x(t) K M > At) fy a. Mä+ fx + kx + f(t) = 0 b. Mä + f* + kx = f(1) c. fä+ Mx + kx = 0 d. fä+ Mx + kx = f(t) The differential equation of the system is

Q: The general form of the element stiffness matrix system, with nodes indexed by i and j, is given as,…

A:

Q: 4-If = x*yz, then div grad o is equal to b: 2yz+ 6x yz 2yz'i+ x*zj+ 3x yz' d: zero ażyz'i+ 6x*yzj

A:

Q: ion by graphing. oint (F-16, F+4) is a solution for the system.

A: a k = 6   F =  9 y6≤7x-2                                         -3y>9x--26>0  ⇒y≤42x-12…

Q: Find a general solution to the

A: Find a general solution to given differential equation.

Q: 2. Find the function o(x, y, =) such that Vo =[2xy'+ yz Ji +[3x y +x zlj+[5z*+xy]k

A:

Q: 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the…

A:

Q: Find the general solution for the following differential equation dy (r +3)- dr + (r+ 4)y = x²e-

A:

Q: Convert the following 4th order ODE into a system of four first orde ODES of the form dy/dt f(t,y).…

A:

Q: estion (4): Let f(x) = 2x2 + 1. Use the limit definition of the derivative to find f'(x).

A:

Q: HW # 2-3 : Consider the following inverted pendulum. a) Obtain the differential equation describing…

A:

Q: Approximate solution of the initial value problem up to 3rd order using the Taylor series method.…

A:

Q: 4) f(x) = x3 – 2x + 4 at a = 1

A:

Q: 1. write the transfer function of the differential equation. day 2dy² 3dy 3dx 3 I + + dt4 dt2 dt a.-…

A: Given: Differential equation: d4ydt4+2d2ydt2+3dydt+4y=3d3xdt3+4x

Q: Solve the following differential equations: Homework 1-y² (a) cos 4x +1 y -dy 0 sin 2x (b) x'y'…

A:

Q: Question 4- An intravenous infusion system delivers fluids, such as nutrients and medications, into…

A: Given: VdC˙=Qt-KsCt To find: Transfer function CsQs Step response with amplitude 2

Q: of a mechanical system is given below. m₂ O X₁ k+k₂ k₂² O + ENER 0 m₂ X₂₁ FU) -k₂ k₂ N m₁ = 40 kg /…

A: Given : To find : Natural frequency

Q: Q3: Solve the following system of equations by Gauss Jordan or Gauss seidel me

A: Solution Gauss Seidel method

Q: Q4) Consider a mechanical system that satisfies the following differential equation:…

A:

Q: An ant crawling on a path (x-2)² + y? = 4. At point P(4,0), an ant has constant speed 1.57 m/s.…

A:

Q: Exercise 3. Calculate the solution of the following system: 1 6. *(t) + 27 -3 x(0) = *(0)= 0 3 ; x(…

A:

Q: Use Lecture 3 to show that function u defined by u(x,t)= e" sin x is the unique solution of 1 du = 0…

A:

Q: C(s) R(s) ± G1 G2 G3 H1 H2

A: It is required to reduce given block diagram

Q: ÿ + 3y + 4y - 3Ż - 4Z = 0 Ż +52 +6Z - 5ý - 6y = f(t) * = AX + Bū y = Cx+ Du Put these equations into…

A: Given,

Q: D,I 3.4-5. Use the graphical method to solve this problem: Minimize Z = 15x, + 20x,, subject to X +…

A:

Q: Problem 1 Show that if the following problem has a solution it is unique -k = f in (0,L)× (0,T), (1)…

A:

Q: Q2: Let z = ry, x = t2, y = t. Calculate by (a) the chain rule, (b) expressing z as a function ot…

A:

Q: Two cables AB and AC are acting on the pole with forces FAB 540N and FAC=560N with parameters…

A: Given: AB = 540 N coordinates are written in vector form and unit vector is found.

Q: [3-3 5 -4 [3 0 6 -3 X2Sin ut 6 Determine the steady-state resse et the System given above.

A:

Q: 4- If p = y + xz , then curl grad o is equal to: a: - 2j b: 25 e: 2 d: zero 5. We can ohtain the…

A:

Q: s2 + 2s o) F(s) Find inverse s4 laplace transform

A: Find the inverse laplace of the given function.

Q: Pendulum A pendulum swings back and forth. The angular displacement u of the pen-dulum from its rest…

A: The function value is not clear. We consider it as  U=5×20×cos 3pt(U)=(100×cos 3pt)

Q: rint 2k m m

A:

Q: Consider the following model of a mechanical system: The system has a mass m, a linear spring with…

A: To findFind the ODE describing the motion of the system by drawing a free-body diagram and applying…

Q: (Z): 2X + 3Y :X + 2Y ≤ 300 5X + Y ≥ 150 4Y = 120 X. Y> 0

A:

Q: The system is given in the following figure. Determine the mathematical model, linearizes the…

A: Solution: Given Data:

Q: D 3.4-5. Consider the following problem, where the value of c has not yet been ascertained. Maximize…

A: Givenmaximize Z=c1x1+2x24x1+x2≤12x1-x2≥2andx1≥0  , x2≥0

Q: Equation of motion of a suspension system is given as: Mä(t) + Cx(t) + ax²(t) + bx(t) = F(t), where…

A: Given Data Equation of motion of a suspension system is:Mx¨(t)+Cx˙(t)+ax2(t)+bx(t)=F(t) Spring…

Thermodynamic Relations

Thermodynamics is the division of physics that deals with the transfer of any kind of energy, whether it be heat, temperature, or work, from one object to another.