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4.1.1. Suppose the ends of a bar of length l and therrnal diffusivity γ = 1 are held fixed at res...
The ends of a metal rod of length L = 100 cm and thermal diffusivity a...
The ends of a metal rod of length L = 100 cm and thermal diffusivity a = 1 are subjected to temperatures of 0 °C, that is to say T (0, t) = T (L, t) = 0 °C. Knowing that the temperature distribution at t = 0, is T(x,0) = 100 sin (2 x) – 50(34x). Note that the maximum temperature of the rod is in the center of the rod and it is equal to 150 °C. a)...
Consider an elastic string of length L whose ends are held fixed. The string is set in motion fro...
Answer needed in form summation from n=1 to infinity:
Consider an elastic string of length L whose ends are held fixed. The string is set in motion from its equilibrium position with an initial velocity ut(x, 0) = g(x). Let L-12 and a = 1 in parts (b) and (c). (A computer algebra system is recommended.) 8x 2 (a) Find the displacement u(x, t) for the given g(x). (Use a to represent an arbitrary constant.)
Consider an elastic string of...
Consider an elastic string of length L whose ends are held fixed. The string is set...
Consider an elastic string of length L whose ends are held fixed. The string is set in motion from its equilibrium position with an initial velocity wx,0) - parts (b) and (c). (A computer algebra system is recommended.) x). Let L = 18 and 2 = 1 in g(x) = (a) Find the displacement u(x, t) for the given [x). (Use a to represent an arbitrary constant.) Ux. 1) - ECO , (h) Plot uix, t) versus x for OS...
1. The ends of a uniform bar AB with length l= 36.0 in and weight W...
1. The ends of a uniform bar AB with length l= 36.0 in and weight W = 30.0 lb are attached to collars of negligible weight that slide without friction along fixed bars. A vertical force P is applied to collar B. The bar is initially at rest in the position shown and the initial angular acceleration of A is 40.0 ft/s to the left, aA = – 40 ft/s i. o= 30° {= 36 in O Draw a free...
(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...
Consider a uniform bar of length L having an initial temperature distribution given by f(x), 0...
Consider a uniform bar of length L having an initial temperature distribution given by f(x), 0 < x < L. Assume that the temperature at the end x=0 is held at 0°C, while the end x=L is thermally insulated. Heat is lost from the lateral surface of the bar into a surrounding medium. The temperature u(x, t) satisfies the following partial differential equation and boundary conditions aluxx – Bu = Ut, 0<x<l, t> 0 u(0,t) = 0, uz (L, t)...
2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 1...
2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 10. (Suggestion: First solve the differential equation using anti-differentiation.) Does the answer to this question depend on the initial condition L(0)? (b) Determine L(t) if L(0)=2 2. Continued (c) Find the approximate change in length of...
Chose the correct answer(s) from the multiple choice lists below 1. Exergy of a system is a) b) always increasing e) guided by the first and second laws of thermodynamics for reversible proce...
Chose the correct answer(s) from the multiple choice lists below 1. Exergy of a system is a) b) always increasing e) guided by the first and second laws of thermodynamics for reversible processes only Un d) limited by the second law of thermodynamics for all processes. processes, it is destroyed partly or completely). e) equal to the Gibs free energy of the system. 211two electrodes, one made of u (E.-3.06 V) and another made of Cu ΟΕ.+034V placed in an...
e. 18 Test Your Knowledge MULTIPLE CHOICE: Choose the one best answer. 1. Each element has...
e. 18 Test Your Knowledge MULTIPLE CHOICE: Choose the one best answer. 1. Each element has its own characteristic atom in which a. the atomic mass is constant. b. the atomic number is constant. c. the mass number is constant. d. Two of the above are correct. e. All of the above are correct. 2. Which of the following is not a trace element in the human body? a. iodine b. zinc c. iron d. calcium e. fluorine 3. A...
summatize the following info and break them into differeng key points. write them in yojr own...
summatize the following info and break them into differeng key points. write them in yojr own words
apartus
6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...
The ends of a metal rod of length L = 100 cm and thermal diffusivity a = 1 are subjected to temperatures of 0 °C, that is to say T (0, t) = T (L, t) = 0 °C. Knowing that the temperature distribution at t = 0, is T(x,0) = 100 sin (2 x) – 50(34x). Note that the maximum temperature of the rod is in the center of the rod and it is equal to 150 °C. a)...
Answer needed in form summation from n=1 to infinity:
Consider an elastic string of length L whose ends are held fixed. The string is set in motion from its equilibrium position with an initial velocity ut(x, 0) = g(x). Let L-12 and a = 1 in parts (b) and (c). (A computer algebra system is recommended.) 8x 2 (a) Find the displacement u(x, t) for the given g(x). (Use a to represent an arbitrary constant.)
Consider an elastic string of...
Consider an elastic string of length L whose ends are held fixed. The string is set in motion from its equilibrium position with an initial velocity wx,0) - parts (b) and (c). (A computer algebra system is recommended.) x). Let L = 18 and 2 = 1 in g(x) = (a) Find the displacement u(x, t) for the given [x). (Use a to represent an arbitrary constant.) Ux. 1) - ECO , (h) Plot uix, t) versus x for OS...
1. The ends of a uniform bar AB with length l= 36.0 in and weight W = 30.0 lb are attached to collars of negligible weight that slide without friction along fixed bars. A vertical force P is applied to collar B. The bar is initially at rest in the position shown and the initial angular acceleration of A is 40.0 ft/s to the left, aA = – 40 ft/s i. o= 30° {= 36 in O Draw a free...
(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...
Consider a uniform bar of length L having an initial temperature distribution given by f(x), 0 < x < L. Assume that the temperature at the end x=0 is held at 0°C, while the end x=L is thermally insulated. Heat is lost from the lateral surface of the bar into a surrounding medium. The temperature u(x, t) satisfies the following partial differential equation and boundary conditions aluxx – Bu = Ut, 0<x<l, t> 0 u(0,t) = 0, uz (L, t)...
2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 10. (Suggestion: First solve the differential equation using anti-differentiation.) Does the answer to this question depend on the initial condition L(0)? (b) Determine L(t) if L(0)=2 2. Continued (c) Find the approximate change in length of...
Chose the correct answer(s) from the multiple choice lists below 1. Exergy of a system is a) b) always increasing e) guided by the first and second laws of thermodynamics for reversible processes only Un d) limited by the second law of thermodynamics for all processes. processes, it is destroyed partly or completely). e) equal to the Gibs free energy of the system. 211two electrodes, one made of u (E.-3.06 V) and another made of Cu ΟΕ.+034V placed in an...
e. 18 Test Your Knowledge MULTIPLE CHOICE: Choose the one best answer. 1. Each element has its own characteristic atom in which a. the atomic mass is constant. b. the atomic number is constant. c. the mass number is constant. d. Two of the above are correct. e. All of the above are correct. 2. Which of the following is not a trace element in the human body? a. iodine b. zinc c. iron d. calcium e. fluorine 3. A...
summatize the following info and break them into differeng key points. write them in yojr own words
apartus
6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...
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