For the figure below 30 mm 120 mm 120 mm 270 mm 60 mm 30 mm 5a) Determine the centroid y Type equation here. 5b) Determine moment of inertia Ix Type equation here. 5c) Determine moment of inertia Iy Type equation here.
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- Figure Q10 shows the shaded area with the equation given. Calculate: y² = 1 – 0.5x 1 m 1 m -2 m– Figure Q10 a) the moment of inertia of the shaded area about the x axis. b) the moment of inertia of the shaded area about the y axis.4) The mass of the homogeneous thin metal plate is 65.0 kg. a) Find the coordinates of the center of mass. b) Find the mass moment of inertia about the z-axis. c) Find the mass moment of inertia about the axis parallel 10.0m to the z-axis, but going through the center of mass. Don't forget to include the units for everything. 3.00m 6.00m 5.00m 5.00mWith the Given image attached. Find: a) The area of the shaded portion of the figure above. b) The Area Moment of Inertia about the x and y axis. c) The Centroid Coordinates xc and yc. d) The Radius of Gyration about the x and y axes. e) The Mass Moment of Inertia about the x and y axes.
- For the section given in the figure, calculatea) the position of the centroid, G,b) moments of inertias with respect to xy coordinate system, Ix , Iy , Ixy, passing through the centroid,c) the principal moments of inertias,d) principal direction.GIVEN : b = 4 cm, b1 = 2,5 cm, h = 4 cm, t = 0,4 cmDEABOLAR Clossic 4. beam,calculate about the eentroidal Symmetrical a) find Ybar of moment of inertia axis. The the beam is about 6) looking at the the y-axiso beam, caleulate inertia about its X-axis, The beam is Symmetrical moment of cen troidal about c) the * and y arisa in what beam is the moment of inertia 150 greatest 150 the I20 200 E20 300 20 liso l'- SoFind Ixx for the given Plane, where b =160m, d;=25m, b2=20m, d2=12Om, b3=50m & d3=20 m b3 d3 b2 d2 di bi The value of X= (unit in m) The value of Y= (unit in m) The moment of inertia for sec 1 = lyy1 = (unit in m4) The moment of inertia for sec 2 = lyy2 = (unit in m4) The moment of inertia for sec 3 = lyy3 = (unit in m4) The moment of inertia of the given plate = lyy = (unit in m4)
- a)Enter the Moment of Inertia of the rectangle (1) about its own centroidal x-axis, Enter your answer in the form: x106 mm4, to five significant figures. b)Enter the Moment of Inertia of the rectangle (1) about the x-axis, Ix Enter your answer in the form: x106 mm4, to five significant figures. c)Enter the Moment of Inertia of the quarter circle (2) about its own centroidal x-axis, Enter your answer in the form: x103 mm4, to five significant figures. d)Enter the Moment of Inertia of the quarter circle (2) about the x-axis, Enter your answer in the form: x106 mm4, to five significant figures. e)Enter the Moment of Inertia of the triangle (3) about its own centroidal x-axis, Enter your answer in the form: x103 mm4, to five significant figures. f)Enter the Moment of Inertia of the triangle (3) about the x-axis, Enter your answer in the form: x103 mm4, to five significant figures. g)Enter the Moment of Inertia of the Composite shape about the x-axis, Ix :Enter your answer in the form:…S-2) The center of gravity (Xm, Ym) of the Shaded area in Figure 2 and Ixx and lyy Find the moments of inertia about the axes. y 150 cm + 100 cm-30.a cm 30.a TAKE a=9,6 150 4.a cm cm Şekil 2Question 8 Figure Q8 shows the shaded area with the equation given. Calculate: y h2 Figure Q8 a) the moment of inertia of the shaded area about the x axis. b) the moment of inertia of the shaded area about the y axis.
- Q1: For the shaded area shown in the figure Find:- sem A)Centroid B)Moment of Inertia With respect to the X-axis. 5cmFor the surface shown in the figure below, determine:a) The xc and yc coordinates of its centroid;b)The moments of inertia and product of inertia in relation to the centroidal axes x' and y' (axes parallel to x and y , which pass through the centroid);c)Using Mohr's circle, the new moments and product of inertia obtained by rotating these centroidal axes by 35° counterclockwise.Centroids and Moment of Inertia for composite figures Determine the centroids (x, ÿ) of the figure shown below from the axes of reference (blue arrows) Use the blue arrows as the axes of reference. 30 Take note that when the axis of reference is not at the end of the figure, the left side / the downward side values must be negative using Varignon's Theorem. Ex: in finding x from the set y-axis, the value of the centroids of individual figures on the left is negative, while on the right side of the figure is positive. R20 Determine the Moment of Inertia (Not Centroidal) of the given figure (Ix) 20. 45 1. Determine x 2.0508, 4.4548,9.4548 , 7.0508 2. Determine y 42.6086 , 49.6088 ,22.3436 ,55.4436 9879988.8980 , 8887788.8980, 7998988.8980 , 8779988.8980 3. Determine Ix