The next two problems refer to the figure 1 below. у 3 in.3 in.-- 6 in....
For each figure, determine: The coordinates of the centroid of the area in the figure below; b.Determine the moment of inertia about the centroidal x and y ‐axis 3. For each figure, determine: a. b. The coordinates of the centroid of the area in the figure below; Determine the moment of inertia about the centroidal x and y -axis 50" 2* m25 m 3" dia 5 m cutou 90" NA 21 1 m 25" 5* 3. For each figure, determine:...
For the shaded shape shown 1. Calculate the area of the shaded shape 2. Calculate the location of the x-centroid of the shaded shape 3. Calculate the location of the y-centroid of the shaded shape 4. Calculate the moment of inertia of the shaded shape about the y centroidal axis 5. Calculate the moment of inertia of the shaded shape about the x centroidal axis 6. Calculate the moment of inertia about the x axis (along the bottom of the...
Figure 6 8 marks] (a) Locate the centroid E,) of the shaded areas. (b) Determine the moment of inertia of the shaded area about the x-axis 7 marks 0.2 m 3.0 m 0.9 m 0.9 m 0.9 m Figure 6: The pendulum consists of a slender rod and a thin plate Figure 6 8 marks] (a) Locate the centroid E,) of the shaded areas. (b) Determine the moment of inertia of the shaded area about the x-axis 7 marks 0.2...
Problem 3. (25 points total) Determine (a) The area A of the shaded region. (b) The x location of the centroid of the shaded area, which is called x. (Use an integral to confirm the value found by inspection from symmetry.) (C) The y location of the centroid of the shaded area, which is called y. (d) The moment of inertia, Ix, of the shaded area about the x axis. (e) The moment of inertia, ly, of the shaded area...
x = ky2 X For the section shown, it k has a value of 2 and b has a value of 8: 1. Calculate the area of the shaded area 2. Calculate the distance from the y axis of the x centroid 3. Calculate the distance from the x axis of the y centroid 4. Calculate the moment on inertia about the y centrodial axis 5. Calculate the moment of inertia about the x centroidal axis 6. Calculate the moment...
2. CENTROID AND MOMENT OF INERTIA For the shape shown below, determine the following: (Make sure to label or describe the different segments.) a. Centroid (Xbar, Ybar) b. Moment of inertia about the x-axis (lx) The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) C. у 1 ft 1 ft х 3 ft 3 ft
. For each figure, determine: a. b. The coordinates of the centroid of the area in the figure below; Determine the moment of inertia about the centroidal x and y -axis 50% 2" 25 m 90" 3" dia cutout 41 .5 m NA 2 .1 m 25" 5* . For each figure, determine: a. b. The coordinates of the centroid of the area in the figure below; Determine the moment of inertia about the centroidal x and y -axis 50%...
3. Refer to the graph as shown in Figure A3. (a) Determine the first moment of area of the shaded region formed by arc y=x? about y-axis, as shown in Figure A3. (5 marks) (b) Calculate the area of the shaded region, as shown in Figure A3. (3 marks) 40 35 30 25 y = x2 (V) 20 15 10 5 0 2 (x) Figure A3
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in the figure below. a. State the distance of the centroid from the 2 axis. b. Calculate the area moment of inertia about the centroid. c. Calculate the maximum stress in the beam 300 mm 20 mm 185 mm 20 mm 35 mm 1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in...
10–53. Determine the moment of inertia of the area about axis. the y у 3 in.3 in.-- 6 in. 2 in. 4 in. Probs. 10-52/53