Find the equation of motion and the initial conditions for the following system: 1/s 1 s²+55+6 x} X 1

Q: The answer for natural frequency is given below. Obtain the differential equation of motion and…

A: From the similar triangle-δ1l1=δ3l3δ1=l1l3δ3 .....(1)Similarly,δ2l2=δ3l3δ2=l2l3δ3 .....(2)

Q: Q6:Specify the critical path of the following project 30 2 40 30 15 3 20 125 (5) 30

A: To determine the critical path.

Q: Frame {2} is rotated with respect to frame {1} about the x-axis by an angle of 600. the position of…

A: Given data: Angle of rotation = 60 degrees. 1D2 = [9 7 9]T  2P = [4 6 8]T

Q: a) get the equations of motion by drawing the free body diagrams of the given system. b) obtain the…

A: Given data To determine the equation of motion by drawing the free body diagram of the given…

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

A:

Q: Write the mathematical equations for the mechanical system given. Also find the transfer function…

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Q: D.I 4.5-8. Consider the following problem. Maximize Z = 50x1 + 25x2 + 20x3 + 40x4, subject to 2x1 +…

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Q: Look at the system below: Calculate the peak instant of this system.

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Q: For the given 2D element shown in the diagram with positions A = 5 m and B = 5 m, answer the…

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Q: Calculate the solution of the two-degree of freedom system given by: M = 1 K= [ 27 x0) = %3D %3D X…

A: A system with two degrees of freedom requires two coordinates to fully express its equation of…

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

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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…

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Q: y (x2. y2) Spring #2 uL, Fixed Anchor Points (x.) Spring #3 (x3- y3 Spring #1 uL Bilinear Springs…

A: Given : To find : Energy function

Q: C(s) R(s) ± G1 G2 G3 H1 H2

A: It is required to reduce given block diagram

Q: 3. Use Lagrange's equation to derive the equation of the motion of the following: system in matrix…

A: Given,

Q: د الخيارات Consider three vectors A = -i - 2j, B= -2

A: given:A=-i-2jB=-2i-4jC=3k

Q: Q#2\ For the shown system, write the steady- state displacement equation. Giving that; P=Po sin et K…

A:

Q: 4. What is the common matrix equation used in the coupling coordinate solution * m ml, k, +k; kl, -…

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Q: ind the equation of motion using the Lagrangian method?

A: The system is as shown below, VA=Vo+θ˙×rA/OVA=x˙-j^ +θ˙k^×lsinθ i^-cosθ j^…

Q: b Force F(r) k 12 M2

A: At equilibrium Ft=m1y¨1+by˙1+k1y1+k2y1-y2 ....1

Q: Find the taylor series of the function f(x) =1/x

A: Find the taylor series of the function

Q: In circular motion O vr=0 vr=v theta vr=-v theta ar=0

A: find the radial velocity for circular motion.

Q: rint 2k m m

A:

Q: Find the Inverse Laplace transformation for the function:

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Q: For the following system, find the mass matrix [m] and stiffness matrix [k] and write the differential…

A: For mass:m

Q: Determine the Cartesian equation of the locus that satisfies |z – 1| = |z +3 – 2il.

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Q: | | | 2 = 2- = =y

A:

Q: B A Eat Ice Cream h y X W UBC Engineering An advertisement can be modelled as a thin plate with…

A: is angular acceleration .To solve this problem we can use principles of static and…

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: In the following system two masses m are connected by means of a rigid rod of length / and are…

A: The time derivative is included in Lagrange's equation. What is intended here is the derivative…

Q: * Find the equations of motion of the systems if you know: T =mở tan U=In(4) R = Q =0 2 16

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Q: Question 5 F1 = 800 N A 2m Determine total moment on point A 5m 3m F2 = 2000 N %3D

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Q: What is the x coordinate of the centroid, C? (include units with answer) What is the second moment…

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Q: Show that if the following problem has a solution it is unique ôu +c= f in (0, L)× (0,T), -k !! ôt…

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Q: Find the solution set of each of the following equation/inequality. |x9|= 4x + 1 -

A: Given data     | x - 9 | = 4x+1 Find the solution

Q: Question 1 Find the COPR for the system shown in the Figure. H Q1 Q2 Q4 R Q3

A: Given: The heat added to heat engine is Q1. The heat rejected from heat engine is Q2. Concept used:…

Q: State the equation that mathematically represents the system. All in domain X(s) hint: there are 2…

A: Given Data:   To Find: 2 equations of motion of the system.

Q: A rod assembly rotates around the z-axis. The mass C is 10 kg and its initial velocity is 7 m/s. A…

A: Given data as per question Mass of the rod = 10 kg Velocity = 7 m/s Force =60 N M = 8t2+5

Q: 1. Consider the system shown: Determine the differential equation describing the system b. Draw the…

A: Solution: Given Data:

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.