What happens to a rod when an impulse is applied and it's floating in space?

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When an impulse is applied to one end of a uniform rod floating in space, it experiences both translational and rotational motion. The center of mass of the rod will gain a velocity proportional to the impulse applied, while the rod will also begin to rotate about its center of mass. The angular velocity can be determined using the moment of inertia of the rod and the impulse's distance from the center of mass. Since there is no friction or external forces acting on the rod, it will continue moving in a straight line while simultaneously rotating. This results in a combined motion of linear and angular displacement for the rod.
Karan Singh
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1. a uniform rod of mass m and length l is placed horizontally on a smooth horizontal surface.An impulse is applied at one end perpendicular to the length of the rod. what is the velocity of centre of mass and angular velocity of rod just after the impulse is applied.
 
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The word "smooth" is code for frictionless. Thus the rod is supported against the force of gravity, but moves without any friction from the table. So,... for get the support altogether, and simply ask yourself what is the resulting motion of the rod when floating free in space.
 

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