. Find analytic solutions to the Stoner-Wohlfarth model for 8 = 0 and 9 = x/2....
8. For 0 < < 27. find all solutions of sec r = eser. 14. Given a right triangle with sides a and b and hypotenuse c. 20. Find b and c 1 sin B and a = 2 B! tan A 100 and 6 = 100. Find a and c. C. cos B = 5 13 and a = 20. Find b and c. 15. Find two values of a between 0 and 2 such that tanx = V3....
Please help elaborate the given solutions for the following problem Solutions: over the interval (0, 2). A given set of functions, фп(1), is s a) Show that these functions forrm 2.5.3 A given set of functions, o.t%m a 2.5.3 the interval (O, D). Is the set t over an orthonormal set? b) Re 2t over the interval (0, 1) using this set of orthog. present the given signal f() c Sketchfa) and the representation of ft) on the same graph...
Partial Differential Equation - Wave equation : Vibrating spring Question 2 A plucked string, Figure 2 shows the initial position function f (x) for a stretched string (of length L) that is set in motion by moving t at midpoint x =-aside the distance-bL and releasing it from rest timet- 0. f (x) bL Figure 2 (a) If the length of string is 10cm with amplitude 5cm was set initially, state the initial condition and the boundary conditions for the...
where M=7 322-M2 4) Find the inverse - transform of F(z) = (2-1)(2-2M)' (15 marks) 0 t<-M/2 M <t< - 5) Show that the Fourier transform of function f(t) sin 7 s (10 marks) au 6) Show that u = ln(x2 + xy + y2) satisfies the partial differential equation x x ди +y 2. (7 marks) au 7) Solve the partial differential equation = e-cos(x) where at du x = 0, at =tet ax at and t = 0,...
Find the response X1 (t) and X2 (t) please don't skip steps. se is given by Eq. (E.9) of Example 5.1: 3k (2 (E.8) Comparison of Eqs. (E. 1) and (E.8) shows that the motion of the system coincides with the sec- ond normal mode only if X1-0. This implies that (from Eq. E.2) h(0)=-x2(0) X1(0)=-x2(0) and (E.9) Free-Vibration Response of a Two-Degree-of-Freedom System 5.3 Find the free-vibration response of the system shown in Fig. 5.5(a) with k1 30, k2...
Consider the steady temperature T (2,y) in a rectangular plate that occupies 0 <<< 9 and 0 <y<5, which is heated at constant temperature 150 at 9 and 0 along its other three sides. (a) For separation solutions T(1,y) = F(x)G(y), you are given that admissible F(1) are the eigenfunctions Fn (1) = sinh(An I) for n=1,2,... and G(y) are the eigenfunctions Gn(y) = sin(Any) for n=1,2,... A for In = (b) The solution is the superposition T(z,y) = an...
on [0, 2T). sin x 2 2 cos2 Find all solutions to 1 _ Enter the answer in terms of T, as needed. Do not enter a decimal approxima Click here to open instructions for entering a. This question accepts lists of numbers or formulas separated by semicolons. E.g. "2; 4; 6" or "x+1; x-1". The order of the list doesnt matter but be sure to separate the terms with semicolo
use variation of parameters and substituion to find solutions to word problems use technique decribed on page please complete questions circled in the page Spring : m = k(T-T,n) RLC current : Lan-R di dVc dt 6. F gram mass on a spring with spring constant k 10 N/m, and resistance of 8 times the velocity, suppose there is an applied force of f(t) - 32sin(t) N. (a) Solve for the position of the spring (t) if is initially at...
Given the network in fig., find v(t) for t>0. 2 A 1 H 4Ω 6 A 1Ω 0.03 F v (t) = cos sin
Question 8 please 5. We start with Schrodinger's Equation in 2(x,t) = H¥(x,t). We can write the time derivative as 2.4(x, t) = V(x,+) - (xt), where At is a sufficiently small increment of time. Plug the algebraic form of the derivative into Schrodinger's Eq. and solve for '(x,t+At). b. Put your answer in the form (x,t+At) = T '(x,t). c. What physically does the operator T do to the function '(x,t)? d. Deduce an expression for '(x,t+24t), in terms...