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A sphere of solid density rho s and diameter D is dropped to a water pond (density rho s and viscosity mu). Initial vertical displacement is x(t=0) = 0 and initial velocity is v(t=0) = 0. Derive the governing differential equation for the motion. Solve the equation using Laplace Transform. Derive the terminal velocity v0 when acceleration becomes zero. Derive the characteristic relaxation time t* in terms of all given variables.
a raindrop of mass 3.36 10-5 kg falls vertically at constant speed under the influence of gravity and air resistance.
saturated liquid water at 1 kgs and 200 kpa is mixed steadily with 4 kgs of water at 200 kpa and 200ordmc with the goal
a circular hollow steel drill pipe should not stretch more than 5mm when it is subjected to a tensile load. knowing
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a steady incompressible two-dimensional velocity field is given byvuv12.5xyi-.5-1.5x-2.5yjwhere the x- and
determine the time needed for the velocity to become v=vf. initially the particles falls from rest.
heat in the amount of 190kj is transferred directly from an energy-source at 790k to an energy-sink at 2065k. prove
a truck is traveling on a level road at a speed of 60 mih when its brakes are applied to slow it down to 20 mih. an
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