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the engine in the rocket is supposed to provide a constant thrust of 5000 KN. the turbopump unit in the engine nominally operates at 7000 rpm, and a result of design issue, the actual thrust provided by the engine oscillates harmonically with an amplitude of 10 KN at the same rotational frequency as the turbopump unit. the mass of the engine is m= 5000 kg. the rest of the rocket is much heavier than the engine and can be treated as being fixed. the engine is mounted to the rocket via two structural members, each of which can be modeled as consisting of a linear spring of stiffness k in a parallel with a dashpot with linear viscous damping coefficient c. determine the smallest values of c and k such that the static deflection due to the constant component of the thrust is less than 0.01 m and so that the vibration amplitude in the nominal operating regime is less than 0.001 m. ignore the stiffness and damping due to the piping. HINT: if x is measured from the equilibrium position of the engine that results from the combined effect of the thrust and gravity, then the engine is subject to an extremely applied forcing equal (10sinw0t) kn, where w0 is the rotational frequency of the turbo pump
A 30-liter volume of gas at 25 degrees C contains 12 g of methane (CH4), 1 g of nitrogen (N2), and 15 g of carbon dioxide (CO2). Calculate (a) the moles of each gas present, (b) the partial pressure exerted by each gas, and (c) the total pressure ..
The aluminum end and the copper end are maintained at temperatures of 50°C and 260°C, respectively. The thermal conductivities of aluminum and copper are 205 and 385 W/m · K, respectively. The temperature of the aluminum-copper junction in the rod..
The tank has an inside diamater of 100 cm and will be subjected to a maximum internal pressure of 820 kPa. The allowable tensile stress in the wall is 83 MPa, and the allowable tensile stress in the weld is 55 MPa.
A cubic shape tank has the dimensions of 10 m by 10 m by 20 m tall. Calculate the volume of he tank in gallons
For a mixture 10 mol % methane 20 mol % ethane 70 mol % butane at 50 degrees Fairenheit determine the bubble point pressure
Two transmission belts pass over sheaves welded to an axle supported by a thrust bearing at B and a journal bearing at D. The sheaves A has a radius of 50mm, and the sheave at C has a radius of 40mm.
What is the length of a 2 degree increment along a (A) meridian and (B) parallel at 45N and 115W. Assume the radius of Earth is 6370 km.
An open rectangular tank contains water up to about half its depth. this tank accerlerates at a=2.2m/s2 up a slope of alpha, which causes the free water surface to form an angle theta with the horizontal plane. what is angle aplha of the slope
If there are 50 vehicles on a 4000-ft highway lane and the average time headway between two adjacent vehicles is 2.2 seconds. A) Calculate traffic density in vehicle/mile (vpm) and average space headway in feet/vehicle (fpv).
A smart, anti armour weappon is launched of an aircraft flying at 250 knots (422 FT/s) straight and level at an altitude of 300FT above the ground, the weapon is released from the aircraft with an initial downward velocity of 15FT/s.
a simple random sample of 20 items from a normal population resulted in a sample mean of 17.25 and a sample standard devation of 3.3 a. develop a 90% confidence interval for the population mean. b. develop a 95% confidence interval for the populatio..
Determine the magnitude of reaction at point A (in kips) of a 20' beam with 5kips at 4' of the beam and 2kips at 9' of the beam at 350lbs./ft.
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