3. For the following composite area shown below. Shaded regions have material while white regions are...
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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 lyc = hb?/12 h Xc b Yc centroidal Ixe = r4/4 and Iye = 1r4/4 Xc ka nga X- Y- 8" (5 points) (5...
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...
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2. If the position vector r= 151 - 10j +20k (m) and force F = 250i +400j - 600k (N). a) Find the angle between r and F in degrees. 8 = degrees (5 points) b) Calculate vector M = r XF= k (5 points) 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...
2. If the position vector r= 15i - 10j + 20k (m) and force F = 250i + 400j - 600k (N). a) Find the angle between r and F in degrees. - degrees (5 points) b) Calculate vector M=rXF= k (5 points) 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...
Calculate the area A and locate the centroid (X, Yc) of the shaded region shown below. Assume a = 41 cm, b = 32 cm, and r = 20 cm. cm cm XC = Yc = cm
Example #3: Using composite bodies and a tabular method, locate the centroid for the shaded area shown measured from the x and y axes. 150 mm 150 mm 150 mm - 200 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...
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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
Problem 3 (20 points) - The shaded area shown below is bounded on the right at x 2 ft, bounded on the top by the equation y-(%), and bounded on the botton by the equation y x. The shaded area has a magnitude of A-4 Using the integration method, determine the vertical location of the centroid () with respect to the x-axis shown. SOLUTIONS y (ft) -2
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=...