Consider the two point BVP: -u" + 3u = 1, 0
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- 1) A cylindrical rod of constant shear modulus, G is of length L and located between z=0 and z=L. It has a polar moment of inertia given by J=(Jo)/(1-Z/L) and t=-sin(πZ/2L)where Jo is a constant.The boundary conditions are dΦ(o)/dz =0 AND Φ(L)=0 Find Φ(z) and graph (1/GJo)Φ(Z), and (1/GJo)(dΦ(Z)/dz) ?Three pipes A, B, and C are interconnected as shown in figure 1. The pipe dimensions are as follows: Pipeline D(cm) L (m) ƒA 15 300 0.01B 10 240 0.01C 20 600 0.005 Find the pressure at P?The blood pressure in your heart is 1.52 x104 Pa. If an artery in the brain is 0.421 m above the heart, what is the pressure in the artery?
- Determine homogeneous equation by applying Leibnitz Mclaurin method xy"+y'+2xy=1 show all workingIn certain area in the ocean, its density is 1000 kg/m3, the tidal wavelength of 700 km,wave height of 150m, water depth of 275m and wave period of 8 s. Find the following: d. Wave power over a width 300m.Describe Lagrangian Approach hence show that Lagrangian's equation is given as d/dt dL/dqj - dL/dqj = 0
- using laplace s domainThe astronomical object 4U014 + 61 has the distinction of creating the most powerful magnetic field ever observed.This object is referred to as a “magnetar” (a subclass of pulsars),and its magnetic field is 1.3 * 1015 times greater than the Earth’smagnetic field. (a) Suppose a 2.5-m straight wire carrying a currentof 1.1 A is placed in this magnetic field at an angle of 65° to the field lines. What force does this wire experience? (b) A field thisstrong can significantly change the behavior of an atom. To seethis, consider an electron moving with a speed of 2.2 * 106m>s.Compare the maximum magnetic force exerted on the electronto the electric force a proton exerts on an electron in a hydrogenatom. The radius of the hydrogen atom is 5.29 * 10-11 mZ=18.3 MPa*cm^3*s^-1 Convert Z to kJ*s^-1