The inclined tube manometer shown in the next figure is used to measure small pressure perturbations (Ap). This manometer is composed of a large tube (diameter (D), area (A)) and a small inclined capillary tube (diameter (d), area (a)) and angle (0). Any small pressure difference will result in fluid displacement (Ah) in the large tube and a significant displacement of the fluid in the capillary at a length (AL.). Ap D initial level Ap (1) Obtain a relationship between (Ah) and (AL) ! (hint: displaced liquid in large tube is equal to that in the small tube ) (2) What the formula for (z2 – z1) ? (hint : height between level 2 and level 1) (3) Express the pressure (P2-P1) in terms of (AL, 0. p, g, d, and D) ? (4) At what angle should the manometer be adjusted so that (AL-5 Ah) ?

Learning Goal: To replace force-couple systems with an equivalent force by specifying the magnitude and direction of the equivalent force and the location where the force needs to be applied. Part B - Analyzing the force-couple system on a bracket Certain force-couple systems can be replaced by a single force. The requirement is that the lines of action of the resultant force, FR, and the resultant couple moment, (MR)o, are For the bracket shown below, F = 126 lb, F2 = 42 lb, and M = 420 lb · ft.(Figure 2)Replace this force and couple system with an equivalent force by specifying the magnitude of the force, the direction in which the force acts, and where the force's line of action intersects member AB as measured from A. perpendicular to each other. This is equivalent to saying the following types of force systems can be simplified to a single Express your answers, separated by commas, to three significant digits. The angle should be measured counterclockwise from the positive x axis…

The U-tube in Fig.  is open at A and closed at D. Ifaccelerated to the right at uniform a x , what acceleration will cause the pressure at point C to be atmospheric? Thefl uid is water (SG = 1.0).

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