Unformatted text preview: 352 —— Chapter 10
Properties of Areas ~IdAr2 = [2‘ +y2); 2 (1014) ' '7
A A A A ICISJ'L: The parallel axis theorem, used to determine the moment of inertia about a parallel axis some
distance removed from a centroidal axis, is derived from the following relation: A A A A A '* PRQBLEMS 10.1 Derive the equation for the area of an ellipse with a major axis of a and a minor axis of b.
10.2 Derive the equation for the area of an equilateral triangle with an altitude of h and a base of b. 10.3 Derive the equation for the area of a semicircle. 10.4 A straight line is described by y = ax + b. Determine the area between the line and the x—axis
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- Spring '08