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 readF = 430 N and F = 270 N. The scales are separated by a distance of 2.00 m. How far from the woman's feet is her center of gravity? m

The two ends of the dumbbell shown below are made of the same material. Is the dumbbell’s center of gravity at point 1, 2, or 3? Explain.

$ 4 101 R F V A uniform, aluminum beam 9.00 m long, weighting 300 N, rests symmetrically on two supports 5.00 m apart. A boy weighing 600 N starts at point A and walks toward the right. (Figure 1) Figure < 1 of 1 % f5 5 T G B f6 Y H OD & N 7 B f8 * 4+ 00 8 M fg K ly 9 Part A How far beyond point B can the boy walk before the beam tips? VE ΑΣΦ ? 1 = Submit f10 | Request Answer Part B How far from the right end of the beam should support B be placed so that the boy can walk just to the end of the beam without causing it to tip? IVE ΑΣΦ ? 8:44 P 5/29/202 BA P 8 O 1 = Submit 99+ L alt Request Answer Pearson f11 hulu f12 ctrl [ + (6 = الالالال ins prt sc m ] pause m delete backspace ^ V home Review | Constants enter num lock T shift end 7 home ↑ A end

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 sandwich board advertising sign is constructed as shown in the figure below. Hinge 2011 Brooks/Cole Thomson Learning Chain CG 80 0.50 m CG 1.30m Uniform board (CG at center) 1.10 m The sign's mass is 6.10 kg. (a) Calculate the tension in newtons in the chain assuming no friction between the legs and the sidewalk. N (b) What force is exerted in newtons by each side on the hinge? N

A horse stands with its front leg raised off the ground, as shown in the figure. figure. The left hind and right forelegs each support 300 lb of the total weight that is 1,000 lbs.  a) What force is exerted by the right hind leg?  b) Calculate the position of the center of gravity of the horse.

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

Two children of mass 21 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 2 m, at what distance from the pivot point is the small child sitting in order to maintain the balance? m

B1

a. A 1200-N uniform boom of length 2.00 m is supported by a cable, as shown in the figure.  The boom is pivoted at the bottom, and a 2000-N weight hands from its top.  Find the tension in the cable and the components of the reaction force exerted on the boom by the floor. For the next two parts you can assume that the 2000-N weight is concentrated at the top end of the boom. b. Determine the total moment of inertia of the boom/weight system around the pivot point. c.  The cable now breaks, and the boom pivots until the right end hits the floor.  Determine the velocity of the right end at the instant before it hits the floor.