To account for the walking speed of a bipedal or
Chapter 15, Problem 62(choose chapter or problem)
To account for the walking speed of a bipedal or quadrupedal animal, model a leg that is not contacting the ground as a uniform rod of length ,, swinging as a physical pendulum through one half of a cycle, in resonance. Let umax represent its amplitude. (a) Show that the animals speed is given by the expression v 5 "6g ,sin umax p if umax is sufficiently small that the motion is nearly simple harmonic. An empirical relationship that is based on the same model and applies over a wider range of angles is v 5 "6g , cos 1umax/22 sin umax p (b) Evaluate the walking speed of a human with leg length 0.850 m and leg-swing amplitude 28.0. (c) What leg length would give twice the speed for the same angular amplitude?
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