The conservation of angular momentum dictates that the total amount of angular momentum in a system remains constant. However, when objects collide they often transfer their linear and rotational motion to the other. This can be shown by Newton's first law of motion: "An object continues in its state of rest or uniform motion unless it is acted upon by an external unbalanced force."
What determines the total rotation and linear velocity change depends on where the collision occurs relative to the center point (x=0, y=0) as well as what properties make up said object.
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