As a percentage of total body mass, the head is 10%, the two arms are 10%, the trunk is 56%, and the two legs are 24%. The center of mass for each segment is given as an (x,y) coordinate, both units in cm: head = (0, 165), arms = (0, 115), trunk = (0, 95), and legs = (0, 35). Assume the body mass for the individual is 98 kg and their total height is 180 cm.Assume all quantities are correct to 3 significant figures.a. Determine the x and y coordinates of the center of mass.Enter to 3 significant figuresCenter of mass (x, y) = ☐ cm, ☐ cmb. When the body bends over to pick up an object, the body's center of mass changes. Determine the x and y coordinates of the center of mass given that the body segments have centers of mass at the following coordinates: head = (95, 75), arms = (70, 50), trunk = (35, 75), and legs = (0, 35).![Diagram of a person bending over](Figures/center_of_mass_bending.png)Enter to 3 significant figuresCenter of mass (x, y) = ☐ cm, ☐ cm**Diagram Explanation:**The diagram depicts a simplified model of a person bending over. Each body segment is represented as an oval with a designated center of mass marked by the letter 'x'. The coordinate axes are labeled with x and y, indicating horizontal and vertical directions, respectively. The trunk, arms, head, and legs each have their own set of coordinates as specified in the problem. The center of mass for a human body can be determined by a segmental method. Using cadavers, it is possible to determine the mass of individual body segments (as a proportion of total body mass) and the center of mass for each segment (often expressed as a distance from one end of the segment). Finding the overall body center of mass can be a complex calculation, involving more than 10 body segments. Below, we will look at a simplified model that uses just six segments: head, trunk, two arms, and two legs.**Diagram Explanation:**The diagram is a simplified representation of the human body, divided into segments. It shows:- A vertical axis labeled "y" and a horizontal axis labeled "x", indicating a coordinate system.- Six body segments are indicated: head, trunk, and limbs.- Each segment has an "x" marked as the center of mass for that segment.- The body's shape is stylized and abstract, meant to emphasize the location of the center of mass in each segment rather than precise anatomical detail.

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As a percentage of total body mass, the head is 10%, the two arms are 10%, the trunk is 56%, and the two legs are 24%. The center of mass for each segment is given as an (x,y) coordinate, both units in cm: head = (0, 165), arms= (0, 115), trunk= (0, 95), and legs = (0, 35). Assume the body mass for the individual is 98 kg and their total height is 180 cm. Assume all quantities are correct to 3 significant figures. a. Determine the x and y coordinates of the center of mass. Enter to 3 significant figures Center of mass (x, y) = ( cm, cm) b. When the body bends over to pick up an object, the body's center of mass changes. Determine the x and y coordinates of the center of mass given that the body segments have centers of mass at the following coordinates: head = (95, 75), arms=(70, 50), trunk= (35, 75), and legs = (0, 35).

As a percentage of total body mass, the head is 10%, the two arms are 10%, the trunk is 56%, and the two legs are 24%. The center of mass for each segment is given as an (x,y) coordinate, both units in cm: head = (0, 165), arms= (0, 115), trunk= (0, 95), and legs = (0, 35). Assume the body mass for the individual is 98 kg and their total height is 180 cm. Assume all quantities are correct to 3 significant figures. a. Determine the x and y coordinates of the center of mass. Enter to 3 significant figures Center of mass (x, y) = ( cm, cm) b. When the body bends over to pick up an object, the body's center of mass changes. Determine the x and y coordinates of the center of mass given that the body segments have centers of mass at the following coordinates: head = (95, 75), arms=(70, 50), trunk= (35, 75), and legs = (0, 35).

College Physics

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ISBN:9781305952300

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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100%

As a percentage of total body mass, the head is 10%, the two arms are 10%, the trunk is 56%, and the two legs are 24%. The center of mass for each segment is given as an (x,y) coordinate, both units in cm: head = (0, 165), arms = (0, 115), trunk = (0, 95), and legs = (0, 35). Assume the body mass for the individual is 98 kg and their total height is 180 cm.

Assume all quantities are correct to 3 significant figures.

a. Determine the x and y coordinates of the center of mass.

Enter to 3 significant figures

Center of mass (x, y) = ☐ cm, ☐ cm

b. When the body bends over to pick up an object, the body's center of mass changes. Determine the x and y coordinates of the center of mass given that the body segments have centers of mass at the following coordinates: head = (95, 75), arms = (70, 50), trunk = (35, 75), and legs = (0, 35).

![Diagram of a person bending over](Figures/center_of_mass_bending.png)

Enter to 3 significant figures

Center of mass (x, y) = ☐ cm, ☐ cm

**Diagram Explanation:**

The diagram depicts a simplified model of a person bending over. Each body segment is represented as an oval with a designated center of mass marked by the letter 'x'. The coordinate axes are labeled with x and y, indicating horizontal and vertical directions, respectively. The trunk, arms, head, and legs each have their own set of coordinates as specified in the problem.

The center of mass for a human body can be determined by a segmental method. Using cadavers, it is possible to determine the mass of individual body segments (as a proportion of total body mass) and the center of mass for each segment (often expressed as a distance from one end of the segment). Finding the overall body center of mass can be a complex calculation, involving more than 10 body segments. Below, we will look at a simplified model that uses just six segments: head, trunk, two arms, and two legs.

**Diagram Explanation:**

The diagram is a simplified representation of the human body, divided into segments. It shows:

- A vertical axis labeled "y" and a horizontal axis labeled "x", indicating a coordinate system.
- Six body segments are indicated: head, trunk, and limbs.
- Each segment has an "x" marked as the center of mass for that segment.
- The body's shape is stylized and abstract, meant to emphasize the location of the center of mass in each segment rather than precise anatomical detail.

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