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Two rotors are connected by a shaft as shown. (a) Derive an expression for the Laplace...
Tutorial Exercise Use the Laplace transform to solve the given initial-value problem. y' + 5y =...
Tutorial Exercise Use the Laplace transform to solve the given initial-value problem. y' + 5y = et (0) = 2 Step 1 To use the Laplace transform to solve the given initial value problem, we first take the transform of each member of the differential equation + 6y et The strategy is that the new equation can be solved for ty) algebraically. Once solved, transforming back to an equation for gives the solution we need to the original differential equation....
4. Suppose two identical pendulums are coupled by means of a spring with constant k. See...
4. Suppose two identical pendulums are coupled by means of a spring with constant k. See the figure. When the displacement angles 01(t) and 02(t) are small the system of linear differential equations describing the motion is k (01 02) + m k (002) 02+02 m Use the Laplace transform to solve the system when the initial conditions are 01(0) - 00,0{(0) = 0,02(0) = -0,02 (0) = 0. Can you discuss the motion for this case? NNWNANNNNA m
4....
A two-story building is modeled as shown in the figure. The columns have an identical rigidity...
A two-story building is modeled as shown in the figure. The columns have an identical rigidity k1 = k2 = 3 and the masses of the two stages are also identical m1 = m2 = 1
Assuming that a wind load F(t) = sin(t) is applied to each floor (Do not take into account the effect of the weights masses in the static state)
a) Write the two differential equations of each of the masses m1 and m2.
b) Assuming...
1. Starting with one of Newton's laws and your free body diagram, derive an expression for...
1. Starting with one of Newton's laws and your free body
diagram, derive an expression for the normal force exerted on the
block by floor.
- Assess you answer in the following way: If you
let \(\theta\) = 0, what does your
solution predict for the normal force? Does this make physical
sense?
2. Starting with one of Newton's laws and your free body
diagram, derive an expression for the coefficient of kinetic
friction \(\mu_{k}\) between the
block and the...
Question 7: Solve the entire problem using Laplace Transforms. Recall the DE for our two-vessel water clock ах - Ax, wh...
Question 7: Solve the entire problem using Laplace Transforms. Recall the DE for our two-vessel water clock ах - Ax, where A dt k(0)= DE IC: -1] Let X(s) denote the Laplace transform of x(t). Then x(s) = (sl-A)-1 (0) There is no forcing term, so this is just the zero-input or homogeneous solution. Solve for X(s) and record your answer in the answer template. The first component has been given for you Question 7: The solution in the transform...
MAE 3724 Systems Analysis Pre-Lab for Experiment 6 Electroacoustic System /Speaker Complete this ...
please solve question 5-6 and clearly mark correct
answers and steps. thanks
MAE 3724 Systems Analysis Pre-Lab for Experiment 6 Electroacoustic System /Speaker Complete this Pre-Lab BEFORE you come to the laboratory. The Lab Instructor will answer questions and provide feedback when you come to the laboratory to do the experiment. Show all your work and final answers on these pages. Attach the requested graphs. Background for Laboratory Experiment 6 In Experiment 6, you will study the dynamic behavior of...
3) RLC Parallel Circu its: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 CL1 R1 0.15H C1 2E-8F 1 10E-3 2 J...
3) RLC Parallel Circu its: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 CL1 R1 0.15H C1 2E-8F 1 10E-3 2 J 10E-3 Att-0, U1 closes and U2 opens. 3.1: What is the intial (t-0+) current through the capacitor? What is the inital (t-0+) voltage across the capacitor? 3.2: What is the DC steady state current though the capacitor as t goes to infinity? 3.3: Find the current through the CAPACITOR as a function of time for R...
Assignment:-GCA-CH07A work-KE Theory Pg12 SCALE-UP Table: Station: A block of mass M is launched up a...
Assignment:-GCA-CH07A work-KE Theory Pg12 SCALE-UP Table: Station: A block of mass M is launched up a rough plane that makes an angle θ with the horizontal by placing (not attached) it against a massless spring compressed by a distance d and releasing it from rest (see "Initial stage" in the figure at right). The block slides a distance L (>d) up the plane and comes off the plane with an unknown speed v (see "Final stage" in the figure at...
(7 10 Two connected tanks, each with a capacity of 60 liters, contain brine (salt water) Initially the firs tank contains 40 liters and the second tank contains 30 liers. Brine with a salt conccntrat...
(7 10 Two connected tanks, each with a capacity of 60 liters, contain brine (salt water) Initially the firs tank contains 40 liters and the second tank contains 30 liers. Brine with a salt conccntration of 1 grams per litcr flows into the first tank at S litcrs per hour. Well-stirred brine flows from the first tank into the second at 7 liters per hour from the second nto the fist at3 lters per honr, from the first into a...
Show all your work and final answers on these pages. Attach the requested graphs. Background for ...
solve questions 4,5,6 please. thanks
Show all your work and final answers on these pages. Attach the requested graphs. Background for Laboratory Experiment 6 In Experiment 6, you will study the dynamic behavior of an electroacoustic system (or speaker). The background for this Pre-Lab is in Section 6.7.5 in the textbook. A physical model of the electroacoustic system is shown in the figure below. Speaker enclosure Magnet The motion of the center of the speaker cone is x. The motion...
Tutorial Exercise Use the Laplace transform to solve the given initial-value problem. y' + 5y = et (0) = 2 Step 1 To use the Laplace transform to solve the given initial value problem, we first take the transform of each member of the differential equation + 6y et The strategy is that the new equation can be solved for ty) algebraically. Once solved, transforming back to an equation for gives the solution we need to the original differential equation....
4. Suppose two identical pendulums are coupled by means of a spring with constant k. See the figure. When the displacement angles 01(t) and 02(t) are small the system of linear differential equations describing the motion is k (01 02) + m k (002) 02+02 m Use the Laplace transform to solve the system when the initial conditions are 01(0) - 00,0{(0) = 0,02(0) = -0,02 (0) = 0. Can you discuss the motion for this case? NNWNANNNNA m
4....
A two-story building is modeled as shown in the figure. The columns have an identical rigidity k1 = k2 = 3 and the masses of the two stages are also identical m1 = m2 = 1
Assuming that a wind load F(t) = sin(t) is applied to each floor (Do not take into account the effect of the weights masses in the static state)
a) Write the two differential equations of each of the masses m1 and m2.
b) Assuming...
1. Starting with one of Newton's laws and your free body
diagram, derive an expression for the normal force exerted on the
block by floor.
- Assess you answer in the following way: If you
let \(\theta\) = 0, what does your
solution predict for the normal force? Does this make physical
sense?
2. Starting with one of Newton's laws and your free body
diagram, derive an expression for the coefficient of kinetic
friction \(\mu_{k}\) between the
block and the...
Question 7: Solve the entire problem using Laplace Transforms. Recall the DE for our two-vessel water clock ах - Ax, where A dt k(0)= DE IC: -1] Let X(s) denote the Laplace transform of x(t). Then x(s) = (sl-A)-1 (0) There is no forcing term, so this is just the zero-input or homogeneous solution. Solve for X(s) and record your answer in the answer template. The first component has been given for you Question 7: The solution in the transform...
please solve question 5-6 and clearly mark correct
answers and steps. thanks
MAE 3724 Systems Analysis Pre-Lab for Experiment 6 Electroacoustic System /Speaker Complete this Pre-Lab BEFORE you come to the laboratory. The Lab Instructor will answer questions and provide feedback when you come to the laboratory to do the experiment. Show all your work and final answers on these pages. Attach the requested graphs. Background for Laboratory Experiment 6 In Experiment 6, you will study the dynamic behavior of...
3) RLC Parallel Circu its: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 CL1 R1 0.15H C1 2E-8F 1 10E-3 2 J 10E-3 Att-0, U1 closes and U2 opens. 3.1: What is the intial (t-0+) current through the capacitor? What is the inital (t-0+) voltage across the capacitor? 3.2: What is the DC steady state current though the capacitor as t goes to infinity? 3.3: Find the current through the CAPACITOR as a function of time for R...
Assignment:-GCA-CH07A work-KE Theory Pg12 SCALE-UP Table: Station: A block of mass M is launched up a rough plane that makes an angle θ with the horizontal by placing (not attached) it against a massless spring compressed by a distance d and releasing it from rest (see "Initial stage" in the figure at right). The block slides a distance L (>d) up the plane and comes off the plane with an unknown speed v (see "Final stage" in the figure at...
(7 10 Two connected tanks, each with a capacity of 60 liters, contain brine (salt water) Initially the firs tank contains 40 liters and the second tank contains 30 liers. Brine with a salt conccntration of 1 grams per litcr flows into the first tank at S litcrs per hour. Well-stirred brine flows from the first tank into the second at 7 liters per hour from the second nto the fist at3 lters per honr, from the first into a...
solve questions 4,5,6 please. thanks
Show all your work and final answers on these pages. Attach the requested graphs. Background for Laboratory Experiment 6 In Experiment 6, you will study the dynamic behavior of an electroacoustic system (or speaker). The background for this Pre-Lab is in Section 6.7.5 in the textbook. A physical model of the electroacoustic system is shown in the figure below. Speaker enclosure Magnet The motion of the center of the speaker cone is x. The motion...
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