Final answer:
The center of mass of a uniform narrow bar on ice given a transverse impulse will undergo both translational and rotational motion.
Step-by-step explanation:
When a uniform narrow bar resting on ice is given a transverse horizontal impulse at one end, the center of mass (COM) of the bar will experience translational and rotational motion. The translational motion will be evident as the entire bar begins moving in the direction of the applied impulse due to Newton's second law, while the rotational motion will occur because the impulse provides a torque about the COM, causing the bar to spin. The precise motion of the COM will depend on factors such as the mass distribution of the bar and the impulse magnitude.