For the plane area shown below, a) Locate the centroid b) Calculate the Moment of Inertia,...

Question

Question

For the plane area shown below, a) Locate the centroid b) Calculate the Moment of Inertia, Ix and ly, and the radius of Gyrat

Answer 1

Answer #1

2 in 32 in 8 i0 in tin 4S G25 Au A2 (sxy ) + (24 9 ) ^ 9-35 in Att AD Ivs 3 -ΤΣ.tr Bas-uf ] ] + | 121223+ (24 (9-2.PS?) 드 200

Answer 2

Similar Homework Help Questions

2. CENTROID AND MOMENT OF INERTIA For the shape shown below, determine the following: (Make sure...

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) C. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) у 1 ft 1 ft X 3 ft 3 3 ft ſõda Ž= S dA Sõda j = S dA ΣΧΑ ž=...
2. CENTROID AND MOMENT OF INERTIA For the shape shown below, determine the following: (Make sure...

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) C. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) у 1 ft 1 ft 3 ft 3 ft Sõda S dA SỹdA j= S dA ΣΧΑ x= ΣΑ ΣΥΑ y =...
plz help show all work For the area shown, determine the following a. Find the rectangular...

plz help show all work For the area shown, determine the following a. Find the rectangular moments of inertia I, and ly, 2. the polar moment of inertia Jo, and the radii of gyration Kx, Ky, and ko (3, 3) b. Find the centroid of the area (x, y) c. Using the theorem of Pappus and Guldinus determine the volume obtained by rotating the area about the y-axis Coordinates are in units of inches

3. For the following composite area shown below. Shaded regions have material while white regions are...

3. For the following composite area shown below. Shaded regions have material while white regions are empty. Include proper units. a. Find the location of the centroid measured from the shown X and Y axes. b. Calculate the moment of inertia and radius of gyration about the indicated axes Yc centroidal Ixe = bh?/12 and Iye = hb/12 h Xc b Yc centroidal Ixe = 1 r*/4 and lye - r*/4 Xc KX - Ky = Lt 2" 6" X=...
(a) Determine the moment of inertia Ix' of the cross-sectional area. (b)Determine the moment of inertia...

(a) Determine the moment of inertia Ix' of the cross-sectional area. (b)Determine the moment of inertia ly' of the cross-sectional area. The origin of coordinates is at the centroid C. 203 mm 605 mm 28mm 203 mm 28 mm 28 mm
Consider the area shown in Figure 4. Determine; a) The 2nd Moment of Area (Ix and...

Consider the area shown in Figure 4. Determine; a) The 2nd Moment of Area (Ix and ly) about the axis system shown. b) The Polar Moment of Inertia (Jo) about point O. c) The 2nd Moment of Area (lx and ly) about an axis system that runs through the centroid of the area and the Polar Moment of Inertia (Jo) about the centroid of the area. [5+3+5 = 13 marks] 100 mm-100 mm 150 mm 150 mm 150 mm 75...

Locate the centroid of the plane area shown.

Locate the centroid of the plane area shown.
Locate the centroid (x, y) of the shaded area. 6in. Find the area moment of inertia...

Locate the centroid (x, y) of the shaded area. 6in. Find the area moment of inertia of shaded area around x-axis and y-axis. 6 in.
3. For the following composite area shown below. Shaded regions have material while white regions are...

3. For the following composite area shown below. Shaded regions have material while white regions are empty. Include proper units. a. Find the location of the centroid measured from the shown X and Y axes. b. Calculate the moment of inertia and radius of gyration about the indicated axes fYc centroidal Ixc=bh3/12 and lyc = hb3/12 h Xc b 4Yc centroidal Ixe = 1 r*/4 and Iyo = r4/4 Xc Kx = = TEM Ky = { 6" X- (5...

Problem 1 1. Locate the centroid of the shaded plane area shown (x,y) 2. The moment...

Problem 1 1. Locate the centroid of the shaded plane area shown (x,y) 2. The moment of inertia about the x-axis ** All the dimensions are in mm. 80 30 60 -20- Problem 2 The tower truss is subjected to the loads shown. 1. Using Method of sections, determine the force in members EF, EG, and DG 2. Using the results from (1) and Method of joints, determine the force in member ED Indicate whether the members are in tension...