mechanical engineering analysis help, please show all work, thanks.
mechanical engineering analysis help, please show all work, thanks. Problem 2. Solve the following 1D wave...
Solve the following 1D wave equation: ?tt (?, ?) = ?xx= (?, t) with the boundary conditions ?(0, ?) = ?x(1, ?) = 0, where ?(?, ?) refers to the twist angle of a uniform rod of unit length.
Problem 2. Solve the following ID wave equation: Ott(x,t) = 0xx(x, t) with the boundary conditions 0(0,t) = 0x(1,t) = 0, where 0(x, t) refers to the twist angle of a uniform rod of unit length. Problem 3. Show that the solution of the partial differential equation (Laplace equation),
mechanical engineering analysis help, please show all work, thanks. Problem 3. Show that the solution of the partial differential equation (Laplace equation), Wxx(x,y) + wyy(x, y) = 0, with the four boundary conditions: w(x,0) = 0, w(x,1) = 0, w(0,y) = 0 and w(1, y) = 24 sin ny, can be obtained as w(x,y) = 2 sinh Tx. sin ny.
Problem 1. Find the general solution of an ID heat equation: Tt(x,t) = 4Txx(x,t) with the boundary conditions T(0,t) = T(2,t) = 0. Note that T(x,t) denotes the temperature profile along x of a uniform rod of length 2. Problem 2. Solve the following ID wave equation: Ott(x,t) = 0xx(x,t) with the boundary conditions 0 (0,t) = 0;(1,t) = 0, where 0(x,t) refers to the twist angle of a uniform rod of unit length. Problem 3. Show that the solution...
Problem 1. Find the general solution of an 1D heat equation: T(x, t) = 4Txx(x, t) with the boundary conditions T(0,t) = T(2,t) = 0. Note that T(x,t) denotes the temperature profile along x of a uniform rod of length 2. Problem 2. Solve the following 1D wave equation: 0ct(x, t) = 0xx(x, t) with the boundary conditions 0(0,t) = 0,(1,t) = 0, where 8(x, t) refers to the twist angle of a uniform rod of unit length. Problem 3....
mechanical engineering analysis help, get from problem to solution, pls show all work, thanks. Problem 1. Find the Fourier series expansion of a half-wave rectified sine wave depicted below. ft) Answer: л f(t) = 1+ 5 sinat - cos 2nt 2 Ecos 4nt -: - cos баt + ... 2 ДІЛ 35 0 2; 3;
mechanical engineering analysis help, get from problem to solution, pls show all work, thanks. Problem 2. Find the Fourier series approximation of the following periodic function f(x), where the first two leading cosine and sine functions must be included. f(x) Angle sum formulas for sine / cosine functions sin(A + B) = sin A cos B + cos A sin B sin(A – B) = sin A cos B – cos A sin B TT cos(A + B) = cos...
DE's: Separation of variables - Please explain working clearly! I have listed all information given in the question. If you are unsure, please don’t answer the question. Torsional vibration of a shaft is governed by the wave equation, 9 where ex, t) is the angular displacement (angle of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 4r that is supported by frictionless bearings at each...
please highlight answer to be inputted thank you Torsional vibration of a shaft is governed by the wave equation, where 0(x,t) is the angular displacement (angle of twist) along the shaft, z is the distance from the end of the shaft and t is time For a shaft of length 3T that is supported by frictionless bearings at each end, the boundary conditions are 0x(0, t) 0 (3m, t) = 0, t > 0. Suppose that the initial angular displacement...
governed by the wave equation, Torsional vibration of a shaft at2 ax2 where x, t) is the angular displacement (angle of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 4T that is supported by frictionless bearings at each end, the boundary conditions are t > 0 ex(0, t) 0x(47, t) = 0, Suppose that the initial angular displacement and angular velocity are e(x,0) = 3...