Concept explainers
The
Want to see the full answer?
Check out a sample textbook solutionChapter 9 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
- The uniform lamina of density 2.2 kg/m2. for a=2.2 m,b=4.8 m,c=8 m,d=8.9 m 1-The x-co-ordinate of total area centroid is: (a.8.27 - b.13.17 - c.7.05 - d.8.88 - e.6.13) 2- The y-co-ordinate of total area centroid is: (a.1.96 - b.2.68 - c.3.04 - d.1.61 - e.3.57) 3- The total mass is : ( a. 163.00 - b. 326.00 - c. 244.50 - d. 81.50 - e. 40.75 )arrow_forwardThe uniform lamina of density 2.2 kg/m2. for a=2.2 m,b=4.8 m,c=8 m,d=8.9 m, 1- x-co-ordinate of shape (1) is: (a. 1.78 - b. 2.23 - c. 4.45 - d.8.90 - e. 2.97 ) 2- y-co-ordinate of centroid of shape (2) is: (a. 3.80 - b. 4.52 - c.2.33 - d. 5.28 - e. 4.60 ) 3- The total area is: (a.81.50 - b. 150.78 - c. 52.98 - d. 69.27 - e. 110.03) 4- The total mass is: ( a. 163.00 - b. 326.00 - c. 244.50 - d. 81.50 - e. 40.75 )arrow_forwardSolve Prob. 3.43 for the position corresponding to x = 4 in. The 20-in. tube AB can slide along a horizontal rod. The ends A and B of the tube are connected by elastic cords to the fixed point C. For the position corresponding to x = 11 in., determine the angle formed by the two cords, (a) using Eq. (3.30), (b) applying the law of cosines to triangle ABC.arrow_forward
- For the surface shown in the figure below, determine:a) The xc and yc coordinates of its centroid;b)The moments of inertia and product of inertia in relation to the centroidal axes x' and y' (axes parallel to x and y , which pass through the centroid);c)Using Mohr's circle, the new moments and product of inertia obtained by rotating these centroidal axes by 35° counterclockwise.arrow_forwardUse the method of composite areas to calculate the centroidal coordinates of the plane region shown. a x¯ = 0.782 in., y¯ = 5.96 in. b x¯ = 0.872 in., y¯ = 5.96 in. c x¯ = 0.872 in., y¯ = 6.95 in. d x¯ = 0.278 in., y¯ = 9.56 in.arrow_forwardThe X coordinate of the centroid of an isosceles triangle of base b and height h is Select one: h/3 h/2 b/3 b/2arrow_forward
- A homogeneous wire is bent into the shape shown. Determine by direct integration the x coordinate of its centroid.arrow_forwardIt is known that for a given area Iy = 48 x 106 mm4 and Ixy = -20 x 106 mm4, where the x and y axes are rectangular centroidal axes. If the axis corresponding to the maximum product of inertia is obtained by rotating the x axis 67.5° counterclockwise about C , use Mohr’s circle to determine (a) the moment of inertia Ix of the area, (b) the principal centroidal moments of inertia.arrow_forwardThe Y coordinate of the centroid of an isosceles triangle of base b and height h is Select one: 2h/3 b/2 h/2 h/3arrow_forward
- For the entire section shown, the moments of inertia with respect to the centroidal x and y axes at point C are Ix = 0.162(106) mm4 and Iy = 0.454(106) mm4, respectively. a. Determine the product of inertia with respect to the centroid at C, in mm4. b. Use a Mohr's Circle to determine the orientation (in degrees) of the principal axes of the section about the centroid C. c. Use the same Mohr's Circle to determine the values of the principal moments of inertia about the centroid C, in mm4.arrow_forwardA circular cylinder is welded on the center of the base of a rectangular prism, forming a hammer-like object. The mass of the cylinder is 2kg, and the mass of the rectangular prism is 10kg. The origin of the rectangular axes is at the centroid of the cylinder. Determine the following: 1. moment of intertia about the z-axis 2. radius of gyration about the z-axisarrow_forwardA simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY