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T1a8p - Assignment 8 Problems(Fall Term Physics 102 12...

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12. Consider the following mass distribution where the xy coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.0 kg at (0.0, 4.0) m, and 4.0 kg at (3.0, 0.0) m. Where should a fourth object of 8.0 kg be placed so the center of gravity of the four- object arrangement will be at (0.0, 0.0) m? ( -1.5m ,-1.5m) 8. A water molecule consists of an oxygen atom with two hydrogen atoms bound to it as shown in Figure P8.8. The bonds are 0.100 nm in length and the angle between the two bonds is 106°. Use the xy axes shown and determine the location of the center of gravity of the molecule. Take the mass of an oxygen atom to be 16 times the mass of a hydrogen atom. x cg = 6.69 X 10 -3 nm, y cg = 0.0 nm F IGURE P8.8 18. A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 200 N and is 3.00 m long. What is the tension in each rope when the 700-N worker stands 1.00 m from one end? T 1 = 567 N, T 2 = 333 N 20. A hungry 700-N bear walks out on a beam in an attempt to retrieve some “ goodies” hanging at the end (Fig. P8.20). The beam is uniform, weighs 200 N, and is 6.00 m long; the goodies weigh 80.0 N. (a) Draw a
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