By Arthur L. Kimball
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Re-creation of the main widely-used textbook on reliable kingdom physics on this planet. Describes how the excitations and imperfections of tangible solids should be understood with basic types that experience firmly demonstrated scope and tool. the basis of this publication relies on test, software and idea.
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60. -The center of gravit~ as has just been explained is determined by the distribution of mass in a body or system of bodies. It has certain remarkable • , , • :;, Y MECHANICS 36 properties quite independent of weight, and is therefore also called the center oj mass or center of inertia of the body or system. For example, a freely rotating body like a spinning projectile will always rotate about an axis through its center of mass. FlO. 29. 61. -When a body is hung by a cord or balanced on a point the center of gravity must be in the vertical line passing through the point of support.
Me condusion is reached taking moments about some point such as C. 57. -If in the case just treated the upward force 4 is changed to 6, we have a case that calls for special consideration. The upward forces are exactly equal to the downward forces and yet the bar is not in equilibrium, for taking moments about P we find that the clockwise moment is 10 while the counterclockwise moment is 2 + 18 = 20. Here, then, there is a com- MECHANICS 34 binaUon 0/ forces that does not tend to produce translation, but simply rotation.
And having a 2-lb. weight on one end and a 7-lb. weight on the other. 7. Forces 2 and 4 actillg upward are applied 'to a horizontal bar at 2 ft. and 4 ft. from the left-hand end, respectively, also forces 3 and I acting downward are applied at 1 ft. and Sft. from the eameend. Find amount and point of application of a single force producing eqjJilibrium. 8. CUI downward at a point 3 ft. from the left-hand end of the bar. WORK AND ENERGY 39 9. A board 2 ft. square is acted on by five forees applied at the same point6 as shown in figure 22, but the forcel!