How Do You Calculate the Center of Mass of a Human Leg?

In summary, a human leg with a length of 92.0cm and a mass of 8.60kg for the upper leg and 5.30kg for the lower leg (including the foot) has a center of mass at 40.5cm relative to the hip joint when stretched out horizontally. However, two significant figures may be needed for the final answer.
  • #1
flip290
14
0

Homework Statement


To keep the calculations fairly simple, but still reasonable, we shall model a human leg that is 92.0cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. For a 70.0kg person, the mass of the upper leg would be 8.60kg , while that of the lower leg (including the foot) would be 5.30kg .
Find the -coordinate of the center of mass of this leg, relative to the hip joint, if it is stretched out horizontally.


Homework Equations


xcm= (maxa +mbxb)/(ma+ mb)


The Attempt at a Solution


xcm= ((8.6*23) + (5.3*69))/ (13.9)=40.5cm

However, this has come back as incorrect. Where do I go from here?
 
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  • #2
hi flip290! :smile:
flip290 said:
xcm= ((8.6*23) + (5.3*69))/ (13.9)=40.5cm

looks ok to me :confused:

have you tried two significant figures?​
 

Related to How Do You Calculate the Center of Mass of a Human Leg?

1. What is the center of mass and why is it important?

The center of mass is the point at which an object's entire mass is considered to be concentrated. It is important because it represents the average location of an object's weight and affects its stability and movement.

2. How can you change your center of mass?

Your center of mass can be changed by changing your body position or by adding external forces. For example, leaning forward or lifting your arms can shift your center of mass.

3. What happens when you change your center of mass?

When you change your center of mass, the distribution of weight in your body also changes. This can affect your balance and stability, and can also change the forces acting on your body.

4. Can changing your center of mass be dangerous?

Changing your center of mass can be dangerous if not done properly. For example, leaning too far in one direction or adding too much force can cause you to lose balance and potentially fall.

5. How is understanding center of mass useful in everyday life?

Understanding center of mass can help you maintain balance and stability in various activities, such as walking, running, and carrying objects. It can also be useful in sports and other physical activities where maintaining control and stability is important.

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