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 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) 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 Xca = Yeg = m

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 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) 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 Xca = Yeg = m

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

Similar questions

In the figure , the center of gravity (CG) of the pole held by the pole vaulter is 1.85 m from left hand and the hands are 0.675 m apart. The mass of the pole is 5.0 kg. Part (a) calculate the magnitude of the force in newtons exerted by his right hand Part b : calculate the magnitude of the force in newtons exerted by left hand
The arm in figure P8.7 weighs F = 41.5 . The weight of the arm acts through point A as Chelmen shown. F, T12° F. 0.080 m -0.290 m- P8.7 from Serway and Vuille 9th Ed.
John Acorn- Friday Fliers. Six, 8-foot (2.44 m) long aluminum “paper airplane” forms are placed throughout campus. This artwork symbolizes the potential of what can be discovered if childish curiosity and enthusiasm are maintained. These sculptures weigh approximately 400 kg each with the center of mass weight being located 1.62 m from the pointed end of the Flier. This Flier is supported at points 0.50 m from each end. Assuming that the pointed end of Flier is directed left, determine the force on the left support and the force on the right support.
Even when the head is held erect, as shown in the figure, its center of mass is not directly over the principal point of support (the atlanto-occipital joint, Point A). The muscles at the back of the neck should, therefore, exert a force to keep the head erect. That is why your head falls forward when you fall asleep in the class. If the head weighs 43 N, calculate the force exerted by the muscles FM using the information in the figure. Assume that x1 = 5.1 cm, x2 = 2.7 cm, and |Fw = 43 N. N What is the force Fj exerted by the pivot on the head? F; = N Question Credit: OpenStax College Physics
D3
A person is standing on a level floor. His head, upper torso, arms, and hands together weigh 438 N and have a center of gravity that is 1.30 m above the floor. His upper legs weigh 144 N and have a center of gravity that is 0.730 m above the floor. Finally, his lower legs and feet together weigh 87 N and have a center of gravity that is 0.240 m above the floor. Relative to the floor, find the location of the center of gravity for his entire body. m above the floor
The diagram shows a 7.0 meter log leaning on a rock. The wieght of the log is 780 Newton's. A 200 Newton boy walks up the log from the point where is touches the ground. He finds that he can only walk 5.0 meters up the log before it starts to tip over the rock WHrer is the center of gravity of the log located?
In the figure below, both the ceiling and the ruler accelerate together at 1.6 m/s2 in the +y direction, and the reading to the "new" length of the vertical wire is as indicated. Ignore the effect on the two diagonal wires. Other parameters are below: Weight of the pan = 5 N Weights (or loads) = 74 N Originally, the wire has a length 0.200 cm, and diameter of 2.7 cm. Calculate the Young's modulus of the wire in Pa. NOTES: Use pi = 3.14. Final answer in ZERO decimal place. 4.000 4.100 4.200 4.300 cm
The boom in the figure below (Figure 1) weighs 2600 N and is attached to a frictionless pivot at its lower end. It is not uniform; the distance of its center of gravity from the pivot is 37% of its length. A) Make a free-body diagram of the boom. The boom attaches to the building at dot A. The center of gravity of the boom is indicated by dot B. The guy wire attaches to the boom and holds the load at dot C. Draw the vectors starting at the black dots. The location and orientation of the vectors will be graded. The length of the vectors will not be graded. Positive torque is considered to be in the counterclockwise direction. B) Find the tension in the guy wire. Express your answer in newtons. C) Find the horizontal component of the force exerted on the boom at its lower end. Express your answer in newtons. D) Find the vertical component of the force exerted on the boom at its lower end. Express your answer in newtons.
A large airplane typically has three sets of wheels: one at the front and two farther back, one on each side under the wings. Consider the Boeing 787 "Dreamliner", with a mass of 198000 kg. In this particular model, the distance from the front wheels to the rear set of wheels is 23.8 m. a) If the center of mass of the airplane is along a line through the center and 3.00 m in front of the rear wheels, how much force, in meganewtons, does the ground exert on each set of rear wheels when the plane is at rest on the runway? b) How much force, in meganewtons, does the ground exert on the front set of wheels?
A carpenter's square has the shape of an L as shown in the figure below. Locate its center of gravity. (Take (x, y) = (0, 0) at the intersection of d₁ and d₁. Assume d₁ = 20.0 cm, d₂ = 3.00 cm, d3 = 3.00 cm, and d4 = 10.0 cm.) L dz Tibbbbbb d4 i cm
Determine the combined moment about O due to the weight of the mailbox and the cross member AB. The mailbox weighs 4.8 lb and the uniform cross member weighs 9.1 lb. Both weights act at the geometric centers of the respective items. The moment will be positive if counterclockwise, negative if clockwise. 1" 16". | 3" | 5" | 9" 8" B 3.2" A 36" Answer: Mo = M 0 lb-in.