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If a mass of liquid in gravity free space is in equilibrium, then it has the form of a sphere, stabilised by its own surface tension (see given Figure(left)).
Suppose that the mass now rotates like a rigid body with constant angular velocity. What will its equilibrium shape be now? Show that, as the angular speed increases, the mass becomes more oblate until its top and bottom surfaces become quite flat (Figure given(centre)).
Show further that, at higher angular speeds, the top and bottom surfaces approach each other until they meet (Figure given (right)) and the mass breaks up.
Find this critical angular speed for a sphere of mercury of radius 5 cm.
Find the horizontal and vertical components of thrust which must be produced in order to hold the vehicle in the position shown. The vehicle itself is neutrally buoyant.
the surface pressure of venus is about 90 bar and the surfacetemperature is ap-proximately 880 degrees f. the
steam expands in a turbine steadily at a rate of 36048 kgh entering at 8 mpa and 600degc and leaving at 20 kpa as a
When the equilibrium of the 5 kg uniform disk is disturbed, it rolls back and forth on the rigid base without slipping. If the maximum displacement of the center of the disk from its equilibrium position is 25 mm
Recompute maximum tensile and compressive stresses if a 120 mm ×10 mm cover plate is added to one flange as shown.
a car air conditioning system operates with r-134a in the peak summer outside at 100degf and inside desired at 77degf.
Evaluate properties at an appropriate film temperature and show what effect this approximation has on the convection coefficient estimate.
Develop a state space model for this system using the linear graph approach.
Calculate the fluid horsepower to 2 decimal points for the situation given below. The formula for fluid power from a 100% efficient motor is:
What is hogr? How much steam pressure is required to maintain adequate vacuum with it? Where are hogr used in general?
A control rod made of yellow brass must not stretch more than 0.125 in when the tension in the wire is 800 lbs. Knowing that E = 15,000,000 psi and that the maximum allowable stress is 32 ksi (32,000 psi), determine the smallest diameter that can ..
A tubular aluminum bar (G = 28 GPa) of square cross section (see figure) with outside dimensions 50 mm x 50 mm must resist a torque T = 340 N ·m. Calculate the minimum required wall thickness t if the allowable shear stress is 31 MPa and the allow..
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