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1. A string 4 m long is stretched, resulting in a wave speed of 60 m/s. It is given an initial displacement of 0.2 sin πx/4 and an initial velocity of 20 sin πx/4. Find the solution representing the displacement of the string.
2. A 4-m-long stretched string, with a = 20 m/s, is fixed at each end. The string is started off by an initial displacement u(x, 0) = 0.2 sin πx/4. The initial velocity is zero. Determine the solution for u(x,t).
the first step in the manufacture of the isobutene from the isomerization of n-butane is to compress the feed stream of
Consider a system consisting of liquid water initially at T1 = 318 K, p1 = 3.5 bar undergoing a process to a final state at T2 = 353 K, p2 = 1.5 bar. (with Sketches)
For each configuration shown in table 1, determine the angular displacements, angular velocities and angular accelerations of links 3 and 4 graphically and analytically . Use the Excel sheet discussed in the lecture to help you do the analytical s..
a motorcycle starts from rest at t 0 and travels along a straight road with a constant acceleration of 5 fts2 until it
Further, it might be pointed out that, as we shall verify later, the in-plane displacement harmonics were chosen so as to approximately satisfy the inplane equations of equilibrium.
Show that Airy's stress function ? = Crθ sinθ satisfies the biharmonic equation. Also determine the stresses in polar co-ordinate system.
The cylinder shown is of weight W and radius r. Express in terms W and r the magnitude of the largest couple M that can be applied to the cylinder if it is not to rotate,
A slow leak develops in an inner tube (volume, 0.5 ft3, temperature, 600F), wherein it takes 4 hours for the pressure to decrease from 30 to 25 psig. The mass flow rate of air per second under the conditions is given by 0.68pA/(RT)0.5, where the unit..
Describe the kutta condition.
a engineer designs a heat engine using flat-plate solar collectors. the collectors deliver aeat at 70 degrees c and
Computer study-Influence of supports on Itframe behavior. (a) Using the RISA-2D computer program, compute the initial elastic deflection at midspan of the girder in Figure, given that the support at D is aroHer.
What density of fluids is needed to separate glass, aluminum, and plastics into the three individual components? What specific fluids might be used for this purpose?
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