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* An 80-kg clown sits on a 20-kg bike on a tightrope attached between two trees. The center of mass of the clown is 1.6 m above the rope, and the center of mass of the bike is 0.7 m above the rope. A load of what mass should be fixed onto the bike and hang 1.5m below the rope so that the center of mass of the clown-bike-load system is 0.5 m below the rope? What is the force that the rope exerts on each tree if the angle between the rope and the horizontal is
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Chapter 8 Solutions
College Physics: Explore And Apply, Volume 2 (2nd Edition)
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University Physics (14th Edition)
Conceptual Physical Science (6th Edition)
Essential University Physics (3rd Edition)
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Lecture- Tutorials for Introductory Astronomy
- A bowling ball rolls up a ramp 0.5 m high without slipping to storage. It has an initial velocity of its center of mass of 3.0 m/s. (a) What is its velocity at the top of the ramp? (b) If the ramp is 1 m high does it make it to the top?arrow_forwardBIO When a gymnast performing on the rings executes the iron cross, he maintains the position at rest shown in Figure P10.85a. In this maneuver, the gymnasts feet (not shown) are off the floor. The primary muscles involved in supporting this position are the latissimus dorsi (lats) and the pectoralis major (pecs). One of the rings exerts an upward fore Fh on a hand as shown in Figure P10.85b. The force Fs is exerted by the shoulder joint on the arm. The latissimus dorsi and pectoralis major muscles exert a total force Fm on the arm. (a) Using the information in the figure, find the magnitude of the force Fm. (b) Suppose an athlete in training cannot perform the iron cross but can hold a position similar to the figure in which the arms make a 45 angle with the horizontal rather than being horizontal. Why is this position easier for the athlete? Figure P10.85arrow_forwardConstruct Your Own Problem Consider a method for measuring the mass of a person's arm in anatomical studies. The subject lies on her back, extends her relaxed arm to the side and two scales are placed below the arm. One is placed under the elbow and the other under the back of her hand. Construct a problem in which you calculate the mass of the arm and find its center of mass based on the scale readings and the distances of the scales from the shoulder joint. You must include a free body diagram of the arm to direct the analysis. Consider changing the position of the scale under the hand to provide more information, if needed. You may wish to consult references to obtain reasonable mass values.arrow_forward
- (a) What force should the woman in Figure 9.45 exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed. (b) The triceps muscle at the back of her upper arm has an effective lever arm of 1.75 cm, and she exerts force on the floor at a horizontal distance of 20.0 cm from the elbow joint. Calculate the magnitude of the force in each triceps muscle, and compare it to her weight. (c) How much work does she do if her center of mass rises 0.240 m? (d) What is her useful power output if she does 25 pushups in one minute?arrow_forwardTo get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. What are the magnitudes of the forces on the ladder at the top and bottom?arrow_forward12. Shaina and Chloe are each standing on the edges of an 8.4 m seesaw in which Shaina is standing in the right side and Chloe is standing in the left side. Given a center of mass of 5.4 m, with Shaina having a mass of 60.7 kg, a. Find Chloe's mass. b. Illustrate an image of where the pivot base should be placed for the seesaw to be steady.arrow_forward
- 4. A machine part consists of a thin, uniform 4.00-kg bar that is 1.50 m long, hinged perpendicular to a similar vertical bar of mass 3.00 kg and length 1.80 m. The longer bar has a small but dense 2.00-kg ball at one end (see figure). a. Find the position of the center of mass of the top bar relative to the hinge. Write out its x- and y-components. b. Find the position of the center of mass of the vertical bar relative to the hinge. Write out its x- and y-components. c. Find the center of mass of the ball relative to the hinge. Write out its x- and y-components. d. Use your answers to parts (a)-(c) to find the center of mass of the entire machine part relative to the hinge. Write out its x- and y-components. -1.50 m- 4.00 kg Hinge 3.00 kg 1.80 m 2.00 kgarrow_forwardA physics student lies on a lightweight plank supported by two scales 2.50m apart to determine the location of his center of mass. The left scale reads 290N and the right scale reads 122N. Determine the student’s mass Determine the distance from the student’s head to his center of mass. Indicate all assumptions you made.arrow_forwardHarry exerts an upward force of 600 N on left side of a couch and Thomas exerts a 400 N upward force on the right side of the 2 m long couch. If the couch is stationary, how far is its center of mass from the left end (the couch is not in contact with anything other than Harry and Thomas)? FHarry Thomas couch You can take g-10 m/s² O 5/4 m O 3/4 m 4/5 m O 6/5 m 01marrow_forward
- 4. Orin and Ann, two paramedics, rush a 60.0 kg man from the scene of an accident to a waiting ambulance, carrying him on a uniform 3.00 kg stretcher held by the ends. The stretcher is 2.60 m long and the man’s center of mass is 1.00 m from Ann. How much force must Orin and Ann each exert to keep the man horizontal? a. Orin = 230 N, Ann = 388 N b. Orin = 201 N, Ann = 411 N c. Orin = 241 N, Ann = 377 N d. Orin = 141 N, Ann = 477 N e. None of the abovearrow_forwardA horizontal meter stick supported at the 50-cm mark has a mass of 0.60 kg hanging from it at the 15- cm mark and a 0.40 kg mass hanging from it at the 70-cm mark. Determine the position on the meter stick at which one would hang a third mass of 0.50 kg to keep the meter stick balanced. A. 26 cm mark B. 56 cm mark OC. 58 cm mark D. 76 cm mark E. 84 cm markarrow_forward11. In 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. A light plank rests on two scales, which read Fg1 woman's feet is her center of mass? 380 N and F92 320 N. A distance of 1.65 m separates the scales. How far from the 1.65 m Fg1 F g2'arrow_forward
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