Fluid pressure 2

Question:

For the compound manometer shown in Fig. 3.31, calculate the pressure at point A.

Solution

Fluid pressure

Question:

Find an analytic formula for the vertical and horizontal forces on each of the semicircular panels AB in Fig. P2.94. The width into the paper is b. Which force is larger? Why

Solution:

Center of Mass

Question:

1. Determine the x-, y-, and z-coordinates of the mass center of the sheet-metal shape shown.

2. Determine the coordinates of the mass center of the bracket, which is constructed from sheet metal of uniform thickness.

Solution:

Gate

Question:

For this gate, α = 45°, y1 = 3 ft, and y2 = 6 ft. Will the gate fall or stay in position under the action of the hydrostatic and gravity forces if the gate itself weighs 18,000 lb and is 3 ft wide? Assume T = 50°F. Use calculations to justify your answer.

Solution:

Mass in Cone

Question:

A particle of mass m slides without friction on the inside of a cone. The axis of the cone is vertical, and gravity is directed downward. The apex half-angle of the cone is θ, as shown. The path of the particle happens to be a circle in a horizontal plane. The speed of the particle is v0. Draw a force diagram and find the radius of the circular path in terms of v0, g, and θ.

Solution: