A gas is contained in a vertical, frictionless piston-cylinder device. The piston has a mass m₁ = 6.4 kg and a cross-sectional area A = 35 cm². A compressed spring above the piston exerts a force of 300 N on the piston. If the atmospheric pressure is 101 kPa, determine the pressure of the gas inside the cylinder. Show free-body diagram for force analysis.

The parabolic end-plate of the trough shown here is subjected to a fluid pressure that varies linearly from 0 at its top to 100 lb/ft? at its bottom B, that is, p(y) = 100 -25y. Determine the magnitude of the resultant force on the end-plate. 2 ft 2 ft y = x² 4 ft B O 501 Ib O 271 Ib O 314 Ib O 427 Ib O 623 Ib

The gate shown in Figure 5 has a mass of 225 kg/m normal to the screen/page and is normal to the page.It is supported by a counterweight made of concrete (Specific gravity = 2.5). If θ = 30o, determine the minimum mass(in air) of the counterweight per unit length of the gate (into the page) required to keep the gate in equilibrium asshown. Neglect the weight of the arm required to hold the counterweight.

1. The tank is fined with water. Determine the resultant force acting on the triangular plate A and the location of the center of pressure. Measured from the top of the tank. Solve the problem using the Geothermal Method. (Hibbeler, 2015). 2 m 2m 0.5 m 0.6 m 0.75 m 0.75 m 0.3 m 0.6 m 0.3 m

A gas is contained in a vertical, frictionless piston– cylinder device. The piston has a mass of 2.10 kg and a cross sectional area of 8 in². A compressed spring above the piston exerts a force of 24 lbf on the piston. If the atmospheric pressure is 99 kPa, determine the pressure inside the cylinder. Draw the schematic diagram.

A gas is contained in a vertical, frictionless piston– cylinder device. The piston has a mass of 5 kg and a cross-sectional area of 35 cm2. A compressed spring above the piston exerts a force of 75 N on the piston. If the atmospheric pressure is 95 kPa, determine the pressure inside the cylinde

A mass of 10 kg and 5 kg mass are tied to a light string and hung over a frictionless pulley.     Determine the accelaration and tension on the sting. Assume a weightless and a frictionless pulley.

The periodic escape of the steam in this manner prevents any potentially dangerous pressure buildup and keeps the pressure inside at a constant value. Determine the mass of the petcock of a pressure cooker whose operation pressure is 100 kPa gage and has an opening cross-sectional area of 4 mm2 . Assume an atmospheric pressure of 101 kPa, and draw the free-body diagram of the petcock.

a force is 1.6 kN is applied uniformly on piston of 8 cm diameter. determine the pressure on the piston.

A force, P, is applied to a piston with a mass of 15 kg and a diameter of 43 cm that rests on top of a cylinder containing water as shown. (The piston is free to move in the cylinder, but is sealed so no water can escape.) An open U-tube manometer is connected to the cylinder as shown. Determine the applied force, P in kN, if h1 = 68 mm and h = 100 mm. You can use the following data: the specific weight of water is 9.81 kN/m³ and the specific gravity of mercury is 13.546. Approximate your answer to three decimal places TU Piston Water Mercury