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Consider a slender rod AB of mass m and length L pinned at its midpoint O to a vertical shaft. The rod can rotate by θ about the pin, and the shaft can rotate by φ about its long axis. The mass of the shaft and collar may be neglected. The cord keeps the rod at an initial angle of 30? with the vertical while the shaft is initially rotating freely at angular velocity φ? = 200 rad/s. The cord suddenly breaks.
a. Find an expression for the tension in the cord before it breaks.
b. Find the differential equations of motion for the rod (θ¨ and φ¨) after the break.
A coal-fired power plant is producing 10,000 kW (=10 MW) of electrical power. If the plant has a thermodynamic efficiency of 28%, how many kilograms (kg) of coal are being burned per hour to maintain this output? The heat of combustion of coal is 36,..
A satellite is currently in a 300 km altitude circular orbit and needs to be transferred into a geostationary circular orbit. The mission designers require the transfer to have a semi-major axis of 35,000 km. compute the required delta- v values for ..
design an outside storage facility for methane gas ch4. 110 kg is the maximum mass of methane to be stored at this
How far above the pump must the liquid level in the reboiler be maintained to give a net positive suction head of 2.5m - Explain Pitot tube in detail. What is the difference between pitot tube and pitot static tube?
1. (a) In your own words describe briefly the phenomenon of luminescence. (b) What is the distinction between fluores- cence and phosphorescence?
Consider an engine cover that is made with two layers of metal plates. The inner layer is stainless steel (k1 = 14 W/m*k) with a thickness of 10 mm, and the outer layer is aluminum (k2 = 237 W/m*K) with a thickness of 5 mm. Both metal plates have a s..
Is there anything you would change about your undergraduate experience. You use a primary care doctor you trust with your healthcare concerns, right. This is especially profitable in case you have a continued require for the purchase of a package of ..
A uniform bar of length l and weight w is suspended symmetrically by two strings, set up the differential equation of motion for small angular oscillations of the bar about the vertical axis, and determine its period.
An air-conditioning system operating on the reversed Carnot cycle is required to transfer heat from a house at a rate of 727 kJ/min to maintain its temperature at 21°C. If the outdoor air temperature is 39°C, determine the power required to operate t..
an engineering student measures an ambient lab pressure and temperature of 405.35 in. h2o and 70.5 f respectively and
Using the energy content (wet basis) of the waste components given in the Table P2-17, calculate the overall energy content of the waste having the composition shown. This calculation can be simplified by assuming 100 lb of waste
a solid square cross-sectional bar bxb with a yield stress of 250 mpa is subjected to a compressive axial force p 140
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