7. A 60 kg mother and her 25 kg child sit on the ends of a 3m, 80 kg see-saw. The see-saw itself is symmetric, so that its center of gravity is at its midpoint. 3 m A) If the mother and child are perfectly balanced on the see saw, how far from the child is the fulcrum pushing upwards on the see-saw? B) What force does the fulcrum push up with? aut STE
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![7. A 60 kg mother and her 25 kg child sit on the ends of a 3m, 80 kg see-saw. The see-saw itself is
symmetric, so that its center of gravity is at its midpoint.
3 m
A) If the mother and child are perfectly balanced on the see saw, how
far from the child is the fulcrum pushing upwards on the see-saw?
B) What force does the fulcrum push up with?
aut
STE](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb9e1fba-6846-4eb4-b8ea-a7b8e0246d07%2F50eca493-e3b0-4a3e-949e-c9dda671197b%2Fzc4pt9_processed.jpeg&w=3840&q=75)
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- Q13. A 5 meter, 200N-long ladder rests against a wall. The ladders center of mass is 3.0 meters up the ladder. The coefficient of friction on the ground is 0.30. How far along the ladder can a 75-kg person climb before it slips? The angle between the ladder and ground is 56 degrees. (2.0 m)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$ 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).The top of the folding workbench has a mass of 36 kg with mass center at G. Calculate the magnitude of the force supported by the pin at E. 225 mm D G Answers: E = F E 670 mm 1000 mm H i N B 805 mmIn 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
- A 500.-N uniform rectangular sign 4.00 mwide and 3.00 m high is suspended from ahorizontal, 6.00-m-long, uniform, 100.-N rodas indicated in Figure P8.25. The left end ofthe rod is supported by a hinge, and the rightend is supported by a thin cable making a30.0° angle with the vertical. (a) Find the tensionT in the cable. (b) Find the horizontaland vertical components of force exerted onthe left end of the rod by the hinge.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? mA 10.0 m long rod, with a mass which acts at its center, supports three weights as shown. Where is its center of gravity? X kg Y kg 0.0 5.0 m Z kg 10.0 m where X = 5.00, Y = 15.0, and Z=30.0.
- 1. The figure below shows the normal configuration of the head with proper posture. The center of mass for the weight of the skull is labeled W and the muscles that attach to the back of the skull are labeled M. Assume all quantities are correct to 2 significant figures. M W a) Determine the mechanical advantage of the skull muscles when d₁ 20 mm and d₂ = 26 mm. Hint: Which force on the fulcrum (rotation point) is the effort, and which is the load? Enter to 2 significant figures Mechanical Advantage: b) Improper posture and positioning of the head can lead to muscle tension headaches. If the head begins to shift forward while studying or reading, the center of mass moves further from the fulcrum or pivot point. It is a subtle change, but the figure below shows the head shifted forward. The center of mass for the weight of the skull is labeled W and the muscles that attach to the back of the skull are labeled M. Determine the new mechanical advantage of the skull muscles when d₁ = 16 mm…The two ends of the barbell shown are made of the same material. Which of the points shown is at the barbell’s center of gravity?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!