We are designing a system that is critically damped. Consider a spring mass damper design where...
We are designing a system that is critically damped. Consider a spring mass damper design where mass is m=1 kg and the system has to be critically damped. If we want y(t)=te-t as the response, determine the damping constant b and spring constant k. Since it is critically damped, also find the two initial conditions that gives the desired response.
Homework Answers
if you like my solution then
plz rate positively. In case of error plz let me know. I will
correct it ASAP.
Add Answer to:
We are designing a system that is critically damped. Consider a
spring mass damper design where...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
I want matlab code. 585 i1 FIGURE P22.15 22.15 The motion of a damped spring-mass system (Fig. P22.15) is de...
I want matlab code.
585 i1 FIGURE P22.15 22.15 The motion of a damped spring-mass system (Fig. P22.15) is described by the following ordinary differ- ential equation: dx dx in dt2 dt where x displacement from equilibrium position (m), t time (s), m 20-kg mass, and c the damping coefficient (N s/m). The damping coefficient c takes on three values of 5 (underdamped), 40 (critically damped), and 200 (over- damped). The spring constant k-20 N/m. The initial ve- locity is...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a s...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
Answer last four questions 1. A spring-mass-damper system has mass of 150 kg, stiffness of 1500...
Answer last four questions
1. A spring-mass-damper system has mass of 150 kg, stiffness of 1500 N/m and damping coefficient of 200 kg/s. i) Calculate the undamped natural frequency ii) Calculate the damping ratio iii) Calculate the damped natural frequency iv) Is the system overdamped, underdamped or critically damped? v) Does the solution oscillate? The system above is given an initial velocity of 10 mm/s and an initial displacement of -5 mm. vi) Calculate the form of the response and...
Consider a single degree of freedom (SDOF) with mass-spring-damper system
Consider a single degree of freedom (SDOF) with mass-spring-damper system subjected to harmonic excitation having the following characteristics: Mass, m = 850 kg; stiffness, k = 80 kN/m; damping constant, c = 2000 N.s/m, forcing function amplitude, f0 = 5 N; forcing frequency, ωt = 30 rad/s. (a) Calculate the steady-state response of the system and state whether the system is underdamped, critically damped, or overdamped. (b) What happen to the steady-state response when the damping is increased to 18000 N.s/m? (Hint: Determine...
On a ECP Rectilinear Plant (1 DOF system) mass-spring-damper system, I am given the transfer func...
On a ECP Rectilinear Plant (1 DOF system) mass-spring-damper system, I am given the transfer function as: 1/(M*s^2 + B*s + K). With values mass M = 0.67538 kg, friction coefficient B = 1.8951 Ns/M, spring constant K = 322.278 N/M, and Damping coefficient d=2.54821 Ns/m. I know the Open loop system model is: (1/(0.6738s^2 + 1.89515s + 322.278)) = (1.481/(s^2+2.806s+4.772)) Implement a simple controller using only one mass (+spring + damper) so the control is critically damped
On a ECP Rectilinear Plant (1 DOF system) mass-spring-damper system, I am given the transfer function...
On a ECP Rectilinear Plant (1 DOF system) mass-spring-damper system, I am given the transfer function as: 1/(M*s^2 + B*s + K). With values mass M = 0.67538 kg, friction coefficient B = 1.8951 Ns/M, spring constant K = 322.278 N/M, and Damping coefficient d=2.54821 Ns/m. I know the Open loop system model is: (1/(0.6738s^2 + 1.89515s + 322.278)) = (1.481/(s^2+2.806s+4.772)) Implement a simple controller using only one mass (+spring + damper) so the control is critically damped
Solve it with matlab 25.16 The motion of a damped spring-mass system (Fig. P25.16) is described...
Solve it with matlab
25.16 The motion of a damped spring-mass system (Fig. P25.16) is described by the following ordinary differential equation: d’x dx ++ kx = 0 m dr dt where x = displacement from equilibrium position (m), t = time (s), m 20-kg mass, and c = the damping coefficient (N · s/m). The damping coefficient c takes on three values of 5 (under- damped), 40 (critically damped), and 200 (overdamped). The spring constant k = 20 N/m....
Consider the mass-spring-damper system depicted in the figure below, where the input of the system is...
Consider the mass-spring-damper system depicted in the figure below, where the input of the system is the applied force F(t) and the output of the system is xít) that is the displacement of the mass according to the coordinate system defined in that figure. Assume that force F(t) is applied for t> 0 and the system is in static equilibrium before t=0 and z(t) is measured from the static equilibrium. b m F Also, the mass of the block, the...
3.5: Non-homogeneous equations 10. A mass is attached to a spring and damper. We have m...
3.5: Non-homogeneous equations 10. A mass is attached to a spring and damper. We have m = 3, c = 30, k = 63. We also have an initial position z(0) = 2, v(0) = 2. Suppose further that an external force of cos(26) acts on this box. Find the particular solution X(t). Is the system over, under, or critically damped?
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
I want matlab code.
585 i1 FIGURE P22.15 22.15 The motion of a damped spring-mass system (Fig. P22.15) is described by the following ordinary differ- ential equation: dx dx in dt2 dt where x displacement from equilibrium position (m), t time (s), m 20-kg mass, and c the damping coefficient (N s/m). The damping coefficient c takes on three values of 5 (underdamped), 40 (critically damped), and 200 (over- damped). The spring constant k-20 N/m. The initial ve- locity is...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
Answer last four questions
1. A spring-mass-damper system has mass of 150 kg, stiffness of 1500 N/m and damping coefficient of 200 kg/s. i) Calculate the undamped natural frequency ii) Calculate the damping ratio iii) Calculate the damped natural frequency iv) Is the system overdamped, underdamped or critically damped? v) Does the solution oscillate? The system above is given an initial velocity of 10 mm/s and an initial displacement of -5 mm. vi) Calculate the form of the response and...
Solve it with matlab
25.16 The motion of a damped spring-mass system (Fig. P25.16) is described by the following ordinary differential equation: d’x dx ++ kx = 0 m dr dt where x = displacement from equilibrium position (m), t = time (s), m 20-kg mass, and c = the damping coefficient (N · s/m). The damping coefficient c takes on three values of 5 (under- damped), 40 (critically damped), and 200 (overdamped). The spring constant k = 20 N/m....
Consider the mass-spring-damper system depicted in the figure below, where the input of the system is the applied force F(t) and the output of the system is xít) that is the displacement of the mass according to the coordinate system defined in that figure. Assume that force F(t) is applied for t> 0 and the system is in static equilibrium before t=0 and z(t) is measured from the static equilibrium. b m F Also, the mass of the block, the...
3.5: Non-homogeneous equations 10. A mass is attached to a spring and damper. We have m = 3, c = 30, k = 63. We also have an initial position z(0) = 2, v(0) = 2. Suppose further that an external force of cos(26) acts on this box. Find the particular solution X(t). Is the system over, under, or critically damped?
Most questions answered within 3 hours.
-
What is the difference between apoptosis and necrosis?
(b) What is the role of apoptosis in...
asked 4 minutes ago -
A galaxy is a large grouping of stars. Approximately how many
stars are in the Milky...
asked 58 minutes ago -
The Pen, Evan, and Torves Partnership has asked you to assist in
winding-up its business affairs....
asked 1 hour ago -
A) Asha Company completed its inventory count. It arrived at a
total inventory value of
$200,000....
asked 1 hour ago -
When you move a rope up and down, waves are created. If the
waves pass through...
asked 2 hours ago -
QUESTION 52
Which of the following is a direct result of scarcity?
A college student misses...
asked 2 hours ago -
The zero order reaction 2N2O→2N2+O2 has the rate constant k of
7.20×10−3 molL s. If the...
asked 2 hours ago -
When you borrow money to buy a house, a car, or for some other
purpose, you...
asked 2 hours ago -
Write a c program that finds the uncommon elements from two
array elements using pointers
only...
asked 2 hours ago -
SQL help:
Design a database diagram for a database that stores information
about the Downloads that...
asked 3 hours ago -
In 1970s and 1980s, molecular biologists discovered that the
hormone testosterone, binds a receptor protein that...
asked 6 hours ago -
january 1 2010 road catering service purchase a piece of
equipment for 58000 which is expected...
asked 6 hours ago