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International Edition---engineering Mechanics: Statics, 4th Edition
- An area is composed of the parabola y = x2 /200 and the line y = 200. Compute the moment of inertia about the horizontal axis that passes through the centroid of this area. (Centroidal x-axis) a. 914285714 u^4 b. 1682285714 u^4 c. 73142857 u^4 d. 146285714 u^4arrow_forwardFind 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. (enter only the values in the boxes by referring the units given in bracket) b2 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)=arrow_forwardFind 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)=arrow_forward
- Find the moment of inertia (ly) of the given lamina about Y-Y axis passing through its centroid, where b1=108 mm, d1=38 mm, b2= 62 mm & d2=84mm. (enter only the values in the boxes by referring the units given in bracket) b2 TP b1 O The X value is (unit is in mm) = O The Y value is (unit is in mm) (i) the lyyi value is (unit is in mm)= (iv) the lyy2 value is (unit is in mm)= . (V) The lyy value is (unit is in mm4)=arrow_forward3 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD using the coordinate set (x, y, z) in the figure. The dimensions of the wire are a = 15 cm, b = 27 cm. Which of the following is the correct coordinates of the homogeneous wire in the x, y and z axes?A) (23.57; 11.43; 17.14)B) (28.29; 13.71; 20.57)C) (23.57; 17.14; 11.43)D) (28.29; 20.57; 13.71)E) (20.61; 13.03; 9.08)arrow_forward1. Determine the value of y= 2. determine the value of I with respect to centroidal x axis=arrow_forward
- The cross-sectional area shown below has dimensions h = 152 mm, t₁ = 23 mm, t₂ = 21 mm, and b = 245 mm. Determine the y-coordinate of the centroid (y), where y is the signed distance from the z-axis to the z-axis. The z-y axes pass through the centroid of the cross section and are positive in the directions shown. y = 60.33 1 t₁ 1 Y b mm B harrow_forward6 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD in the figure using the (x, y, z) coordinate set. The dimensions of the wire are a = 24 cm, b = 36 cm. Which of the following is the correct coordinates of the BC part of the homogeneous wire in the x, y and z axes?A) (36; 12; 24)B) (18; 12; 0)C) (36; 24; 12)D) (36; 12; 0)E) (36; 24; 0)arrow_forwardFind the centroid of the region bounded by the graphs of the functions y = 7², y = x² + 4 The centroid is at (ī, j) where = 23arrow_forward
- Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where b1=92 mm, d1=36 mm, b2= 64 mm & d2=84mm. (enter only the values in the boxes by referring the units given in bracket) b2 d2 d1 b1arrow_forwardFor the shaded region shown, determine the following using vertical strip: a. Area X= 2y -3 4 b. First moment of the shaded area with respect to x-axis c. First moment of the shaded area with respect to y-axis d. Centroid (x, ỹ) 2 1 -1 -1 0 1 2 3 4 5 Answer: Area = 343/48 units?; Q, = 2401/240 units3; Qy = 1029/64 units; (x, y)= (9/4, 7/5) 5. 3.arrow_forwardThe shaded area shown is bounded by x,y axes and the curve y2 = 3.24 − 0.5x m2 , where x is in m. Suppose that a = 6.48 m and h = 1.8 m . A) Determine the moment of inertia for the shaded area about the y axis. Iy = ?arrow_forward
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