Many of the elements in horizontal-bar exercises can be modeled by representing the gymnast by four segments consisting of arms, torso (including the heäd), thighs, and lower legs, as SHOWH IN Figure (b). Inertial parameters for a particular gymnast are as follows. Segment Mass(kg) Length (m) reg (m) (kg-m2) Arms 6.87 0.520 0.239 0.205 0.601 0.374 Torso 35.90 0.337 1.680 Thighs Legs 12.60 0.187 0.173 7.24 0.227 1.580 Note that in Figure (b) rca is distance from the center of gravity of each segment to the joint closest to the bar (the bar is where the knuckles are, and the joint closest to the bar is not measured by distance, but by the position of the body, i.e. the torso-thigh joint is closer to the bar than the thigh-leg joint). I is the moment of inertia of each segment about its center of gravity. Calculate the position of the center of gravity of the gymnast shown. Pay close attention to the definition of rcg in the table. Xcg = Yeg = thigh leg 60° arm 60° torso (b)

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)...
icon
Related questions
Topic Video
Question
Many of the elements in horizontal-bar exercises can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as shown in
Figure (b). Inertial parameters for a particular gymnast are as follows.
Segment
Mass(kg) Length (m) rcg (m) (kg•m²)
Arms
6.87
0.520
0.239
0.205
Torso
35.90
0.601
0.337
1.680
Thighs
12.60
0.374
0.187
0.173
Legs
7.24
0.227
1.580
Note that in Figure (b) rca is distance from the center of gravity of each segment to the joint closest to the bar (the bar is where the knuckles are, and the joint closest to the bar is not measured by
distance, but by the position of the body, i.e. the torso-thigh joint is closer to the bar than the thigh-leg joint). I is the moment of inertia of each segment about its center of gravity. Calculate the
position of the center of gravity of the gymnast shown. Pay close attention to the definition of rca in the table.
Xcg =
Ycg
%3D
thigh
leg
arm
60°
60°
torso
(a)
(b)
Transcribed Image Text:Many of the elements in horizontal-bar exercises can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as shown in Figure (b). Inertial parameters for a particular gymnast are as follows. Segment Mass(kg) Length (m) rcg (m) (kg•m²) Arms 6.87 0.520 0.239 0.205 Torso 35.90 0.601 0.337 1.680 Thighs 12.60 0.374 0.187 0.173 Legs 7.24 0.227 1.580 Note that in Figure (b) rca is distance from the center of gravity of each segment to the joint closest to the bar (the bar is where the knuckles are, and the joint closest to the bar is not measured by distance, but by the position of the body, i.e. the torso-thigh joint is closer to the bar than the thigh-leg joint). I is the moment of inertia of each segment about its center of gravity. Calculate the position of the center of gravity of the gymnast shown. Pay close attention to the definition of rca in the table. Xcg = Ycg %3D thigh leg arm 60° 60° torso (a) (b)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Second law of motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON