**Center of Mass Calculation for a Human Body**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)- Legs: (0, 35) Assume the body mass for the individual is 89 kg and their total height is 180 cm.Assume all quantities are correct to 3 significant figures.**Task a**: Determine the x and y coordinates of the center of mass.Enter to 3 significant figures:- Center of mass (x, y) = [Blank] cm, [Blank] cm**Task 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)- Legs: (0, 35)Enter to 3 significant figures:- Center of mass (x, y) = [Blank] cm, [Blank] cm**Diagram Explanation**: The diagram shows two scenarios:1. A vertical human body standing upright with labeled segments (head, arms, trunk, legs) associated with given coordinates.2. A bent-over human body with a similar labelling of body segments, positioned over an x and y axis demonstrating how the center of mass shifts when the body bends. 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 depicts a simplified model of the human body using six segments arranged vertically, each labeled with an "x" to denote the center of mass for that segment. The segments are shown in sequence from top to bottom, representing:1. Head2. Trunk3. Two arms (combined for simplicity)4. Two legs (combined for simplicity)Axes are labeled with "y" indicating the vertical direction and "x" for the horizontal direction. This illustration serves as a basic representation for understanding how the center of mass might be distributed across these body segments.

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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 89 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, Enter to 3 significant figures Center of mass (x, y) = 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). cm, cm) X cm)

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 89 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, Enter to 3 significant figures Center of mass (x, y) = 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). cm, cm) X cm)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

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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**Center of Mass Calculation for a Human Body**

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)
- Legs: (0, 35)

Assume the body mass for the individual is 89 kg and their total height is 180 cm.

Assume all quantities are correct to 3 significant figures.

**Task a**: Determine the x and y coordinates of the center of mass.

Enter to 3 significant figures:
- Center of mass (x, y) = [Blank] cm, [Blank] cm

**Task 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)
- Legs: (0, 35)

Enter to 3 significant figures:
- Center of mass (x, y) = [Blank] cm, [Blank] cm

**Diagram Explanation**:

The diagram shows two scenarios:
1. A vertical human body standing upright with labeled segments (head, arms, trunk, legs) associated with given coordinates.
2. A bent-over human body with a similar labelling of body segments, positioned over an x and y axis demonstrating how the center of mass shifts when the body bends.

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 depicts a simplified model of the human body using six segments arranged vertically, each labeled with an "x" to denote the center of mass for that segment. The segments are shown in sequence from top to bottom, representing:

1. Head
2. Trunk
3. Two arms (combined for simplicity)
4. Two legs (combined for simplicity)

Axes are labeled with "y" indicating the vertical direction and "x" for the horizontal direction. This illustration serves as a basic representation for understanding how the center of mass might be distributed across these body segments.

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