How does c^2 = 3 affect this?Homework Answers
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Here value of c affect the period of oscillation of solution w.r.t time...
Change the value of c ,oscillation period w.r.t time changes...
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How does c^2 = 3 affect this?
= 3 Consider a tight string of length 2,...
(a) Consider an elastic string of length 10 whose ends are held fixed. The string is...
(a) Consider an elastic string of length 10 whose ends are held fixed. The string is set in motion with no initial velocity from an initial postion J2/4 0<x<8 u(x,0) = { 0 8 << 10 Assuming the string is elastic enough to assume this initial configuration, i. Find the Fourier sine series for f (extended as an odd periodic function of period 20). ii. Assuming the propagation speed a = 2 solve the wave equation to find the displacement...
(The wave equation) Consider a string with fixed zero ends of length L with speed parameter...
(The wave equation) Consider a string with fixed zero ends of length L with speed parameter c, with initial position -X u(x,0) = x € (0, L/2] c [L/2, L] C L and zero initial velocity. (a) Find the normal modes of the solution and specify the spatial and temporal frequencies for each. (You do not need to derive the general solution to the wave equation with fixed ends.) (b) Describe how the tension Th, density p and length L...
(a) A string of length L is stretched and fastened to two fixed points. The displacement of the string is given as S...
(a) A string of length L is stretched and fastened to two fixed points. The displacement of the string is given as Satu tali dengan panjang L diregang dan ditetapkan kedudukannya pada dua titik tetap. Sesaran tali diberikan sebagai u (x, 0) = The string is released with zero velocity. By applying the equation 02 with c2 1 and using the separation of variable method, a c2 at2 determine the subsequent motion u(x, t). Tali dilepaskan pada halaju sifar. Dengan...
A uniform string of length L = 1 is described by the one-dimensional wave equation au...
A uniform string of length L = 1 is described by the one-dimensional wave equation au dt2 dx where u(x,t) is the displacement. At the initial moment t = 0, the displacement is u(x,0) = sin(Tt x), and the velocity of the string is zero. (Here n = 3.14159.) Find the displacement of the string at point x = 1/2 at time t = 2.7.
show steps please! (1 point) u(x, t represents the vertical displacement of a string of length...
show steps please!
(1 point) u(x, t represents the vertical displacement of a string of length L = 20 with wave equation 16. time t = Utt at position x along the string and at Find u(x, t) if a. the initial velocity of the string is 0 and the rightmost position is held at a vertical displacement of 1 and released b. the initial velocity is a constant -5 and the vertical displacement is 0 c. the initial velocity...
u(x, t) represents the vertical displacement of a string of length L = 16 with wave...
u(x, t) represents the vertical displacement of a string of length L = 16 with wave equation 25uxx = uft at position x along the string and at time t Find u(x, t) if a. the initial velocity of the string is 0 and the rightmost position b. the initial velocity is a constant 5 and the vertical displacement is 0. c. the initial velocity is a constant 5 and the rightmost position is held at a vertical displacement of...
Problem 2 (10 points). Consider the wave equation for a vibrating string of infinite length with the initial conditions where the initial displacement f(x) is specified as 0, if 21 Determine the...
Problem 2 (10 points). Consider the wave equation for a vibrating string of infinite length with the initial conditions where the initial displacement f(x) is specified as 0, if 21 Determine the expression of the function u(, 0.5) that represents the spatial profle of the string at timet 0.5. Provide the graph of this function
Problem 2 (10 points). Consider the wave equation for a vibrating string of infinite length with the initial conditions where the initial displacement f(x) is...
QUESTION 3 (2 + 2 + 2 - 6 marks) A string of length 3 m...
QUESTION 3 (2 + 2 + 2 - 6 marks) A string of length 3 m and total mass of 12 g is under a tension of 160 N. A transverse harmonic wave with wavelength 2 = 25.0 cm and amplitude A = 2.0 cm travels to the right along the string. It is observed that the displacement at x = 0 and 1 0 is 0.87 cm. (a) Determine the speed of the wave. (b) Calculate the angular frequency...
2. (a) A string of length i is stretched and fastened to two fixed points. The displacement of the string is given...
2. (a) A string of length i is stretched and fastened to two fixed points. The displacement of the string is given as Satu tat dengan panjang L diregang den ditetapkan kedudukannys pade due tithk tetap Seseren teli diberikan sebagai u(x, 0) = The string is released with zero velocity. By applying the equation a with c-1 and using the separation of variable method. determine the subsequent motion u(x, t). Tali dilepaskan pade haleju sifar. Dengan menggunakan persamasan ー=inu dengan...
pls help 3. Solve the wave equation for a string of length π for initial conditions...
pls help
3. Solve the wave equation for a string of length π for initial conditions u(z,0-2(x-7), boundary conditions u (0, t)-0 u(n, t). (x,0)-0 and
(a) Consider an elastic string of length 10 whose ends are held fixed. The string is set in motion with no initial velocity from an initial postion J2/4 0<x<8 u(x,0) = { 0 8 << 10 Assuming the string is elastic enough to assume this initial configuration, i. Find the Fourier sine series for f (extended as an odd periodic function of period 20). ii. Assuming the propagation speed a = 2 solve the wave equation to find the displacement...
(The wave equation) Consider a string with fixed zero ends of length L with speed parameter c, with initial position -X u(x,0) = x € (0, L/2] c [L/2, L] C L and zero initial velocity. (a) Find the normal modes of the solution and specify the spatial and temporal frequencies for each. (You do not need to derive the general solution to the wave equation with fixed ends.) (b) Describe how the tension Th, density p and length L...
(a) A string of length L is stretched and fastened to two fixed points. The displacement of the string is given as Satu tali dengan panjang L diregang dan ditetapkan kedudukannya pada dua titik tetap. Sesaran tali diberikan sebagai u (x, 0) = The string is released with zero velocity. By applying the equation 02 with c2 1 and using the separation of variable method, a c2 at2 determine the subsequent motion u(x, t). Tali dilepaskan pada halaju sifar. Dengan...
A uniform string of length L = 1 is described by the one-dimensional wave equation au dt2 dx where u(x,t) is the displacement. At the initial moment t = 0, the displacement is u(x,0) = sin(Tt x), and the velocity of the string is zero. (Here n = 3.14159.) Find the displacement of the string at point x = 1/2 at time t = 2.7.
show steps please!
(1 point) u(x, t represents the vertical displacement of a string of length L = 20 with wave equation 16. time t = Utt at position x along the string and at Find u(x, t) if a. the initial velocity of the string is 0 and the rightmost position is held at a vertical displacement of 1 and released b. the initial velocity is a constant -5 and the vertical displacement is 0 c. the initial velocity...
u(x, t) represents the vertical displacement of a string of length L = 16 with wave equation 25uxx = uft at position x along the string and at time t Find u(x, t) if a. the initial velocity of the string is 0 and the rightmost position b. the initial velocity is a constant 5 and the vertical displacement is 0. c. the initial velocity is a constant 5 and the rightmost position is held at a vertical displacement of...
Problem 2 (10 points). Consider the wave equation for a vibrating string of infinite length with the initial conditions where the initial displacement f(x) is specified as 0, if 21 Determine the expression of the function u(, 0.5) that represents the spatial profle of the string at timet 0.5. Provide the graph of this function
Problem 2 (10 points). Consider the wave equation for a vibrating string of infinite length with the initial conditions where the initial displacement f(x) is...
QUESTION 3 (2 + 2 + 2 - 6 marks) A string of length 3 m and total mass of 12 g is under a tension of 160 N. A transverse harmonic wave with wavelength 2 = 25.0 cm and amplitude A = 2.0 cm travels to the right along the string. It is observed that the displacement at x = 0 and 1 0 is 0.87 cm. (a) Determine the speed of the wave. (b) Calculate the angular frequency...
2. (a) A string of length i is stretched and fastened to two fixed points. The displacement of the string is given as Satu tat dengan panjang L diregang den ditetapkan kedudukannys pade due tithk tetap Seseren teli diberikan sebagai u(x, 0) = The string is released with zero velocity. By applying the equation a with c-1 and using the separation of variable method. determine the subsequent motion u(x, t). Tali dilepaskan pade haleju sifar. Dengan menggunakan persamasan ー=inu dengan...
pls help
3. Solve the wave equation for a string of length π for initial conditions u(z,0-2(x-7), boundary conditions u (0, t)-0 u(n, t). (x,0)-0 and
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