Suppose that the initial angular displacement and angular velocity are 0(z,0)-2 coes(dz), θ'(z,0)-1 + 3 cos(2x), 0
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where θ(z, t) is the angular displacement (angle of twist) along the shaft z is the distance from supported by fri...
where θ(z, t) is the angular displacement (angle of twist) along the shaft, z is the distance fr supported by fric...
where θ(z, t) is the angular displacement (angle of twist) along the shaft, z is the distance fr supported by frictionless bearings at each end, the boundary conditions are om the end of the shaft and t is time. For a shaft of length 3π that s #2(0,t) ::: 02(3rd) ::: 0, t > 0. Suppose that the initial angular displacement and angular velocity are 0(,0) 2cos(4a), (r.013 cos(22), 0a43, respectively You may use the result that the eigenvalues of...
where (x, t) is the angular displacement (ang le of twist) along the shaft, x is the distance from the end of the shaf...
where (x, t) is the angular displacement (ang le of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 4m that is supported by frictionless bearings at each end, the boundary conditions are t 0. Өx (0, г) — Өx(4л, t) — 0, Suppose that the initial angular displacement and angular velocity are Of(x, 0) = 2 cos(3x) = 6 cos(4x), ex, 0) 0 x< 4...
governed by the wave equation, Torsional vibration of a shaft at2 ax2 where x, t) is the angular displacement (angle of...
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...
(a) You are given that two solutions of the homogeneous Euler-Cauchy equation, da2 are y,-z-6 and y2 2 Confirm the linear independence of your two solutions (for z >0) by computing their Wron...
(a) You are given that two solutions of the homogeneous Euler-Cauchy equation, da2 are y,-z-6 and y2 2 Confirm the linear independence of your two solutions (for z >0) by computing their Wronskian, (b) Use variation of parameters to find a particular solution of the inhomogeneous Euler-Cauchy equation, d r (O) First, enter your expression foru(as defined in lectures) below da 上一题 退出并保存 提交试卷 (b) Use variation of parameters to find a particular solution of the inhomogeneous Euler-Cauchy equation, d...
Torsional vibration of a shaft is governed by the wave equation, = 16 where (x,t) is the angular displacement (angle of...
Torsional vibration of a shaft is governed by the wave equation, = 16 where (x,t) is the angular displacement (angle of twist) along the shaft, ar is the distance from the end of the shaft and t is time. For a shaft of length 2T that supported by frictionless b end, the boundary conditions are 0r(0,t) = 0x(2T, t) = 0, t> 0. Suppose that the initial angular displacement and angular velocity are (x,0) = 6 cos(x), Ot(x,0) =3+2 cos(42),...
Torsional vibration of a shaft is governed by the wave equation, = 4 where ex, ) is the angular displacement (angle...
Torsional vibration of a shaft is governed by the wave equation, = 4 where ex, ) is the angular displacement (angle of twist) along the shaft, x is the distance from the endc the shaft and is time. For a shaft of length 4x that is supported by frictionless bearings at each end, the boundary conditions are Ox(O.t) = 0x(4r, f) = 0, 1>0. Suppose that the initial angular displacement and angular velocity are Ox, 0) = 6 cos(x), 0x,...
0.0/10,0 Torsional vibration of a shaft is governed by the wave equation, 4 where e(z,t) is...
0.0/10,0 Torsional vibration of a shaft is governed by the wave equation, 4 where e(z,t) is the angular displacement (angle of twist) along the shaft, r is the distance from the end of the shaft and t is time. For a by frictionless bearings at each end, the boundary conditions are x(0,)0(2w,t) 0, t> 0. Suppose that the initial angular displacement and angular velocity are (r,0)2 cos (4z), e(z,0) 3+3cos(4r), 0< z < 2x, respectively You may use the result...
Torsional vibration of a shafti govemed by the wave equation a-2 where (z,t) is the angular...
Torsional vibration of a shafti govemed by the wave equation a-2 where (z,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 2 that is supported by frictionless bearings at each end the boundary conditions are r(0.t)-r(2r.t) =0. t>0. Suppose that the initial angular displacement and angular velocity are (,0) cos(3r), 0,(z,0)- 6+6cos(2r), 0<r< 2x, respectively. the eigenvalues of the...
Torsional vibration of a shaft is govened by e wave equation where e(z,t) is the anqular...
Torsional vibration of a shaft is govened by e wave equation where e(z,t) is the anqular 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 that is supported by frictionless bearings at each end, boundary conditions are 0(0,t) 0(4x,t) 0, t> 0. Suppose that the initial angular displacement and angular velocity are e(z,0) 3cos(2r), 0(z,0)= 4+cos(2r), 0<z< 4m, respectively You may use the...
Torsional vibration of a shaft is govened by e wave equation where e(z,t) is the anqular...
Torsional vibration of a shaft is govened by e wave equation where e(z,t) is the anqular 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 that is supported by frictionless bearings at each end, boundary conditions are 0(0,t) 0(4x,t) 0, t> 0. Suppose that the initial angular displacement and angular velocity are e(z,0) 3cos(2r), 0(z,0)= 4+cos(2r), 0<z< 4m, respectively You may use the...
where θ(z, t) is the angular displacement (angle of twist) along the shaft, z is the distance fr supported by frictionless bearings at each end, the boundary conditions are om the end of the shaft and t is time. For a shaft of length 3π that s #2(0,t) ::: 02(3rd) ::: 0, t > 0. Suppose that the initial angular displacement and angular velocity are 0(,0) 2cos(4a), (r.013 cos(22), 0a43, respectively You may use the result that the eigenvalues of...
where (x, t) is the angular displacement (ang le of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 4m that is supported by frictionless bearings at each end, the boundary conditions are t 0. Өx (0, г) — Өx(4л, t) — 0, Suppose that the initial angular displacement and angular velocity are Of(x, 0) = 2 cos(3x) = 6 cos(4x), ex, 0) 0 x< 4...
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...
(a) You are given that two solutions of the homogeneous Euler-Cauchy equation, da2 are y,-z-6 and y2 2 Confirm the linear independence of your two solutions (for z >0) by computing their Wronskian, (b) Use variation of parameters to find a particular solution of the inhomogeneous Euler-Cauchy equation, d r (O) First, enter your expression foru(as defined in lectures) below da 上一题 退出并保存 提交试卷 (b) Use variation of parameters to find a particular solution of the inhomogeneous Euler-Cauchy equation, d...
Torsional vibration of a shaft is governed by the wave equation, = 16 where (x,t) is the angular displacement (angle of twist) along the shaft, ar is the distance from the end of the shaft and t is time. For a shaft of length 2T that supported by frictionless b end, the boundary conditions are 0r(0,t) = 0x(2T, t) = 0, t> 0. Suppose that the initial angular displacement and angular velocity are (x,0) = 6 cos(x), Ot(x,0) =3+2 cos(42),...
Torsional vibration of a shaft is governed by the wave equation, = 4 where ex, ) is the angular displacement (angle of twist) along the shaft, x is the distance from the endc the shaft and is time. For a shaft of length 4x that is supported by frictionless bearings at each end, the boundary conditions are Ox(O.t) = 0x(4r, f) = 0, 1>0. Suppose that the initial angular displacement and angular velocity are Ox, 0) = 6 cos(x), 0x,...
0.0/10,0 Torsional vibration of a shaft is governed by the wave equation, 4 where e(z,t) is the angular displacement (angle of twist) along the shaft, r is the distance from the end of the shaft and t is time. For a by frictionless bearings at each end, the boundary conditions are x(0,)0(2w,t) 0, t> 0. Suppose that the initial angular displacement and angular velocity are (r,0)2 cos (4z), e(z,0) 3+3cos(4r), 0< z < 2x, respectively You may use the result...
Torsional vibration of a shafti govemed by the wave equation a-2 where (z,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 2 that is supported by frictionless bearings at each end the boundary conditions are r(0.t)-r(2r.t) =0. t>0. Suppose that the initial angular displacement and angular velocity are (,0) cos(3r), 0,(z,0)- 6+6cos(2r), 0<r< 2x, respectively. the eigenvalues of the...
Torsional vibration of a shaft is govened by e wave equation where e(z,t) is the anqular 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 that is supported by frictionless bearings at each end, boundary conditions are 0(0,t) 0(4x,t) 0, t> 0. Suppose that the initial angular displacement and angular velocity are e(z,0) 3cos(2r), 0(z,0)= 4+cos(2r), 0<z< 4m, respectively You may use the...
Torsional vibration of a shaft is govened by e wave equation where e(z,t) is the anqular 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 that is supported by frictionless bearings at each end, boundary conditions are 0(0,t) 0(4x,t) 0, t> 0. Suppose that the initial angular displacement and angular velocity are e(z,0) 3cos(2r), 0(z,0)= 4+cos(2r), 0<z< 4m, respectively You may use the...
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