A tank of gas connected to a manometer is shown below. The manometer is a U-shaped glass tube open to the atmosphere at one end and containing water. From the elevations shown, calculate the gauge pressure in the vessel.

Parallel laminar Flow Between Infinite Planes with a Manometer A Newtonian fluid with viscosity μf and density pf is contained between two infinite horizontal parallel planes (separated by a distance d as shown below). The fluid flows laminarly under the action of a pressure gradient and the velocity U of the upper plane (the bottom plane is fixed). A manometer (with fluid density pm and viscosity μm) is connected between two points L apart along the bottom plane and indicates a differential reading of Ah. Using the coordinate system depicted in the figure below, calculate the velocity distribution in terms of known variables by performing a shell balance. What value must U have so that the frictional drag force on the upper plate is zero? Sketch the velocity profile for this last case (i.e., zero frictional drag force on the upper plate). d Pf ༑ Ah Pm L X

Solve this question using geometry and drawing To steady a sign as it is being lowered, two cables are attached to the sign at A. Using trigonometry and knowing that the magnitude of P is 300 N, determine (a) the required angle a if the resultant R of the two forces applied at A is to be vertical, (b) the corresponding magnitude of R. A 360 N 35° α P

2C.4 Falling-cylinder viscometer (see Fig. 2C.4). A falling-cylinder viscometer consists of a long vertical cylindrical container (radius R), capped at both ends, with a solid cylindrical slug (ra- dius KR). The slug is equipped with fins so that its axis is coincident with that of the tube. One can observe the rate of descent of the slug in the cylindrical container when the lat- ter is filled with fluid. Find an equation that gives the viscosity of the fluid in terms of the ter- minal velocity of the slug and the various geometric quantities shown in the figure. Cylindrical slug descends- with speed t -XR- Cylindrical container filled with fluid Fig. 2C.4 A falling-cylinder viscom- eter with a tightly fitting solid cylin- der moving vertically. The cylinder is usually equipped with fins to maintain centering within the tube. The fluid completely fills the tube, and the top and bottom are closed. (a) Show that the velocity distribution in the annular slit is given by (1-)-(1+¹) In…