PERIOD OF THE LEG The period of the leg can be approximated by treating the leg
ID: 3893842 • Letter: P
Question
PERIOD OF THE LEG The period of the leg can be approximated by treating the leg as a physical pendulum, with a period of 2 pi I/mgh, where I is the moment of inertia, m is the mass, and h is the distance from the pivot point to the center of mass. The leg can be considered to be a right cylinder of constant density. For a man: the leg constitutes 16 % of his total mass and 48 % of his total height [21]. Find the period of the leg of a man who is 1.84 m in height with a mass of 73 kg. The moment of inertia of a cylinder rotating about a perpendicular axis at one end is ml2/3. sec The pace of normal walking (3.0 mi/hr) is close to the natural frequency of the leg because the most efficient frequency to "drive" a system is the natural frequency. It takes less effort to walk at this rate.Explanation / Answer
mass of leg,m=73*16/100=11.68
length of leg,l=1.84*48/100=0.88
moment of inertia,I=m*l*l/3=3.01
timeperiod=2*pi*sqrt(I/mgl)=1.08sec
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