7. In Figure 6, the cups and the arms of an anemometer are fabricated from a material of density p. Knowing that the mass moment of inertia of a thin, hemispherical shell of mass m and thickness t with respect to its centroidal axis GG' is 5ma2/12, determine a. the mass moment of inertia of the anemometer with respect to the axis AA' b. the ratio of a to 1 for which the centroidal moment of inertia of the cup is equal to 1% of the moment of inertia of the cups with respect to the axis AA'. Page 5 of 8 Figure 6

7. In Figure 6, the cups and the arms of an anemometer are fabricated from a material of density p. Knowing that the mass moment of inertia of a thin, hemispherical shell of mass m and thickness t with respect to its centroidal axis GG' is 5ma2/12, determine a. the mass moment of inertia of the anemometer with respect to the axis AA' b. the ratio of a to 1 for which the centroidal moment of inertia of the cup is equal to 1% of the moment of inertia of the cups with respect to the axis AA'. Page 5 of 8 Figure 6

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

h y b
For items 4 and 5. A thin rectangular plate is welded on the center of the top of a circular cylinder. The mass of the cylinder is 5kg and the mass of the triangular plate is 2kg. Note that the x-axis is located on the centroidal x-axis of the triangular plate. 30cm 26cm 0.1725 m diam. d=7cm X 10cm 4. Which of the following is closest to the moment of inertia of the composite object about the x- axis? 0.208 kg-m^2 5. Which of the following is closest to the radius of gyration of the composite object about the x- axis?
A uniform circular disk 3ft in diameter weighs 960lb. what is its moment of inertia abouti ts usual axis?
The machine element shown is fabricated from steel, where h = 64 mm. The density of Steel is y 40 mm 20 mm- 80 mm 40 mm 20 mm 40 mm Determine the mass moment of inertia of the assembly with respect to the z axis. The mass moment of inertia of the assembly with respect to the z axis is x 10-3 kg-m².
Consider 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
. The thin plate shown is composed of a rectangular plate of mass 102 kg and a quarter-circular plate of mass 60 kg. Which of the following best pproximates the mass moment of inertia of the shape about the x-axis? ´r = 1.500 m 3.00 m
The figure shown is formed of 1.5-mm-diameter aluminum wire. Knowing that the density of aluminum is 2800 kg/m3 , determine the mass products of inertia Ixy, Iyz, and Izx of the wire figure.
6. Derive an expression for the moment of inertia of the pictured semi- circular loop-rod device about an axis through the point P, perpen- dicular to the page. The mass of the semicircular loop is 3.14 kg, and the rod is 3.0 kg. Take R = 1.0 m. [24.14 kg m²] 3R
inertia of the assembly with respect to (a) the x axis, (b) the y axis, (c) the z axis. (The density of steel is 7850 kg/m³.) The machine element shown is fabricated from steel. Determine the mass moment of 40 mm 40 mm 20 mm 20 mm 80 mm 60 mm 40 mm
For the wire figure of the problem indicated, determine the mass moment of inertia of the figure with respect to the axis through the origin characterized by the unit vector y= (-3i - 6j +2k)/7Prob. 9.148Reference to Problem 9.148:A homogeneous wire with a mass per unit length of 0.056 kg/m is used to form the figure shown. Determine the mass moment of inertia of the wire with respect to each of the coordinate axes.
Exercise: Object consisting of hemisphere and truncated cone (a) Find the mass moment of inertia about the z-axis by integration, (b) Find the mass moment of inertia about the x-axis by integration. The density of the material is 7.85 Mg/m3. 300 mm -100 mm 450 mm 300 mm
The machine element shown is fabricated from steel. Determine the mass moment of inertia of the assembly with respect to (a) the x axis, (b) the y axis. (c) the z axis. (The density of steel is 7850 kg/m3.)