Final answer:
A one-link planar robot moving in the x-y plane is likely exhibiting rotational motion, specifically when points on the robot follow circular paths around a fixed pivot point, aligning with concepts of rotational kinematics discussed in physics.
Step-by-step explanation:
The question asks to identify the type of motion exhibited by a one-link planar robot moving in the x-y plane, based on the given options. The types of motion mentioned are linear, rotational, oscillatory, and random. In the context of the question, rotational motion is defined as pure rotational motion occurring when points in an object move in circular paths centered on one point. This is contrasted with pure translational motion, where there is no rotation involved, and the object moves in a straight line. Examples such as a rotating hockey puck on ice combine both translational and rotational motion. The chapter in question discusses the kinematics of rotational motion, including angular variables which describe rotation, and draws parallels between translational and rotational motion.
Based on the described curriculum, it is reasonable to infer that the one-link planar robot would exhibit rotational motion (option B) if it moves about a fixed pivot point in the x-y plane in a manner that each point on the robot follows a circular path about the pivot. This assumes that the robot's link rotates rather than moves linearly or in some other complex pattern. Thus, a one-link planar robot moves in the x-y plane primarily demonstrates rotational motion.