Example: Find the forces required to hold the curved gate steady. Horizontal Force: vertical projection of...
a) The horizontal force(s) (direction and magnitude) acting on the gate per unit width and draw the pressure distribution diagram(s) [6 marks] b) The vertical force(s) acting on the gate per unit width (Include direction and magnitude). [6 marks] c) If the gate is 5 m long (into the page), calculate the magnitude, direction and angle of the resultant hydrostatic force acting on the gate. [7 marks] d) The net horizontal force acting on the dam per unit width. Include...
Water is in steady fully developed laminar flow between two horizontal, very wide (W) and long (L) parallel surfaces separated by a distance b. The bottom surface at y 0 moves in the negative x-direction at a speed vo while the top surface at y b is stationary. In addition, a constant pressure gradient dP/dx is acting on the liquid in the x-direction. (a) Write the simplified form of the Navier-Stokes equation and the appropriate boundary conditions. (b) Derive an...
PLEASE READ THIS BEFORE YOU START SOLVING: I need an explanation for Part d only. The correct answer is 4.02 m, but I don't know how to get it, thanks! No need to do parts a, b and c!! THANK YOUUUUU Free Surface A curved surface as shown in the diagram above) defined as a quarter circle with radius of length r = 18 m is submerged in a liquid with the flat edge at a distance h - 10...
Water is flowing through a horizontal pipe with diameter, D1, at a velocity, V1, and under a pressure, P1. It enters a 900 reducing bend (Shown in grey in Fig 2) that connects to a vertical pipe of diameter, D2. The inlet of the bend is 50 cm above the exit of the bend (as shown in Fig 2). Axes for positive directions of x and z coordinates are provided. Figure 2 Side view of reducing bend from horizontal to...
Video Example EXAMPLE 1 A dam has the shape of a trapezoid shown in the top figure. The height is 20 m and the width is 40 m at the top and 20 m at the bottom. Find the force on the dam due to hydrostatic pressure if the water level is 6 m from the top of the dam. 40 m SOLUTION We choose a vertical x-axis with origin at the surface of the water and directed downward as...
ements Constants ents SOLUTION We will look at an example where several forces are acting on an object, but in this case the forces are not all along the same axis. As shown in (Figure 1), a car engine with weight to hangs from a chain that is linked at point to two other chains, one fastened to the ceiling and the other to the wall. Find the tension in each of the three chains, assuming that is given and...
Work Done by the Govtational Force bute the gravitational force G m./r into the integral equation on the previous genith Y replacing and find the work done by this force df w is the work done by the gravitational for moves away from t he gravitational force positive, negative, or zero when an object in the Earth? When it moves toward the Earth? When it orbits the Earth in a circle? Part B: Conservative and Non-conservative Forces welop and understorence...
Sample Class Problems-Force and Acceleration Prob#l: Two people are pushing a stalled car (the mass of the car is 1850kg). One person applies a force to the car, while the other applies a force of 395N. Both forces act in the same of 560N also acts on the car, but in a direction opposite force arises because of friction and the extent to which the pavement opposes Find the acceleration of the car. direction. A third force to that in...