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Show that the system of hydrostatic forces acting on a submerged plane area A can be reduced to a force P at the centroid C of the area and two couples. The force P is perpendicular to the area and has a magnitude of
Fig. P9.65
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Vector Mechanics for Engineers: Statics
- Two 12-kg spheres are placed 400 mm apart. Express the gravitational attraction acting between the spheres as a percentage of their weights on earth.arrow_forwardThe plane region A is submerged in a fluid of weight density . The resultant force of the fluid pressure on the region is R acting at the point C (called the pressure center) located at the distance h below the surface of the fluid. Show that R=Qa and h=Ia/Qa, where Qa and Ia are the first and second moments of A about the axis a-a.arrow_forwardA shape that covers an area A and has a uniform height h has a volume V= ah Show that v= ah is dimensionally correct.arrow_forward
- 3. Determine the resultant of the three forces acting on the dam and locate its intersection with the base AB. For good design, this intersection should occur within the middle third of the base. Does it? P= 15 kN W = 27 KN F = 8,000 N 8m 63 21marrow_forwardThe pressure loading on the plate varies uniformly along each of its edges. Determine the magnitude of the resultant force and the coordinates (x, y) of the point where the line of action of the force intersects the plate. Hint: The equation defining the boundary of the load has the form p = ax + by + c, where the constants a, b, and c have to be determined. A) c=10 40 lb/ft B) c=40 30 lb/ft 20 lb/ft C) c=30 10 lb/ft 5 ft D) c=50 10 ft O E) c=20 P(x, y) = ax + by +c c = ?arrow_forwardThe coordinates of the centroid of the line are = 332 and = 102. Use the first Pappus Guldinus theorem to determine the area, in m2, of the surface of revolution obtained by revolving the line about the x-axis. The coordinates of the centroid of the area between the x-axis and the line in Question 9 are = 357 and = 74.1. Use the second Pappus Guldinus theorem to determine the volume obtained, in m3, by revolving the area about the x-axis.arrow_forward
- The pole AB is held up by the rope attached to B. The magnitude of the force in the rope is T = 240 lb. Determine P and Q, the components of T that are parallel and perpendicular to AB, respectively.arrow_forwardA circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an angle of 60 degrees with the free surface of water. Determine the total force in kN when the upper edge of the plate is 2 m below the free water surface. include your free body diagram. a.157.72 b.317.97 c.126.52 d.228.69arrow_forwardThe resultant of the three forces acting on the ring bolt is R = 180j Ib. Given that T2 = 40 lb, determine T1 and T3. %3Darrow_forward
- Determine the location of the resultant normal force acting on the crate measured from point A. The crate is symmetric with uniform mass. Units in mm. P=164.4 N=474.6arrow_forwardThe solar panel attached to the roof in Fig. 2.2-13 has a weight of W = 400N. Determine the rec- 2.2-4 tangular components of the weight of the panel in the inclined coordinate system. Express the weight of the solar panel in vector form. 0 = 70° . W Fig. 2.2-13arrow_forwardDeterminethe magnitude (lb) of the horizontal component of force at point C if P = 150.5 lb, x = 13.6 in, y = 6.8 in, and z = 8.3 in.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L