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 Figure P8.85. Figure P8.85b shows arrows of lengths reg locat- ing the center of gravity of each segment. Use the data below and the coordinate system shown in Figure P8.85b to locate the center of gravity of the gymnast shown in Figure P8.85a. Masses for the arms, thighs, and legs include both appendages. Mass (kg) "eg (m) 0.239 Segment Length (m) 6.87 Arms 0.548 0.337 33.57 Torso 0.601 14.07 0.374 Thighs 0.151 0.227 7.54 Legs 0.350 Thigh O Arm Leg 60° 60° Torso Figure P8.85

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 Figure P8.85. Figure P8.85b shows arrows of lengths reg locat- ing the center of gravity of each segment. Use the data below and the coordinate system shown in Figure P8.85b to locate the center of gravity of the gymnast shown in Figure P8.85a. Masses for the arms, thighs, and legs include both appendages. Mass (kg) "eg (m) 0.239 Segment Length (m) 6.87 Arms 0.548 0.337 33.57 Torso 0.601 14.07 0.374 Thighs 0.151 0.227 7.54 Legs 0.350 Thigh O Arm Leg 60° 60° Torso Figure P8.85

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)...

See similar textbooks

Related questions

Q: A 80-kg man stands at the left end of a 20-kg, 7.0-m-long uniform wooden plank. The plank is sitting…

Q: In exercise physiology studies, it is sometimes important to determine the location of a person's…

Q: z b The figure shows the axes of a quarter of a shell. A// Find the center of mass for this crust?…

Q: Lana Kane, Archer’s spy companion, is a 70 kg pole-vaulter. She falls from a peak height of 5.90 m…

Q: Q2: Man A weighs 150 N and man B weighs 200 N. They desire to find the weight and position of the…

A: The position of the center of gravity is the point where the objects are in the static equilibrium.…

Q: A person is standing on a level floor. His head, upper torso, arms, and hands together weigh 471 N…

Q: Problem 4: You have been hired to design a family-friendly see-saw. Your design will feature a…

Q: A person is standing on a level floor. His head, upper torso, arms, and hands together weigh 484 N…

A: Weight of the head, upper torso, arms and hands together is: Center of the gravity of the head,…

Q: A person bends forward to hold a dumbbell of 10.0-kg. The spine and upper body are pivoted at the…

Q: The aluminum cylinder is attached to the steel hemisphere. Find the height h of the cylinder for…

Q: A small airplane with full fuel tanks, but no occupants or baggage, has a mass of 1.17 x 103 kg and…

Q: ) Solve the equations you have made in parts A and C) to find F;, F, and 0. (Hint: F; x F, x 700 N,…

Q: A clever witch is social distancing during trick-or-treating by sticking her pumpkin-shaped bucket…

A: Given, The length of the broom, L=1.7 m The mass of the broomstick, mb=0.8 kg The mass of the…

Q: Two balls are connected by a 150-cmcm-long massless rod. The center of mass is 35 cmcm from a 85 gg…

A: Givenlength of rod, L=150 cmm1=85 gmx1=-35 cmlet center of mass be at origin, and m1 is on the left…

Q: Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments…

Q: A 0.5 kg meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark and…

Q: A girl and a boy stand at opposite ends of a 3.0 m long uniform board with mass 50 kg. The girl's…

Q: A person is standing on a level floor. His head, upper torso, arms, and hands together weigh 435 N…

A: according to the question x1=1.33 mw1=435 Nx2=0.714 mw2=134 Nx3=0.201 mw3=83.1 N

Q: Suppose a 417 kg alligator of length 3.3 m is stretched out on a board of the same length weighing…

Q: The leg in the image below is in a cast (obviously). The cast and leg together have a mass of 18 kg…

Q: A 94 gm meter stick has two objects attached to it, one of 83 gm at the 14 cm mark and the other of…

A: Given: mass of meter stick, ms = 94 gm = 94 × 10-3 kg , length = 100 cm mass of object 1, m1 = 83 gm…

Q: A uniform, 20-kg, 8.0-m-long, wooden plank that is parallel to level ground is supported by two…

Q: A 300 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark,…

Q: The meterstick shown is 100 cm long. It is free to pivot around its center of gravity (CG), which is…

A: Given: The length of the meter stick is L=100 cm, The weight of block 1 is W1=21 N, The weight of…

Q: In exercise physiology studies, it is sometimes important to determine the location of a person's…

Q: Calculate the location of the center of gravity of the section whose geometrical properties are…

A: Refer to the figure below :

Q: Compute the combined moment of the two 80-lb forces about (a) point O and (b) point A. The moment is…

Q: A large bird is perching on a massive wire which takes up a curved shape. The angle of sag without…

Q: A 50 kg rod has a box hanging from it and is suspended from the ceiling by a string. The entire…

A: The mass of the rod is m1=50 kg The tension acting in the string is T W1 and W2 are the weight of…

Q: B As shown in Figure 1, two people of the same height are holding up a box attached to a pole. The…

A: in this question we determine FA/FB by free body diagram equation .

Q: A 72 kg and 180-cm tall person lies on a light (massless) board which is supported by two scales A…

Q: Use g=10m/s/s A 500 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at…

Q: > A 5.4 kg cat and a 2.5 kg bowl of tuna fish are at opposite ends of the 4.0-m-long seesaw. (Figure…

A: Torque refers to the rotational force or moment that causes an object to rotate around an axis. In…

Q: The main muscles that hold your head upright attach to your spine in back of the point where your…

A: Given: On February 20, 1962, John Glenn made the first U.S.-manned flight around the Earth for three…

Q: Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments…

Q: To get up on the roof, a person (mass 70.0 kg) places a 6.00 m aluminum ladder (mass 10.0 kg)…

A: Given data: M=70.0 kg m=10.0 kg l=6 m x=2 m xcm=2m X=3 m where, M is the Mass of the person m Mass…

Q: A 10cm uniform rod has a mass of 100g. Attached at its ends are 200g and 100g rubber balls. Where is…

Q: In exercise physiologystudies, it is sometimesimportant todetermine the location ofa person’s center…

A: Given information:Reading on the scale 1 (Fg1) = 380 NReading on the scale 2 (Fg2) = 320 NThe…

Q: A person is standing on a level floor. His head, upper torso, arms, and hands together weigh 438 N…

Q: A 25.0 kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that…

Q: How far is the center of mass from the handle end of the club-ax? Express your answer in cm.

A: The Center of mass of a system of particles is a point in space such that the entire mass of the…

Q: To get up on the roof, a person (mass 62.0 kg) places a 6.80 m aluminum ladder (mass 11.0 kg)…

Q: The two ends of the dumbbell shown below are made of the same material. Is the dumbbell’s center of…

A: Required : The center of mass of the dumb bell.

Question

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
Figure P8.85. Figure P8.85b shows arrows of lengths reg locat-
ing the center of gravity of each segment. Use the data below
and the coordinate system shown in Figure P8.85b to locate
the center of gravity of the gymnast shown in Figure P8.85a.
Masses for the arms, thighs, and legs include both appendages.
Mass (kg)
"eg (m)
0.239
Segment
Length (m)
6.87
Arms
0.548
0.337
33.57
Torso
0.601
14.07
0.374
Thighs
0.151
0.227
7.54
Legs
0.350
Thigh
O Arm
Leg
60°
60°
Torso
Figure P8.85

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Trending now

This is a popular solution!

Step by step

Solved in 8 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

When you bend over, a series of large muscles, the erector spinae, pull on your spine to hold you up. Figure shows a simplified model of the spine as a rod of length L that pivots at its lower end. In this model, the center of gravity of the 320 N weight of the upper torso is at the center of the spine. The 160 N weight of the head and arms acts at the top of the spine. The erector spinae muscles are modeled as a single muscle that acts at an 12° angle to the spine. Suppose the person shown bends over to an angle of 30° from the horizontal. a. What is the tension in the erector muscle? Hint: Align your x-axis with the axis of the spine.b. A force from the pelvic girdle acts on the base of the spine. What is the component of this force in the direction of the spine? (This large force is the cause of many back injuries).
When you carry shopping bags, rather than grasp the handles with your hand as in Q8.14a, you might choose to put them over your arm and slide the handle toward your elbow as in Q8.14b. Explain why this leads to less muscle effort to carry the bags and less force in your elbow joint.
In exercise physiology studies, it is sometimes important to determine the location of a person's center of gravity. This can be done with the arrangement shown in the figure below. 2.00 m A light plank rests on two scales that read F = 380 N and F = 280 N. The scales are separated by a distance of 2.00 m. How far from the woman's feet is her center of gravity? Need Help? Read It
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. Thigh Arm Leg 60° 60° Torso a In the figure, (b) shows arrows of lengths r 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.) Segment Mass (kg) Length (m) r cg (m) Arms 6.89 0.548 0.236 Torso 33.6 0.609 0.337 Thighs 14.1 0.368 0.149 Legs 7.58 0.350 0.227 HINT Y o
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. Thigh O Arm Leg 60° 60° Torso a (i In the figure, (b) shows arows of lengths re 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.) Segment Mass (kg) Length (m) rcg (m) Arms 6.81 0.548 0.236 Torso 33.6 0.613 0.337 Thighs 14.1 0.368 0.149 Legs 7.50 0.350 0.227 HINT Xcg 0.458 %D Y cg 0.0949 X m
A hippo’s body is 4.0 m long with front and rear feet located as shown. The hippo carries 60% of its weight on its front feet. How far from its tail is the hippo’s center of gravity?
The meterstick shown is 100 cm long. It is free to pivot around its center of gravity (CG), which is at the 50 cm mark. 10 20 30 40 50 60 70 80 90 There is a 25.0 N block hanging from the 80 cm mark. Decide where each of the other blocks should be placed, one at a time, to balance out the 25.0 N block. 3 2 1 At what mark on the meter stick would you place a 19.0 N block to balance the 25.0 N block? mark: cm At what mark on the meter stick would you place a 44.0 N block to balance the 25.0 N block? mark: ст
You freely pivot a horseshoe from a horizontal nail through one of its nail holes. You then hang a long string with a weight at its bottom from the same nail, so that the string hangs vertically in front of the horseshoe without touching it. How do you know that the horseshoe’s center of gravity is along the line behind the string? How can you locate the center of gravity by repeating the process at another nail hole? Will the center of gravity be within the solid material of the horseshoe?
The meterstick shown is 100 cm long. It is free to pivot around its center of gravity (CG), which is at the 50 cm 10 20 30 40 50 60 70 80 90 mark. There is a 20.0 N block hanging from the 80 cm mark. Decide where each of the other blocks should be placed, one at a time, to balance out the 20.0 N block. 3 2 1 At what mark on the meter stick would you place a 19.0 N block to balance the 20.0 N block? mark: cm At what mark on the meter stick would you place a 42.0 N block to balance the 20.0 N block? mark: cm about us careers privacy policy terms of use contact us help -8
Bob and Anna sit on opposite ends of a uniform see-saw which is 12.0 m in length. The see-saw is balanced by a fulcrum which is located 4.00 m from Bob. Bob has a mass of 85.0 kg, and the see-saw itself has a mass of 100 kg. Anna’s mass is unknown. NOTE THAT THE FULCRUM IS NOT PLACED AT THE CENTER OF MASS OF THE SEE- SAW!!! a) What is the net torque on the see-saw? Explain clearly and briefly how you know. b) Draw a properly labeled extended force diagram of the see-saw c) Solve for Anna’s mass. Show your work clearly!
In exercise physiology studies, it is sometimes important to determine the location of a person’s center of mass. This determination can be done with the arrangement as shown. A light plank rests on two scales, which read Fg1 = 380 N and Fg2 = 320 N. A distance of 1.65 m separates the scales. How far from the woman’s feet is her center of mass?
A 1.90-m-long barbell has a 24.0 kg weight on its left end and a 32.0 kg weight on its right end. Where is the center of gravity if the 9.00 kg mass of the barbell itself is taken into account?