A person pushing a uniformly-loaded 31.7 kg wheelbarrow of length L with pushing force P is attempting to get it over a step. The maximum horizontal force that the person can apply is P, 233 N. What is the maximum height h of the step, expressed as a fraction n of the wheel's radius R, that the person can get the wheelbarrow over? = The gravitational acceleration is g = 9.81 m/s². 8459 R Incorrect hnR
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- A uniform disk with mass m = 8.57 kg and radius R = 1.36 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 338 N at the edge of the disk on the +x-axis, 2) a force 338 N at the edge of the disk on the –y-axis, and 3) a force 338 N acts at the edge of the disk at an angle θ = 31° above the –x-axis. 1) What is the x-component of the net torque about the z axis on the disk? 2) What is the magnitude of the angular acceleration about the z axis of the disk? 3) If the disk starts from rest, what is the rotational energy of the disk after the forces have been applied for t = 1.6 s?6.3 A (solid) spool of mass M and radius R is supported by an axis about which it can rotate freely. A piece of thread is rolled around the spool, and a mass m = (where B is some positive number) tied to the end of the thread. What will be the mass m's speed v after it has descended a distance h, starting from rest? Express your result in terms of g, h and B. = BM M0.190 m) that 7. A penny is placed at the outer edge of a disk (radius rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.85 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. =
- 1, The great swing at a country fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end. Each arm supports a seat suspended from a cable 5.00 meters long. The upper end of the cable is attached to the end of the horizontal arm 3.00 m from the vertical shaft. A) find the time of the revolution (period) if the cable supporting the seat makes an angle of 30 degrees with the vertical. B) what is the tension in the cable? Mass of person is 75 kg. Figure ES.50 -3.00 m- 130.0A roller coaster loaded with passengers has a mass of 2 x 10³ kg; the radius of curvature of the track at the lowest point of the track is 24 m. If the vehicle has a tangential speed of 18 m/s at this point, what force is exerted on the vehicle by the track? O 9.33 x 10^4 N O 1.91 x 10^4 N O 5.27 x 10^4 N O 4.66 x 10^4 NMultiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a disk (radius= 0.183 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.87 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. Hs = Number i Units
- 1.0m 3.0m 0.5m mi m, PA N, 5. The drawing above shows two objects on a board supported at two locations. The m; = 40 kg (centered over P), m2=20 kg and m3=10 kg. a. Show the forces acting on the board below with arrows with labels beginning at their approximate point of application (see example for the force exerted by m;). (Don't forget the gravitational forces acting on the board.) P F1A Ferris wheel has radius of 4.8 m and makes one revolution in 7.4 seconds. A person weighing 686 N is sitting on one of the benches attached at the rim of the wheel. What is the apparent weight (that is, the normal force exerted on her by the bench) of the person as she passes through the highest point of her motion?A model airplane of mass 0.820 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a 54.0-m control wire as shown in Figure (a). The forces exerted on the airplane are shown in Figure (b): the tension in the control wire, the gravitational force, and aerodynamic lift that acts at θ = 20.0° inward from the vertical. Compute the tension in the wire, assuming it makes a constant angle of θ = 20.0° with the horizontal. N
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