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(Rigid body rotation) Derive the equation for the shape of the surface zsurf(rsurf) for a rigid-body rotation of water at angular speed (rad/sec). Follow this process:
1) Start with pressure gradient in cylindrical coordinates:
2) Write out force balance in r and z directions
3) Integrate using the method we did in class: F = ma in r-direction gives: P(r,z) = P(r) + f1(z) F = ma in z-direction gives: P(r,z) = P(z) + f2(r)
4) Solve for z(r) at surface, where P = Patm = constant
show that energy of an isolated system is conserved
Define Supports Pins and Jack Pins When the work is clamped directly in the body of the jig or fixtures, there is always a chance of error due to improper supports on accounts
1 A hydraulic pump generates 240W and supplies hydraulic fluid at a rate of 5.1l/min to a linear actuator which has a bore size of 50 mm and a double piston rod diameter of 20mm. I
Difference between projectile motion and a rocket motion? Ans) A projectile has no motor or rocket on it, so all of its momentum is given to it as it is opened. An example of a
Water flows into the sink shown in figure 5 at a flow rate of 8 L/min. If the drain is closed, the water will eventually flow through the overflow drain holes rather than over the
unstable governors
Example of Wedge friction: T wo blocks A and B are employed to raise load of 2000 N resting on another block C by the application of force P as shown in the figure g
CONDUCTION OF ELECTRICITY IN GASES Electricity can pass through different media. In the case of gases, the atoms or molecules are not packed and they are free to move. In fact
Collapsible Soils and Subsidence There are soils which are quite stable when dry and they show large volume changes on wetting under load. Examples of these soils are loess (w
(a) Illustrate Fourier Series and calculate the constant coefficients. (b) A Harmonic motion is provided by x(t) = 10sin(30t -π/3) where t in seconds and phase angle in radians.
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