850. A certain area has the following properties: I. = 40 in.', I, = 100 in.,...

 

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850. A certain area has the following properties: I. = 40 in.', I, = 100 in.", Pry= 40 in. Determine the values of the maximum and minimum moments of inertia, and also the angle that the axis of maximum inertia makes with the X axis. Illustrate by a diagram. 851. Refer to Prob. 850 and determine the moments of inertia and the product of inertia with respect to U and V axes inclined 45 clockwise to X and Y re- spectively. 852. A right triangle has a base of 8 in. and an altitude of 9 in. Determine the maximum and minimum moments of inertia with respect to the principal axes pass- ing through the centroid. 853. For an 8 by 6 by 1 in. angle, it is known that I, = 38.8 in., 7, = 80.8 in., and Pry=-32.3 in. Compute the minimum radius of gyration. 854. Determine the maximum and minimum moments of inertia of the Z section described in Fig. P-826 on page 208 with respect to the principal axes passing through the centroid. From Prob. 841 it is known that Py = -18.9 in.. 850. A certain area has the following properties: I. = 40 in.', I, = 100 in.", Pry= 40 in. Determine the values of the maximum and minimum moments of inertia, and also the angle that the axis of maximum inertia makes with the X axis. Illustrate by a diagram. 851. Refer to Prob. 850 and determine the moments of inertia and the product of inertia with respect to U and V axes inclined 45 clockwise to X and Y re- spectively. 852. A right triangle has a base of 8 in. and an altitude of 9 in. Determine the maximum and minimum moments of inertia with respect to the principal axes pass- ing through the centroid. 853. For an 8 by 6 by 1 in. angle, it is known that I, = 38.8 in., 7, = 80.8 in., and Pry=-32.3 in. Compute the minimum radius of gyration. 854. Determine the maximum and minimum moments of inertia of the Z section described in Fig. P-826 on page 208 with respect to the principal axes passing through the centroid. From Prob. 841 it is known that Py = -18.9 in..

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