Which of the following best describes the motion of a working gyroscope moving through space?
a. the gyroscope both translates and rotates
b. the gyroscope rotates, abut does not translate
c. the gyroscope neither translates nor rotates
d. the gyroscopes translates, but does not rotates
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It translates and rotates.
The correct answer is b. The gyroscope rotates, but does not translate.
To arrive at this answer, we need to understand the basic principles of how a gyroscope works. A gyroscope is a rotating device that exhibits the property of angular momentum, which causes it to resist changes in its orientation. The motion of a gyroscope is influenced by the conservation of angular momentum.
When a gyroscope is in motion, it spins around its axis and maintains its orientation in space. This means that it rotates but does not change its position or move from one place to another. In other words, it does not translate.
To determine this, one can visualize the motion of a gyroscope or observe its behavior in various situations. By recognizing that a gyroscope is designed to primarily rotate and not move in a linear fashion, we can conclude that the gyroscope rotates but does not translate. Therefore, option b is the correct description.
Newtons first law: if it is moving through space, it will continue to move as it was. If it was translating, it continues to do so. If it was rotating ("working') then it continues to rotate.
Now in "space", this does not consider external forces, such as Gravity, if gravity is acting, then it is more complicated.