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- A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).Use De Moivrés theorem to determine the modulii and the arguments of (9 - j3)^(1/3) Give your answers in Polar and Cartesian Form. Use an Argand diagram to show the roots of the equation (no need to make it to scale)Solve the following first order differential equations: dy/dx+ytanx=y^3sec^4x
- Answers (a) er=15.30-250.2/r^2 , etheta=15.30+250.2/r^2 (b) delta c = 8.12x10^-4 inI am using eq 3.117 in Shigley's 10ed: m*x-double dot+b*x-dot+k*x=(1/2)C_x*(e_c)^2 Since x-double dot=X-dot=0, equations becomes: k*x=(1/2)C_x*(e_c)^2 then plug in eq 3.110, C_x=(n*E_0*w)/d Then solve for x. Does this look correct?h = 0.25 solve for the differential equation y (1) h take and calculate approximately with Euler's method.
- Plz answer this engineer math question ASAP,and used parameter equation,thx find the derivative directed f at point P in the direction of a= f= XY+YZ+25 P(-2,4,7) a=(-i+j+5k)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) ?A car wheel with a radius r=0.40 meters rotates at 8 rad/sec. Find the distance travelled in 50 seconds.
- Determine homogeneous equation by applying Leibnitz Mclaurin method xy"+y'+2xy=1 show all workingA battery harnesses a chemical reaction to extract energy in the form of useful electrical work. (a) A certain battery runs a toy truck and becomes par- tially discharged. In the process, it performs a total of 117.0 J of work on its immediate surroundings. It also gives off 3.0 J of heat, which the surroundings absorb. No other work or heat is exchanged with the sur- roundings. Compute q, w, and AU of the battery, making sure each quantity has the proper sign.Find the particular solution of the following differential equation: 100 V' = 200 - 10 V where V is the dependent and t is independent. Given that when t= 0 , V = 0. Find V at 2 seconds.