. Applied calculus; principles and applications . Example 5. — Find the moment of inertia of the trapezoid:(a) about its lower base; (b) about the gravity axis. ix ^on -t^2^fi 4 ^ 12 = 216 + 144 = 360 (ins.)^.Ig = Ix- Aa = 360 - 36 (f)2 = 104 (ins.)*.. CHAPTER VII. APPLICATIONS. PRESSURE. 188. Intensity of a Distributed Force. — A distributedforce is one that acts on a surface, such as the pressure ofwater against the surface of contact, the pressure of a weightupon the surface of its support; or, one that acts through agiven volume, such as the attraction of the earth on a
. Applied calculus; principles and applications . Example 5. — Find the moment of inertia of the trapezoid:(a) about its lower base; (b) about the gravity axis. ix ^on -t^2^fi 4 ^ 12 = 216 + 144 = 360 (ins.)^.Ig = Ix- Aa = 360 - 36 (f)2 = 104 (ins.)*.. CHAPTER VII. APPLICATIONS. PRESSURE. 188. Intensity of a Distributed Force. — A distributedforce is one that acts on a surface, such as the pressure ofwater against the surface of contact, the pressure of a weightupon the surface of its support; or, one that acts through agiven volume, such as the attraction of the earth on a body. All forces are really distributed forces since no finite forcecan act at a point of no area; although this is true, in somecases it is convenient to regard a force, whose place of appli-cation is small, as though it were applied at a point. Sucha force is called a concentrated force. A distributed force isconceived as equivalent to a concentrated force calledthe resultant force, when the force of gravity acting on everyparticle of a body is taken as acting at a point within thebody, called the center of gravity. A distributed force isregarded as the limiting case of a system of concentratedforces whose number becomes larger as their ind
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