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A heavy uniform rope of mass M and length 4a has one end connected to a fixed point on a smooth horizontal table by light elastic spring of natural length a and modulus ½ Mg, while the other end hangs down over the edge of the table.
When the spring has its natural length, the free end of the rope hangs a distance a vertically below the level of the table top. The system is released from rest in this position. Show that the free end of the rope executes simple harmonic motion, and find its period and amplitude.
Check for time of concentration, tc, value and if it is unrealistic, adjust the K value in the model noting that the K value can be as high as 50 or 60. Provide a graph of the hydrograph you obtain along with a tabular summary of your outputs.
q1.a single stage reciprocating compressor has a swept volume of 0.4 litres and operates at 1440 rpm through a pressure
Assume the properties of the thin sample and the magnitude of the applied heating rate are the same as those measured and used in Example 5.10.
a 10-l radiator filled with superheated water vapor at 200 kpa and 300 degc with both inlet and exit valves closed. the
heat in the amount of 190kj is transferred directly from an energy-source at 790k to an energy-sink at 2065k. prove
the combustion of methane gas ch4 with air leads to the following volumetric analysis of the product gases on a dry
A rectangular, unfinished concrete channel of 28-ft width is laid on a slope of 8 ft/mi. Determine the flow depth and Froude number of the flow if the flowrate is 400 ft3/s.
a shaft is a circular cross sectional with diameter of 1.5 is subjected to loading of bending mz 5000 lb-in and a
air is compressed in a piston-cylinder device from 90 kpa and 22 deg celsius to 900 kpa in a reversible adiabatic
The disk has mass m, radius r and moment of inertia IG = mr2/2. The spring constant is k = mg/r. Find the velocity of the centre of the disc as a function of x
a system consists of 2 kg of water at 100 degrees c and 1 bar. determine the exergy in kj if the system is at rest and
A rigid tank with a volume of 1.8 m^3 contains 15 kg of saturated liquid-vapor mixture of water at 2 bar. Now the water is slowly heated. Determine the temperature at which the liquid in the tank is completely vaporized. Show the process on a T-v dia..
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