2. Gate AB is a quarter circle 10 ft wide into the paper and hinged at point B. Find the force F that is enough to keep the gate from opening. The gate is uniform and weighs 3000 lbf. B r = 8 ft Water

The inside surface of each thin shell carries a uniform normal pressure of intensity p0. Compute R, the magnitude of the resultant force for each case.

Using the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.

For the ladder in Prob. 6.17, find the internal force system acting on section 2, assuming that x < a/2.

The center of gravity of the plane wire figure is located at G. Determine the lengths a and b.

The properties of the unequal angle section are Ix=80.9in.4,Iy=38.8in.4, and Iu=21.3in.4. Determine Ixy.

The concrete dam shown in cross section holds back fresh water (=1000kg/m3). Determine the resultant force R of the water pressure acting on one meter length of the dam. Also, compute the coordinates of a point on the line of action of R.

One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.

The 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.

Compute the surface area of the axi-symmetric domed structure.