Find the transform of the given function of s. 1 F(s) = 2s + 16

Q: The function p. = e ($1, $2) gives the position of the end-effector of the following kinematic chain…

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Q: Using the effective component method, determine the linear and angu- lar velocities of point C in…

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Q: Solve for the laplace transform using the formula G(t) = t5 –e-9t + 5(t – 1)²

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Q: The Laplace transform of ft.cos 4t

A: Laplace of cos4t =ss2+16

Q: Two vectors have magnitudes of 10m and 15 m. The angle between them when they are drawn with their…

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Q: х2() B K2 M2 F() MI K1 xl(t)

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Q: For which value of a is the differential equation (₂.² + axy³ )dx + (Ky²x² + 2xy) dy=0 exact

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Q: 2.Using Mason's gain formula obtain C(s)/R(s) for the signal flow graph shown in figl.3.2

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Q: Find the inverse Laplace transform of the given function. 2! F(s) = (s – 6)³ L-'{F(s)} =

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Q: Obtain the Fourier series expansion for the following function 0<x<n f(x) = -n<x< 0

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Q: Consider the system shown in the figure below. If the coefficients a and b are a = 6 and b = 23,…

A: Given details: a=6b=23

Q: What is the value of x after evaluating the following equation given that a= 3 and b =2? x = (a*b >…

A: GIVEN: a=3 b=2 The given expression is  X= (a*b&gt;5)||(a==b) The operation is OR operation,which…

Q: For Numbers 3-5. Solve the Laplace transform of the following using the formula. 3. F(t) = e-2t-5 4.…

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Q: Solve for the laplace transform using the formula. F(t) = e-2t-5

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Q: 3- To mitigate the system oscillation we may add some sort of modification to change the complex…

A: This statement is true.

Q: 3- Find the eigenvalues and eigenvectors of the matrix -4.0 4.0 -1.6 A 1.2

A: To find: The Eigen values and Eigen values of the matrix. Given: The matrix is A=-44-1.61.2. Formula…

Q: Use the inverse transforms of some basic functions to find the given inverse transform. L f(t) =

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Q: Find the orthogonal trajectories of the family of curves r = 3C cos 0, where C being parameter.

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Q: 2. f(t) = cos25t %3D

A: find the laplace transform of the function.

Q: Q-3) Solve the following initial value problem y"+9y = 18t , with y(0)=0 and y'(0)= 6 by the method…

A: The value given is: y"+9y=18t Taking Laplace on both the sides…

Q: Q4: Using Mesh analysis, find the currents loop in the circuit shown below: 7.5 k2 R4 R39.1 kn E," 3…

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Q: When a 3000 N boat is moving at 3 m/s, the motor conks out. How much farther will the boat glide,…

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Q: Solve for the Laplace transform of the function below: f(t) ↑ 1 t 1

A: From the given graph, the function is a straight line passing through points (1,0) and (0,1), when t…

Q: 6.3 Derive the differential equations governing the two degree-of-freedom system shown in Figure…

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Q: The equivalent time function 5 for the given output is s- 4

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Q: Q2: Obtain the transfer function X(s)/F(s) for the system shown in figure (2) where M1=M2=1Kg and…

A: Given, M1=M2=1 kgB=1 N/m/s

Q: Use the Fourier transform to find y(t), a particular solution, in each of the systems shown in…

A: Given figure1

Q: A certain vector in the xy plane has an x component of 4m and ay component of 10m. It is then…

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Q: s+1 The inverse Laplace transform of the function is s3 +s2-6s

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Q: The power series representation of the function centered at the origin is shown below. Find c - b-a.…

A: The power series respresentation is given by the function, 5-x2x2+x-1=∑n=0∞xna(bn)-b(cn) To find,…

Q: Figure(b). Determine the values of a and c from the response curve. c(1)

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Q: which of the following items is not a * path function

A: Path function are those which depend upon end state as well the final path followed by the process .…

Q: 4. The Laplace transform 5 3²+4s+6 can be expressed as L{e¹[qssin(96t) +97cos(* * 1)]}

A: The function is F(s)=5s2+4s+6 The inverse Laplace function formula used is…

Q: State the output Q when A =1 and B = 0

A: For OR operator if any of the input is 1 it gives 1. For Not operator it gives opposite output. e.g.…

Q: Q. 2 Find Laplace Transform of: 1 1 2

A: The given curve represents the function fx. Write the value of the function fx for the domain. fx=x…

Q: Giving that the input to the shown system is f(t) = sin(wt) and the output is the displacement y(t),…

A: Given:

Q: Newton-Euler method and Lagrangian-Euler method will give different equations of motions for the…

A: TRUE  both the methods gives different equation of motions for same manipulator

Q: Use the standard list of Laplace Transform and determine the following: a) L{1+ 2t –t*} 3 b) L{5e2t…

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Q: Use the Laplace transform to solve the given system of differential equations. 3. Derive the system…

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Q: Find the Laplace transform for (a) f(t) = t cosh 2t. (b) f(t) = e-2t cos 2t.

A: The stepwise procedure to solve this Laplace transform is shown in the following attached image:

Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6, 5 , the function has a double sided x-2 limit or one…

A: When RHL EXISTS  and LHL also exists  BUT BOTH ARE NOT EQUAL

Q: 3. For the waveform shown, determine (a) the Fourier series for the function and (b) the sum of…

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Q: 5. Derive the transform equations for the grasping problem shown below

A: Has two linear motions and one rotary motion. Robots can achieve variable motion.Movements : Z - up…

Q: 1 E. Find the inverse Laplace transform for F(s)= S (S (s² – 4)

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Q: Find (i) the characteristic equation and (ii) the eigenvalues and corresponding - 3 5 eigenvectors…

A: Write the characteristic matrix as below: Now take the determinant of the above matrix and equate…

Q: QUESTION 2 Use the inverse transforms of some basic functions to find the given inverse transform.…

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Q: 2- (Initial Value Problem in the Case of a Double Root) Solve the initial value problem y" + y +…

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Q: Find the transform of the given function of s. 3s + 8 F(s) s2+ 8s + 20 (A) f =e 4t (3 cos 2t - 2 sin…

A: The Laplace transform of F(s)=3s+8s2+8s+20 is L-1{3s+8s2+8s+20}=f(t)=e-4t (3 cos 2t - 2 sin 2t).…