PROBLEM 4: The region is symmetric about the x-axis. Calculate the moment of inertial about the centroidal x and y axes. ANS: I = 10.35 × 106 mm², I♬ : = 1.74 × 106 mm² y 68 mm 17'mm 18 mm 17 mm 27 mm x
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- Find the moment of inertia of the following figure about X-X and Y-Y axis passing through the centre of gravity. PQ = 50 cm, QS = 60 cm & PR = 90 cm R S Q3. For the figure shown, find the moment of inertia about X axis. -3m + -3m 2m 6m 4mDetermine the area moments of inertialx and ly. Given that c = 0.94 in. lx || 4 in. || y -0.5 in. The area moments of inertia /x and ly are as follows: 4 in. 0.5 in. 4 in. 4 in. X
- Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where b1=110 mm, d1=38 mm, b2= 70 mm & d2=100mm. b2 d2 TP b1 (i) The X value is (unit is in mm) = (i) The Y value is (unit is in mm) = (iii) the Ixx1 value is (unit is in mm4)= (iv) the Ixx2 value is (unit is in mm4)= (v) The Ixx value is (unit is in mm4)=For the section shown; Find: . The moment of inertia about x0-x0 axis • The moment of inertia about yo-yo axis • The moment of inertia about x-x axis 10 mm 120mm 50 mm X ++F=²0 10 mm 50 mm 10 mm XH mm Bmm dmm find the moment of inertia about x-axis B=46 mm H=176 mm d= 20 mm
- 1. For the Isosceles triangle shown to the right, find the moments of inertia, Ix and Iy, about the centroidal axes. Hint: break into two right triangles and use parallel axis theorem. Ans: Iy = bh³/36, I, = hb³/48 y 2h/3 h/3 X b/2 b/2Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = 7y - 3y² and the line x + 2y = 0 if 8(x,y) = x + 2y. Choose the correct sketch of the plate described above. O A. Q O A. SS F(x,y) dy dx O B. OB. F(x,y) dx dy Q Select the order of integration that will make the computations easier and fill in the limits of integration in your choice. G O C. O D. Use the given density function 8 to write the appropriate integrand F(x,y) for finding the moment of inertia. Then substitute into the correct integral from the previous step and evaluate to find the moment of inertia for the plate. The moment of inertia is (Simplify your answer.) Q Q ✔For the section below: а. Determine the moment of inertia with respect to the X-axis. b. Determine the moment of inertia with respect to the Y-axis. C. Determine the moment of inertia with respect to the X'-axis. 40 mm 80 80 30° tw = 40 mm 40 mm 200 mm 9. 300 mm 220 mm
- For the shape below, the moment :of inertia about X-axis is 25 mm 250 mm 25 mm 25 mm |x= 1791666667 mm^4 O |x= 1792226667 mm^4 O Ix= 222135416.7 mm^4 O 200 mmThe shaded area has the following properties: 4 = 126 x10 mm* ; 1, = 6,55 x10* mm* ; and Pay =-1.02 10° mm* Determine the moments of inertia of the area about the x' and v' axes if e=30°.Find moment of inertia of the cross-sectional area about the X-axis, Y-axis, and X'-axis, given: L1 = 60 mm, L2 = 20 mm, L3 = 60 mm, L4 = 90 mm