If a mass of 23 kg acts downward 0.3 m from the axis of rotation on one end of a board and another force of 82.5 N also acts downward. What is the distance of point where the force is applied to balance the force?
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- PROBLEM SET B 1. How much torque is produced by opening a jar of pickles if the lid on the jar has a radius of 3.5 centimeters and the force exerted tangentially to the lid is 150 newtons? itudo of gravitationalA flagpole has a uniform mass density and total mass of M and length L. It is hinged at the ground and makes an angle of 6 with respect to the horizontal, as shown. To support the pole, a horizontal cable is attached to the pole at a point L from the bottom of the pole. What is the correct sum of torque equation for the axis perpendicular to the page and passing through the bottom of the pole? cable 2L/3 0-늘Mg + 응LT =0 OMgcos0 + LTsin® = 0 Mgsino + Tcos0 = 0 OMgsine + LTcos0 = 0 O-Mgsin0 + LTcos0 = 0Suppose a person wishes to lift a large rock with the lever. If the rock has a mass Of 250 kg and is located 50 cm from the pivot, and the person can put a force of 650 N Straight down on her end of the lover, what is the maximum distance from the fulcrum she has to be to lift the rock?
- A horizontal beam of length 2 m and mass 8.0 kg has a mass of 5.0 kg and width 0.8 m sitting at the end of the beam (see the following figure). What is the torque due to gravity (in N. m) on the beam-block system about the support at the wall? (Enter the magnitude.) Wall support 0.8 m, 5.0 kg 2 m, 8.0 kgA board of mass 3.0Kg serves as a seesaw for two children. Child A has a mass of 40Kg and sits 2.5m from the pivot point. At what distance x should a child B of mass 25Kg sit from the pivot point so as to balance the seesaw? What is the normal force at the pivot point? Assume the board is uniform and centered over the pivot.A weight of 30 N is located a distance of 10 cm from the fulcrum of a balance beam. At what distance from the fulcrum should a 20 Newton waive the place to balance the system?
- A sign for a pizza restaurant hangs from a 2.60-m long rod extended out from a building. A cable, attached to the building, is attached to the rod at a point that is 2.10 m from the hidge. (See the figure.)The mass of the rod is 6.50 kg. The mass of the sign is 9.40 kg. The angle between the building and the rod is 73.0 degrees. The angle between the cable and the horizontal is 30.0 degrees.What is the torque on the rod due to the weight of the sign alone? [Take the axis to be at the hinge.]no ai plzTwo children of mass 25 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 3.0 m, at what distance, in meters, from the pivot point is the smaller child sitting in order to maintain the balance?
- A gymnast with a mass of 54 kg stands on the end of a uniform balance beam as shown in the figure. The beam is 5.50 m long and has a mass of 250 kg. Each support is 0.54m from the end of the beam. What is the force on the beam due to support 2?A force of magnitude 30 lbs acts on the end of a wrench as shown. The wrench is 8 inches long and makes an angle of 30° from the -x axis in the x-y plane as shown. What is the torque exerted by this force around point P? Give the magnitude and direction as a vector.Fy Ex The plant in the picture has mass of 30 kg, and is hanging at a distance of 1.8 meters from the wall. The horizontal rod has mass of 7.8 kg. Assume that its weight is evenly distributed, therefore it can be treated as a single force at the center of mass. The rod is 2 meters long, and there is a cable at a 38° angle supporting it at the end. Using the wall as the axis of rotation, find the magnitude of the downward torque, from both the weight of the rod and the weight of the plant.