Discover the Natural Swinging Period of the Human Leg | Need Help Now!

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Homework Help Overview

The discussion revolves around calculating the natural swinging period of the human leg, modeled as a physical pendulum consisting of two rods joined at the knee. The problem involves parameters such as the lengths and masses of the rods, with a focus on understanding the dynamics of the system.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the concept of modeling the leg as a pendulum and suggest finding the center of mass. There are discussions about using pendulum equations and considering the moment of inertia. Questions arise regarding which mass to use in calculations and how to determine the moment of inertia and height.

Discussion Status

The discussion is ongoing, with participants questioning assumptions and exploring different approaches. Some guidance has been offered regarding the use of pendulum equations and considerations of moment of inertia, but no consensus has been reached on the specific calculations or methods to apply.

Contextual Notes

Participants emphasize the need to show work before receiving assistance, adhering to forum rules. There is a time constraint mentioned, as the original poster needs help urgently.

sungjoooneee
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The human leg can be compared to a physical pendulum, with a "natural" swinging period at which walking is easiest. Consider the leg as two rods joined rigidly together at the knee; the axis for the leg is the hip joint. The length of each rod is about the same, 54 cm. The upper rod has a mass of 7.0 kg and the lower rod has a mass of 4.3 kg.

Calculate the natural swinging period of the system.
Express your answer using two significant figures.

I really need help..i am totally lost and it;s due in 3 hours...
 
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sungjoooneee said:
The human leg can be compared to a physical pendulum, with a "natural" swinging period at which walking is easiest. Consider the leg as two rods joined rigidly together at the knee; the axis for the leg is the hip joint. The length of each rod is about the same, 54 cm. The upper rod has a mass of 7.0 kg and the lower rod has a mass of 4.3 kg.

Calculate the natural swinging period of the system.
Express your answer using two significant figures.

I really need help..i am totally lost and it;s due in 3 hours...

Show some effort first!

I haven't seen this two pendulum system before but you must show your work before anyone else would help you (see rules).

I can say assume it as one rod and find center of mass
using the pendulum equations (that mgl = something .. I don't have my book near me for reference and I cannot remember those standard equations correctly) find T. (but this is just a guess)
 
Last edited:
The lower leg will move about the knee at the endpoints of the swings and for one of the 2 swings in particular. Since there is no air resistance, you may avoid working with that; what you might want to take into account towards are fluctuations in the moment of inertia and see if there is any effect on the overall rotation.
 
T = 2pi Squareroot (I//mgh)

how do you determine moment of inertia, and h..

For m do i use 7.0 kg or 4.3 kg
 

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