Calculate Period of Leg of 1.75m Tall Man (68 kg)

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The period of a man's leg can be calculated by treating it as a physical pendulum, using the formula that incorporates the moment of inertia, mass, and distance to the center of mass. For a 1.75 m tall man weighing 68 kg, the leg's mass is approximately 10.88 kg and its length is about 0.84 m. The moment of inertia for the leg, modeled as a cylinder, is determined using the formula ml^2/3. It is crucial to use the leg's specific mass and length rather than those of the entire body for accurate calculations. This approach allows for a precise determination of the leg's period as a pendulum.
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The period of the leg can be approximated by treating the leg as a physical pendulum, with a period of , 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.
Find the period of the leg of a man who is 1.75 m in height with a mass of 68 kg. The moment of inertia of a cylinder rotating about a perpendicular axis at one end is ml^2/3

________sec



Leg=10.88kg AND 0.84m

For the moment of inertia, what is the value for m and l?? is that the mass and length of the entire body?
 
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hot2moli said:
... 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.

... The moment of inertia of a cylinder rotating about a perpendicular axis at one end is ml^2/3

...

Leg=10.88kg AND 0.84m

For the moment of inertia, what is the value for m and l?? is that the mass and length of the entire body?

The values of m and l that you need are for the leg only, which you are asked to treat as a cylinder swinging about one end; the numbers are the ones you've already calculated.
 
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