Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.4 kg at (0.0, 3.7) m, and 4.0 kg at (2.9, 0.0) m. Where should a fourth object of 8.6 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.4 kg at (0.0, 3.7) m, and 4.0 kg at (2.9, 0.0) m. Where should a fourth object of 8.6 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter9: Statics And Torque

Section: Chapter Questions

Problem 17PE: To get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 kg)...

See similar textbooks

Similar questions

To 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?
A solid sphere of radius 10 cm is allowed to rotate freely about an axis. The sphere is given a sharp blow so that its center of mass starts from the position shown in the following figure with speed 15 cm/s. What is the maximum angle that the diameter makes with the vertical?
A satellite is spinning at 6.0 rev/s. The satellite consists of a main body in the shape of a sphere of radius 2.0 m and mass 10,000 kg, and two antennas projecting out from the center of mass of the main body that can be approximated with rods of length 3.0 m each and mass 10 kg. The antenna’s lie in the plane of rotation. What is the angular momentum of the satellite?
Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.4 kg at (0.0, 3.9) m, and 4.0 kg at (2.9, 0.0) m. Where should a fourth object of 9.0 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?
Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.1 kg at (0.0, 3.3) m, and 4.0 kg at (2.7, 0.0) m. Where should a fourth object of 6.4 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? x= ______m y= ______m
Consider the following distribution of objects: a 4.00-kg object with its center of gravity at (0, 0) m, a 1.20-kg object at (0, 3.00) m, and a 3.40-kg object at (4.00, 0) m. Where should a fourth object of mass 6.00 kg be placed so that the center of gravity of the four-object arrangement will be at (0, 0)?
In order to balance a meterstick at the 27 cm mark, how much weight would you need to hang at the 10 cm mark? Assume the stick weighs 200 g and its center of mass is at 50 cm.
Consider the following mass distribution: 3 kg at (4 m, −4 m), 2.8 kg at (0 m, 4.2 m), and 3.7kg at(3.7m, 0m). We need to place a fourth mass of 4.8 kg so that the center of gravity of the four-mass arrangement will be at (0, 0). a) Find the x coordinate of such a point in m. b) Find the y coordinate of such a point in m.
A uniform meter stick has a mass of 200 grams. One hundred grams is suspended at the 20 cm mark and 200 grams is hung at the 40 cm mark. Where is the center of gravity of the system?
Find the x - and y -coordinates of the center of gravity for the boomerang in Figure P8.12a. modeling the boomerang as in Figure P8.12b, where each uniform leg of the model has a length of 0.300 m and a mass of0.250 kg. (Note: Treat the legs like thin rods.)
Consider the woman doing push-ups in the figure. She has a mass of 49.2 kg, and the distance from her feet to her center of mass is 0.96 m, while the distance from her feet to her hands is 1.75m. a. What force in newtons should the woman in the figure 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 1.95 cm, and she exerts force on the floor at a horizontal distance of 15.5 cm from the elbow joint. Calculate the magnitude of the force in newtons for each triceps muscle. c. How much work in joules does she do if her center of mass rises 0.27 m? d. What is her useful power output, in watts, if she does 25 pushups in one minute? For the sake of simplicity, ignore any power used by her muscles lowering her body during each pushup.
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.