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A light elastic string is stretched to tension T0 between two fixed points A and B a distance 3a apart, and two particles of mass m are attached to the string at equally spaced intervals.
The strength of each of the three sections of the string is α. The system performs small oscillations in a plane through AB.
Without making any prior assumptions, prove that the particles oscillate longitudinally in two of the normal modes and transversely in the other two. Find the four normal frequencies.
Material D has a molecular weight of 213.45 g/mol and material E has a molecular weight of 75.12 g/mol. You desire to have a mixture of 15 mol % D. How much D is required to be added to 500 g of E to make this mixture?
A similar caisson is placed in open water, on a layer of sand. The water level is 5 m above the top of the sand, so that the top of the caisson is 5 m above water. Again calculate the average total stress and the average effective stress just belo..
refrigerant -134a at 800kPa and 25 C is throttled to a temperature of -20C. determine the pressure and the internal energy of the refrigerant at the final state.
one of the walls of a dam is at 67 degrees to the horizontal. the wall is 8 m long and 40 m wide. density of the water
for each case determine the specified property value and locate the state by hand on sketches of the p-v and t-v
a factory has a large liquid propane storage tank. the propane is to be used as vapor. evaporation of the liquid
in the reservoir of a supersonic wind tunnel the pressure and temperature of air are 10 atm and 320 k respectively.
a cylindrical tank is to contain gas at a pressure of 400 psi and for safety reasons the hoop stress in the tank wall
On a beautiful day your ship sights a water spout in the East Indian Ocean. You fix your position as 6000 ft from the spout and record a wind velocity of 10 ft/s. What wind velocity and barometric pressure does a fishing boat 600 ft from the spout ex..
The nominal diameter of the bolts is 10 mm and the clearance holes in the plate are drilled 10.5mm diameter.
Ethyl alcohol flows through a horizontal tube having a diameter of 10 mm. If the mean velocity is 0.15 m/s, what is the pressure drop per unit length along the tube? What is the velocity at a distance of 2 mm from the tube axis?
consider an ocean thermal energy conversion power plant in hawaii designed to operate between temperature limits of
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