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Consider a square with mass M that is free to translate in the

*xy*plane and free to rotate about any axis perpendicular to the page (Fig. 1)

If a linear impulse

**J**is applied at a point above the center of mass (CM) as shown below, I know there must be some angular impulse (momentary torque) generated since there is a component of

**J**that is perpendicular to the displacement vector from CM. I imagine this angular impulse will tend to rotate the square clockwise.

However, I can also imagine that the CM will also undergo translation since the square is not constrained. How would I go about computing the overall rotational + translational motion of this system?