1.3 cm 1.0 cm -0.5 cm 3.8 cm 0.5 cm AI B 3.6 cm PROBLEM 9.44 Determine the moments of inertia I, and I, of the area shown with respect to centroidal axes respectively parallel and perpendicular to side AB.
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- The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4, respectively. Determine y (the y-coordinate of the centroid C) and Ix (the moment of inertia about the centroidal x-axis).The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.need asap Determine the moment of inertia (cm4) Īy of the area shown with respect to the vertical line that passes to the centroid of the composite area if a = 4.6 cm, b = 13.4 cm, and c = 6 cm. Round off only on the final answer expressed in 3 decimal places.
- Determine the moment of inertia (cm4) Īy of the area shown with respect to the vertical line that passes to the centroid of the composite area if a = 4 cm, b = 13.6 cm, and c = 6 cm. Round off only on the final answer expressed in 3 decimal places.Determine the moment of inertia (cm4) Īx of the area shown with respect to the horizontal line that passes to the centroid of the composite area if a = 5.3 cm, b = 11.9 cm, and c = 6 cm. Round off only on the final answer expressed in 3 decimal places.Calculate and determine the Moments and Principal Axes of Inertia of the profile below, indicating the best position to use the profile.Where:h = 21 cmb = 28 cm
- Prove that the centroidal polar moment of inertia of a given area A cannot be smaller than A2/2π (Hint:Compare the moment of inertia of the given area with the moment of inertia of a circle that has the same area and the same centroid.)Determine the moment of inertia of a rectangle 100cm by 300cm with respect to a line through its center of gravity and parallel to the shorter side.determine the centroidal polar moment of inertia of a rectangle 100mm wide by 200 mm high
- For the figure shown knowing that a = 1.00 cm and b = 4.00 cm, determine:(a) The centroid of the figure shown.b) The moments of inertia Ix and Iy and the product of inertia Ixy about the x and y axes.c) The angle m corresponding to the location of the principal axes.d) For the u-v axes shown and obtained by rotating an angle = 34.0° clockwise, the corresponding momentsand product of inertia using Mohr's circle.Calculate and determine the Moments and Principal Axes of Inertia of the profile below, indicating the best position to use the profile. h = 21 cmb = 28 cmConsider a circular, semi-circular, and a quarter-circular steel plate, whose moment of inertia about the z-axis are Izc, Izs, and Izq, respectively. They have equal mass densities and thicknesses. Which of the following is correct? a. Izc=Izs greater than Izqb. Izcgreater thanIzs=Izqc.Izcgreater thanIzsgreater thanIzq