I. Solve the following problems. 1. The 300-lb block in figure shown rests upon a level plane for which the coefficient of kinetic friction is 0.20. Find the velocity of the block after it moves 85 ft. starting from rest. If the 100-lb force is then removed, how much farther will it travel? 100 lb 30° 300 lb

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

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Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 1. t cos t

A: ft=tcost

Q: Three masses are suspended vertically by a series of identical springs where mass 1 is at the top…

A: Ans Given Now draw the spring mass system asNow from FBD of the mass  we get,

Q: Solve it with Roth table please, I do not understand why when I solve it the third row s^1 is…

A: Given Data: s3-3s2-4s+Ks2+5Ks+6K=0   To Find: Range of K from Routh-Hurwitz criteria.

Q: Problem 2 Consider the two positions provided in the figure. (a) Using the graphical method to…

A: The problem you presented is a mechanical linkage system. Here is the step-by-step solution:Step…

Q: Find the determinant of the matrix by reducing the matrix to a triangular form. 1 3 14 9 1 15 D = -2…

A: given; D=1314391152-211-3423

Q: 1. Solve the following system of equation using Gaussian Elimination. -3x + 2y-6z = 6 5x + 7y – 5z =…

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Q: 10 Find the determinant of MatriIx M using the Laplace Expansion oft Cofactor Method -2 31 M = -5 4…

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Q: Q3/For the network shown in the figure below, write nodal equations. R₂ www 20 Ry R₁' 103 www I 193…

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Q: 10x + 6y + 5z = -7 10x + (16 – k)y +4z = -5 10x + 6y + (9 - k)z = k+ -5

A:

Q: Q4/ Reduce the system shown below by using Masson's method: -H₁ H10 G₂ H₂ -H₁L G3 H3 G₁ -H4 Hs Gs Hs…

A: given system

Q: Q1: Find the Laplace inverse for the function 8 3 F(s) = %3D 3 s2 + 12 ' s² – 49 -

A: 1.  According to the details provided in the question, we need to calculate inverse laplace

Q: DI 3.4-6. Use the graphical method to solve this problem: Minimize Z = 3x¡ + 2x2,

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Q: 4) f(x) = x3 – 2x + 4 at a = 1

A:

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: At a certain instant, a bar 3 m long is moving in a plane horizontal (Plane of the figure). Its end…

A: (a) To find: The speed v' of the end P'. Given: The length of bar l=3 m The velocity of end P is v=1…

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

A: Solution Gauss Seidel method

Q: Tell whether the following functions are linearly dependent or linearly independent using the…

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Q: F will do work on a particle only when the particle undergoes a nt in the direction of the force.…

A: we have to establish the relationship in between force and work

Q: for the following find f (-3.5) Lagrange Polynomials -4 -3.64 1 -3 using

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Q: Q3: Find Req. between points (A&B) in the network in fig.(3). (25 mark) 2√2 $6₁ 4.2² lon 8r Fig.3 A…

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Q: solve using Tip of tail method, parallelogram method, and triangle method

A: We draw the tip tail method, and  parallelogram based on the give two vectors

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

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Q: Suppose the block has a weight of 80 lb and the force F is being supplied by a motor which is…

A: Draw the free-body diagram of the system.

Q: Q4) Use the Simplex method to solve the following problem: Max. Z = 10x₁ + 8x2 Subject to: 30x₁ +…

A: Given

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

A: Find the inverse laplace of the given function.

Q: Solve the following game using the graphical method. Strategy of B Strategy of A BỊ B2 A1 -7+X 6+X…

A: Strategy of A Strategy of B B1 B2 A1 -5 8 A2 9 -2 A3 -2 0 A4 10 -4 Let B play the…

Q: ind the Global Stiffness Matrix for the following Spring Structure. Use your answer to set up…

A: Given data is

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: 0 2. As a traffic engineer, you have been asked to investigate the dynamic response of the road sign…

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Q: EXERCISE 4: Derive the solution of the following mechanisms as a function of 0, using complex number…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: u) Find the net force torque (800) in Figure (1) 8004 2m Saround point 0 O 4m B

A:

Q: Q.2: Use Cramer's rule to solve the linear system of equations; 2x₂ + 5x3 = 1 2x₁ + x₂ + x3 =1 3x₁ +…

A: given0x1+2x2+5x2=12x1+x2+x3=13x1+x2+0x3=2

Q: o. 3 (a) Uy Solve the equation 4uxx + 5uxy + Uyy + Ux + y = 2, also find its canonical form.

A: Step 1: Step 2: Step 3: Step 4:

Q: In the figure, we apply a transformation matrix to box A to obtain box B. (a) Derive the 3 x 3…

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Q: Solve for Fv

A: To find Fv

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.