Gate AB, shown in Figure 1, comprises a uniform mass of 180 kg, with a length of 1 m and a width of 1.2 m into the paper, hinged at A, and resting on a smooth bottom at B. The specific weights of glycerin and water are 12360 N/m³ and 9790 N/m³, respectively. Determine the depth of water, denoted as "h", at which the force applied at point B becomes zero. Good Luck 2 m V Glycerin 1 m 60° B Water

Gate AB, shown in Figure 1, comprises a uniform mass of 180 kg, with a length of 1 m and a width of 1.2 m into the paper, hinged at A, and resting on a smooth bottom at B. The specific weights of glycerin and water are 12360 N/m³ and 9790 N/m³, respectively. Determine the depth of water, denoted as "h", at which the force applied at point B becomes zero. Good Luck 2 m V Glycerin 1 m 60° B Water

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.121P: One side of the container has a 03-m square door that is hinged at its top edge. If the container is...

See similar textbooks

Similar questions

The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =62.4lb/ft3 for water.
The cylindrical water tank with R = 10 ft and H = 1.6 ft has thin steel walls of uniform thickness and weighs 18000 lb when empty. Determine the depth of the water h for which the center of gravity G of the tank plus water will be located at the surface of the water. For water, use =62.4lb/ft3.
The thin-walled cylindrical can with a spherical dimple weighs 0.2 lb. Determine the force P required to push the can into water to a depth of 8 in. Use =0.036lb/in.3 for water.
Each of the three gates has a constant width 1: (perpendicular to the paper). Calculate the force P required to maintain each gate in the position shown. Express your answers in terms of b, c, h, and (the weight density of the fluid).
Find the elevation h (km) where the weight of an object is one-tenth its weight on the surface of the earth.
The weight of the cylindrical tank is negligible in comparison to the weight of water it contains (water weighs 62.4lb/ft3). The coefficient of static friction between the tank and the horizontal surface is s. (a) Assuming a full tank, find the smallest force P required to tip the tank, and the smallest s that would allow tipping to take place. (b) If the force P = 200 lb initiates tipping, determine the depth of water in the tank.
The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.
The high-pressure water cock is rigidly attached to the support at D. Neglecting the weights of the members, draw the FBD of the entire assembly and count the unknowns.
A concrete seawater dam is shown in cross section. Is the dam safe against tipping about edge A? The mass densities are 24000kg/m3 for concrete and 1030kg/m3 for seawater.
A man weighs 170 lb on the surface of the earth. Compute his weight in an airplane flying at an elevation of 28 000 ft.
Compute the surface area of the axi-symmetric domed structure.
A gate AB 4 ft long and 2 ft wide is held in position shown due to the spring whose constant is 96.0 Ibf/in. The spring is located compressed 1.5 ft in such a way as to keep the gate in equilibrium. Assume that on the gate (which moves through a circular sector BD as shown in Fig. figure), the force due to the spring is always horizontal. Determine the height d of the water.