Practical Geometry And Graphics

Cover Practical Geometry And Graphics
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206 shows the application of the method to the determination of the momen*t of inertia of the shaded figure about an axis a'a" in the plane of the figure. The area is divided into parallel strips, and parallel forces AB, BC, CD, DE, and EF are supposed to act at the centres of gravity of these strips, the magnitudes of the forces being proportional to the areas of the strips. The sum of the moments of these forces about the given axis is equal to a'f x oh, and the sum of their moments of inerti...a is equal to a"f" x o'h' x oh. The lengths a'f and a"f" must be measured with the area scale and the lengths oh and o'h' with the linear scale.
Exercises Vlllb 1. Three coplanar forces P, Q, and E (Fig. 207) act on a rigid body which is capable of rotation about an axis through O at right angles to the plane of the forces. P = 8 lb. , Q = 10 lb. , and R = 6 lb. Find the resultant moment of these forces about 0. Determine the magnitude and sense of the force S which will prevent the rotation of the body.


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