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Find the area of the parallelogram with vertices: P(0,0,0), Q(-2,4,0), R(-2,2,-2), S(-4,6,-2).
Find an equation of a plane containing the three points (-2, 5, -3), (-7, 3, 1), (-7, 4, 3) in which the coefficient of x is -8.
If the elastic limit of steel is 5.0 10^8 Pa, determine the minimum diameter a steel wire can have if it is to support a 69-kg circus performer without its elastic limit being exceeded.
Determine the moment of inertia and the radius of gyration of the shaded area with respect to the x axis.
The entrance is square edged, and the elbows are 90o. There is a fully opened gate valve on the suction side and the discharge side, and there is a swing type check valve on the discharge side. Dete
If the blades are originally at rest and begin to turn with a constant angular acceleration of ac = 0.5 rad/s^2, determine the magnitude of the velocity and acceleration of points A and B on the bla
Calculate the minimum velocity of flow in ft/sec and m/sec of water at 160 degrees F in a 2 in. dia pipe for which the flow is turbulent
A valve is now opened and steam at 1Mpa at 473 K is allowed to enter the cylinder until the volume inside increases to 0.04m^3 . Determine the final temperature of the steam and the amount of mass t
What is the change in internal energy for a piston and cylinder system initally containing 0.5m^3 of helium at 100kPa and 5C being compressed to 200kPa
The force on the piston is such that it maintains a constant pressure of 400 kPa inside. A valve is now opened nad steam at 1 MPa, 200 degrees C is allowed to enter the cylinder until the volume ins
At the inlet, the pressure is 6 MPa, the temperature is 500 degrees C, and the velocity is 20 m/s. At the exit, the pressure is 0.5 MPa, the quality is 0.95(95%), and the velocity is 75 m/s. The tur
A piston-cylinder device initially contains 20 g of saturated water vapor at 300 kPa. A resistance heater is operated within the cylinder with a current of 0.4 A from a 240 V source until the volume
A rigid tank contains 1 kg of H20 at 100 kPa, x=0.1. Given that the tank can withstand a maximum internal pressure of 2 MPa, determine (a)the maximum temperature to which the steam in the tank can be
What is the maximum weight that can be suspended on a 16 Kg poll, 3/5 from the end. The maximum tension of the 30 degree guy-wire is 1500 N. Find the horizontal and vertical forces exerted on the po
A bolt located 50 mm fm he center of an automobile wheel is tightened by applying the couple for 0.10 s. Assuming that the wheel is free to rotate and is initially at rest, determine the resulting a
The two upper lengths of the welded Y-shaped assembly of uniform slender rods have a mass per unit length of 0.3 kg/m, while the lower length has a mass of 0.7 kg/m. Locate the mass center of the as
A waste heat source is available at 400°C. A heat engine operates using heat from this source. It rejects heat to the surroundings at 38°C. The power from the engine runs an air conditioner
Gaseous oxygen (99% pure, molar basis) is to be produced at a rate of 350ft^3/hr in a Linde single column plant. The column operates at a pressure of 1 atm. Air leaves the compressor at a pressure o
A solid ball starts to roll up a hill with an initial velocity of 50m/s. The ball has a mass of 20 Kg with a 0.75 m radius. How high did the ball roll before it momentarily stopped
A uniform ladder with a mass of 15 kg is placed on a frictionless vertical wall. An 80 kg person climbs up the ladder. If the coefficient of friction between the floor and the base of the ladder is
The drinking water standard for tetrachloroethylene is 0.005 mg/L. Using EPA exposure factors for residential consumption, what lifetime risk would this pose What concentration would correspond to a
A water treatment plant effluent is to be disinfected with chlorine from ton cylinders of compressed gas. The plant is 5 million gallons per day. There are a total of 10 useable cylinders in the pla
A trapezoidal channel with a bottom width of 4 feet and side slopes 2:1 (H:V) and a bed slope of 1 percent conveys a discharge of 50,000 gpm. Assume n = 0.025. Compute the normal depth
What is the normal depth in a 4-foot wide rectangular channel that conveys a discharge of 100 CFS and has a bed slope of 2% with a Manning's roughness coefficient of 0.025