A person is standing on a level floor. His head, upper torso, arms, and hands together weigh 472 N and have a center of gravity that is 1.14 m above the floor. His upper legs weigh 108 N and have a center of gravity that is 0.778 m above the floor. Finally, his lower legs and feet together weigh 91.1 N and have a center of gravity that is 0.251 m above the floor. Relative to the floor, find the location of the center of gravity for the entire body.

Two children of mass 25 kg and 26 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 3.0 m, at what distance, in meters, from the pivot point is the smaller child sitting in order to maintain the balance?

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A man holds a 186-N ball in his hand, with the forearm horizontal (see the figure). He can support the ball in this position because of the flexor muscle force M, which is applied perpendicular to the forearm. The forearm weighs 21.6 N and has a center of gravity as indicated. Find (a) the magnitude of M and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint. (a) Number (b) Number i (c) Number i Upper arm bone- Elbow joint 0.0510 m+ Units Units Units Flexor muscle M -0.0890 m -0.330 m-

A 4.0- m-long iron bar of uniform cross section is held perpendicular to the wall by a wire from the end of the bar to the wall (see the figure). The bar is fastened to the wall with a hinge. What is the tension in the wire if the iron bar weighs 650 N and the wire is 5.0 m long?

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 shown in the figure below. A light plank rests on two scales, which read F, = 395 N and F, gi = 340 N. A distance of 1.65 m separates the scales. How far from the woman's feet is her center of mass? g2 1.65 m F 18. F 82

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).

A horse weights 5000 Newtons. The distance between the front and rear hooves is L1= 1.8 meters and the distance from the rear hooves to the center of mass L2=1.1 meters for the horse are shown in the attachment. What fraction of the horses weight is borne by the front hooves?

A meter stick is hanging from the ceiling at the 50 cm marker, perfectly in balance.. A 10 kg mass is tied to the meter stick at the 70 cm marker. A 10 kg mass is tied to the meter stick at the 80 cm marker. Where should a 20 kg mass be placed to maintain equilibrium? 25 cm 10 cm 20 cm 35 cm

A uniform barbell has length 1.5 m and mass 60 kg. Your left hand is placed 25 cm to the left of the center, while your right hand is placed 35 cm to the right of the center. What is the magnitude of force exerted by your left hand? 420 N 823 N 343 N 294 N 245 N