Problem D11:
A rod has a linear mass density of the form λ = cx, where x is the distance from
the end and c is a constant. The rod can swing freely with one end fixed where x=0. It
starts out horizontal at rest and is let go. The length of the rod is n_{2} meters,
and the acceleration due to gravity is n_{1} m/s^{2}. What is the
speed of the tip of the rod as it swings through the bottom? If the speed of the
rod is
v=√ n_{3} m/s.
What is n_{3}? Note that the units of
n_{3} are m^{2}/sec^{2}.

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