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Energy approch Q + be be be For each of the given mechanical network, you need...
For each of problem (1 to 3); you are required to deduce the D.E. that best...
For each of problem (1 to 3); you are required to deduce the D.E. that best describes the given system K » f(t) Problem 1 C C K C K Problem 2 Input (i) Output (o) X HIC R eo Problem 3 C e Input (i) Output (o) Problem 4 Find the analogy between the parts of problem 2 and problem 3
For each of problem (1 to 3); you are required to deduce the D.E. that best describes the...
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
Solve the question A-1,2,3 & B please. Below is the reference materials. II. Second Order...
Solve the question A-1,2,3 & B please.
Below is the reference materials.
II. Second Order mechanical system (20 points total in two parts A and B) A. (10 points) Repeat exercises A (1 and 2) and B (1 and 2) for 10 points each, employing the "ANALOGOUS“ mechanical systems to those described above electrically. The output to input transfer function in Laplace transform form must be derived. You are free to choose mechanical couplings, by drawing BOTH the mechanical...
For this problem we consider a radiant heat transfer system commonly found in space/room heaters. The input to the plan...
For this problem we consider a radiant heat transfer system commonly found in space/room heaters. The input to the plant is (heat) energy q(Watts) and the output of the system is its temperature (K). The ODE that describes the system is given below Where, 8a is the ambient temperature (27°C), b-91.6 is an input constant, m 0.1 kg is the mass, C 420 J/Kg.K is the specific heat of the heater and a-AEo. A0.25 m2 is the surface area of...
In the Benes network B4 16 inputs are matched with 16 outputs. The network can send each input to...
In the Benes network B4 16 inputs are matched with 16 outputs. The network can send each input to either of two copies of B3 , which will be called the upper and lower copy. To have a congestion of 1 it is essential that any two inputs that differ by exactly 8 go to different copies of B3, and that any two packets with outputs that differ by exactly 8 also go to different copies of B3. Consider the...
ME 351: Problem Set 2: Mechanical Systems For the systems shown below: a. Find the free...
ME 351: Problem Set 2: Mechanical Systems For the systems shown below: a. Find the free body diagram showing all forces (including the initial spring forces). Also label the b. positive direction of all displacements and rotations on the free body diagram. Find the governing differential equation (including the initial spring forces). Express the differential equation in standard form (Output and its derivatives in descending order on the left hand side of the equation, Input and its derivatives in descending...
Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in...
Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in the electric and magnetic fields, respectively, and also makes a useful connection between the energy density of a plane electromagnetic wave and the Poynting vector. In this problem, we explore the properties of a plane electromagnetic wave traveling at the speed of light c along the x axis through vacuum. Its electric and magnetic field vectors are as follows: E = E, sin (kx...
Problem # 1 For each system Derive the differential equation which describes the system. Use Laplace Trans form to...
Problem # 1 For each system Derive the differential equation which describes the system. Use Laplace Trans form to find the Transfer Function. Specify the number of the Poles and Zeros and the value of the Gain. Determine the system's order both based on the Transfer Function and the number of the energy storage elements. Draw the Block Diagram with Input and Output C. Liquid Level System; assume q is the input and h3 is the output ! Ay Ry...
For this problem we consider a radiant heat transfer system commonly found in space/room hoaters. Ihe ipu io the plani...
For this problem we consider a radiant heat transfer system commonly found in space/room hoaters. Ihe ipu io the plani is (hcat) eey q(Wais) and he ouipui of the sysiem is is temperature (K). The ODE that describes the system is given below where, ền is the ambient temperature (27°C), b:91.6 is an input constant, m 0.1 kg is the mass, C-420 J/Kg. K is the specific heat of the heater and a-Acơ. A-0.25 m2 is the surface area of...
Q(1) Given a rope of length n meters, cut the rope in different parts of integer...
Q(1) Given a rope of length n meters, cut the rope in different parts of integer lengths in a way that maximizes product of lengths of all parts. You must make at least one cut. Assume that the length of rope is more than 2 meters Examples: (n-4) Input: rope length is 4 Output: 2*2-4(Maximum obtainable product is 2*2) Input: rope length is 5 Output: 2*3-6 (Maximum obtainable product is 2*3) (n-5) Input: rope length is 10 (n- 10) Output:...
For each of problem (1 to 3); you are required to deduce the D.E. that best describes the given system K » f(t) Problem 1 C C K C K Problem 2 Input (i) Output (o) X HIC R eo Problem 3 C e Input (i) Output (o) Problem 4 Find the analogy between the parts of problem 2 and problem 3
For each of problem (1 to 3); you are required to deduce the D.E. that best describes the...
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
Solve the question A-1,2,3 & B please.
Below is the reference materials.
II. Second Order mechanical system (20 points total in two parts A and B) A. (10 points) Repeat exercises A (1 and 2) and B (1 and 2) for 10 points each, employing the "ANALOGOUS“ mechanical systems to those described above electrically. The output to input transfer function in Laplace transform form must be derived. You are free to choose mechanical couplings, by drawing BOTH the mechanical...
For this problem we consider a radiant heat transfer system commonly found in space/room heaters. The input to the plant is (heat) energy q(Watts) and the output of the system is its temperature (K). The ODE that describes the system is given below Where, 8a is the ambient temperature (27°C), b-91.6 is an input constant, m 0.1 kg is the mass, C 420 J/Kg.K is the specific heat of the heater and a-AEo. A0.25 m2 is the surface area of...
ME 351: Problem Set 2: Mechanical Systems For the systems shown below: a. Find the free body diagram showing all forces (including the initial spring forces). Also label the b. positive direction of all displacements and rotations on the free body diagram. Find the governing differential equation (including the initial spring forces). Express the differential equation in standard form (Output and its derivatives in descending order on the left hand side of the equation, Input and its derivatives in descending...
Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in the electric and magnetic fields, respectively, and also makes a useful connection between the energy density of a plane electromagnetic wave and the Poynting vector. In this problem, we explore the properties of a plane electromagnetic wave traveling at the speed of light c along the x axis through vacuum. Its electric and magnetic field vectors are as follows: E = E, sin (kx...
Problem # 1 For each system Derive the differential equation which describes the system. Use Laplace Trans form to find the Transfer Function. Specify the number of the Poles and Zeros and the value of the Gain. Determine the system's order both based on the Transfer Function and the number of the energy storage elements. Draw the Block Diagram with Input and Output C. Liquid Level System; assume q is the input and h3 is the output ! Ay Ry...
For this problem we consider a radiant heat transfer system commonly found in space/room hoaters. Ihe ipu io the plani is (hcat) eey q(Wais) and he ouipui of the sysiem is is temperature (K). The ODE that describes the system is given below where, ền is the ambient temperature (27°C), b:91.6 is an input constant, m 0.1 kg is the mass, C-420 J/Kg. K is the specific heat of the heater and a-Acơ. A-0.25 m2 is the surface area of...
Q(1) Given a rope of length n meters, cut the rope in different parts of integer lengths in a way that maximizes product of lengths of all parts. You must make at least one cut. Assume that the length of rope is more than 2 meters Examples: (n-4) Input: rope length is 4 Output: 2*2-4(Maximum obtainable product is 2*2) Input: rope length is 5 Output: 2*3-6 (Maximum obtainable product is 2*3) (n-5) Input: rope length is 10 (n- 10) Output:...
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Question 501 pts
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