From the Journal of Undergraduate Research in Physics (JURP):
Kayaking Physics: The Tipping Angle
By Daniel R. Rottinghaus and Chad A. Middleton
Department of Physical and Environmental Sciences
Mesa State College, Grand Junction, CO
Abstract
We apply basic physics to the rotational motion of a kayak in water to determine the angle at which the kayak will tip. Approximating the cross-section of the kayak as an ellipse, we apply Newtonian mechanics to the physical system and arrive at a set of coupled algebraic equations describing this critical angle. The equations are transcendental in nature and cannot be solved analytically. Using a numerical approach, we calculate the tipping angle for several values of the center of mass of the kayak-kayaker system. More...
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