undergoes, let's consider the initial shape of the triangle and how it changes as the disk is thrown.
The first transformation that occurs is a rotation of the triangle. As Samantha throws the disk, it starts spinning in the air. This spinning motion causes the triangle to rotate around its center point. The amount and direction of rotation will depend on how the disk is thrown.
The second transformation is a translation of the triangle. As the disk moves through the air, it also moves in a specific direction and distance. This movement of the disk causes the triangle to translate or shift in that same direction and distance.
By observing the disk's rotation and translation, we can determine the two transformations that the triangle undergoes.