## Analysis of Gymnast's Center of GravityMany aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as depicted in the figure below.![Gymnast](image-link) ### Diagrams- **Figure (a):** Shows a visual representation of the gymnast lying down on a flat surface, with the legs elevated at a 60° angle above the horizontal.- **Figure (b):** Illustrates a simplified physical model of the gymnast using arrows to indicate lengths \(r_{cg}\) that locate the center of gravity of each body segment (arms, torso, thighs, and legs). The coordinate system is provided with the y-axis vertical and the x-axis horizontal.### Data TableThe table below provides the masses, lengths, and center of gravity locations for each of the gymnast’s segments. Please note that the masses for the arms, thighs, and legs include both appendages.| Segment | Mass (kg) | Length (m) | \(r_{cg}\) (m) || ------- | --------- | ---------- | -------------- || Arms | 6.81 | 0.548 | 0.242 || Torso | 33.6 | 0.613 | 0.337 || Thighs | 14.1 | 0.370 | 0.149 || Legs | 7.58 | 0.350 | 0.227 |### ObjectiveUse the data provided and the coordinate system shown in Figure (b) to locate the center of gravity of the gymnast shown in Figure (a). Provide your answers in meters (m), rounded to at least three significant figures.#### Center of Gravity CalculationTo calculate the \(x_{cg}\) and \(y_{cg}\):\[ x_{cg} = \boxed{\_\_\_\_} \text{ m} \]\[ y_{cg} = \boxed{\_\_\_\_} \text{ m} \]### Additional HelpIf you need further assistance, you can access our detailed resources:- **Read It**: Provides a comprehensive breakdown of the principles and mathematical steps.- **Watch It**: Offers a video explanation for a more visual understanding.[Need Help?]![Read It](

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Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in the figure below. HINT Xcg Ycg TE 60° = Segment G In the figure, (b) shows arrows of lengths rc locating the center of gravity of each segment. Use the data below and the coordinate system shown in figure (b) to locate the center of gravity of the gymnast shown in figure (a). Masses for the arms, thighs, and legs include both appendages. (Enter your answers in m, to at least three significant figures.) Arms Torso Thighs Legs m m Mass (kg) Length (m) rcg (m) 6.81 33.6 14.1 7.58 0.548 0.613 0.370 0.350 0.242 0.337 0.149 Arm 0.227 Thigh Torso 60° Leg

Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in the figure below. HINT Xcg Ycg TE 60° = Segment G In the figure, (b) shows arrows of lengths rc locating the center of gravity of each segment. Use the data below and the coordinate system shown in figure (b) to locate the center of gravity of the gymnast shown in figure (a). Masses for the arms, thighs, and legs include both appendages. (Enter your answers in m, to at least three significant figures.) Arms Torso Thighs Legs m m Mass (kg) Length (m) rcg (m) 6.81 33.6 14.1 7.58 0.548 0.613 0.370 0.350 0.242 0.337 0.149 Arm 0.227 Thigh Torso 60° Leg

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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