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Q3) (30 Points) a) Calculate the centroid of the given shape? (15 points b) Calculate the...
1. For the following shape, a. Find the location of centroid. b. Find the area moment...
1. For the following shape, a. Find the location of centroid. b. Find the area moment of inertia about "y" axis 50 30-- x. 15 Dimensions in mm
For the shaded shape shown 1. Calculate the area of the shaded shape 2. Calculate the...
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...
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 (1x) C. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) y 1 ft 1 ft 3 ft 3 ft
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 (Xoar, you) b. Moment of inertia about the x-axis (1) c. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) Y 1 ft 1 ft X 3 ft 3 ft
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 (1x) C. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) y 1 ft 1 ft Х 3 ft 3 ft
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) 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 the figure shown, calculate: a) the centroid of the figure, around point A. b) the...
For the figure shown, calculate:
a) the centroid of the figure, around point A.
b) the polar moment of inertia of the figure around point B.
y R А 0 36,4 plg B 15 plg 15 plg
Determine the centroid of the homogeneous plate, with respect to the given axes. Also determine the...
Determine the centroid of the homogeneous plate, with respect to
the given axes.
Also determine the moment of inertia in Ix
Note:
* For the semicircle the centroidal moment of inertia at x is equal
to
0.1098R ^ 4
*For the triangle, the centroidal moment of inertia at x is equal
to
bh³ / 36
Y 10 cm 40 cm 20 cm 40 cm X 20 cm
CENTROID AND MOMENT OF INERTIA For the shape shown below, determine the following: (Make sure to...
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 (1x) c. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) 1 ft 1 ft Х 3 ft 3 ft
CENTROID AND MOMENT OF INERTIA For the shape shown below, determine the following: (Make sure to...
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 (1x) 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 ft
1. For the following shape, a. Find the location of centroid. b. Find the area moment of inertia about "y" axis 50 30-- x. 15 Dimensions in mm
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...
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 (1x) C. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) y 1 ft 1 ft 3 ft 3 ft
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 (Xoar, you) b. Moment of inertia about the x-axis (1) c. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) Y 1 ft 1 ft X 3 ft 3 ft
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 (1x) C. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) y 1 ft 1 ft Х 3 ft 3 ft
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 the figure shown, calculate:
a) the centroid of the figure, around point A.
b) the polar moment of inertia of the figure around point B.
y R А 0 36,4 plg B 15 plg 15 plg
Determine the centroid of the homogeneous plate, with respect to
the given axes.
Also determine the moment of inertia in Ix
Note:
* For the semicircle the centroidal moment of inertia at x is equal
to
0.1098R ^ 4
*For the triangle, the centroidal moment of inertia at x is equal
to
bh³ / 36
Y 10 cm 40 cm 20 cm 40 cm X 20 cm
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 (1x) c. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) 1 ft 1 ft Х 3 ft 3 ft
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 (1x) 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 ft
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