Homework Answers
Add Answer to:
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 s...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mi+ci +kx- Asin(ot) 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 un-damped natural frequency on a. and the
A second order mechanical system of a...
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.
Vo k2 X(s) Y(s) CS For particular values of the resistance, capacitance, damping factor and spring...
Vo k2 X(s) Y(s) CS For particular values of the resistance, capacitance, damping factor and spring stiffness in the two systems above, the transfer function is given below. Use this transfer function for the question below for which the loading is sinusoidal in time with amplitude A and driving frequency o 2s +1 T(s) = 2s +3 Derive explicit formulas for the magnification factor M, and the phase shift φ (of the steady state response) as a function of driving...
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...
QUESTION 4 (140 marks) Determine the damped frequency of the spring-mass system schematically illustrated below if...
QUESTION 4 (140 marks) Determine the damped frequency of the spring-mass system schematically illustrated below if the spring stiffness is 3000 N/m and the damping coefficient c is set at 320 Ns/m. If a periodic 260 N force is applied to the mass at a frequency of 2 Hz, determine the amplitude of the forced vibration. Spring Viscous damper 35 kg Figure 4
Question 6 (Second-order system - log decrement). A mass-spring-damper system has a mass of 100 kg....
Question 6 (Second-order system - log decrement). A mass-spring-damper system has a mass of 100 kg. Its free response amplitude decays such that the amplitude of the 30th cycle is 20% of the amplitude of the 1st cycle. It takes 60 sec to complete 30 cycles. Estimate the damping constant c and the spring constant k.
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...
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.
A spring mass damper system is fixed at one end. The damper behaves such that a...
A spring mass damper system is fixed at one end. The damper behaves such that a constant force of 66 N applied to the damper gives a velocity of 7.95 m/second. Determine the damping constant 'c' ?
Spring mass damper system with forced response, the forced system given by the equation For damping...
Spring mass damper system with forced response, the forced system given by the equation For damping factor:E-0.1 ; mass; m-| kg: stiffness of spring; k-100 Nm; f-| 00 N; ω Zun; initial condition: x (0)-2 cms; r(0) = 0. fsincot Task Marks 1. Write down the reduced equation into 2first orderns Hand written equations differential equations 2. Rearrange equation (1) with the following generalized equation 250, x+osinor calculations 3. Calculate the value of c calculations Hand calculations 4. Using the...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mi+ci +kx- Asin(ot) 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 un-damped natural frequency on a. and the
A second order mechanical system of a...
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.
Vo k2 X(s) Y(s) CS For particular values of the resistance, capacitance, damping factor and spring stiffness in the two systems above, the transfer function is given below. Use this transfer function for the question below for which the loading is sinusoidal in time with amplitude A and driving frequency o 2s +1 T(s) = 2s +3 Derive explicit formulas for the magnification factor M, and the phase shift φ (of the steady state response) as a function of driving...
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...
QUESTION 4 (140 marks) Determine the damped frequency of the spring-mass system schematically illustrated below if the spring stiffness is 3000 N/m and the damping coefficient c is set at 320 Ns/m. If a periodic 260 N force is applied to the mass at a frequency of 2 Hz, determine the amplitude of the forced vibration. Spring Viscous damper 35 kg Figure 4
Question 6 (Second-order system - log decrement). A mass-spring-damper system has a mass of 100 kg. Its free response amplitude decays such that the amplitude of the 30th cycle is 20% of the amplitude of the 1st cycle. It takes 60 sec to complete 30 cycles. Estimate the damping constant c and the spring constant k.
Spring mass damper system with forced response, the forced system given by the equation For damping factor:E-0.1 ; mass; m-| kg: stiffness of spring; k-100 Nm; f-| 00 N; ω Zun; initial condition: x (0)-2 cms; r(0) = 0. fsincot Task Marks 1. Write down the reduced equation into 2first orderns Hand written equations differential equations 2. Rearrange equation (1) with the following generalized equation 250, x+osinor calculations 3. Calculate the value of c calculations Hand calculations 4. Using the...
Most questions answered within 3 hours.
-
1. What is the present value of $400, three years in the future
if the interest...
asked 31 minutes ago -
The labor force minus the number of employed equals the number
of unemployed.
a. True
b....
asked 2 hours ago -
Determine the mass in units of grams [g] of 0.49 moles [mol]
of a new fictitious...
asked 2 hours ago -
A horizontal mass of M=5kg is on a spring and stretched to
x=0.5m when released from...
asked 4 hours ago -
26 of 50
"I have worked at the Arizona Humane Society for ten years, and
have...
asked 4 hours ago -
Compare and contrast zero based budgeting and incremental (or
base year) budgeting.
asked 4 hours ago -
4 pts 10. Which of the following hypothesis would be MOST
difficult to test experimentally? Group...
asked 4 hours ago -
A business owner makes 1,000 items a day. Each day he or she
contributes eight hours...
asked 4 hours ago -
A
circular loop in the plane of a paper lies inca0.65 T magnetic
field pointing into...
asked 4 hours ago -
A business owner is trying to decide whether to buy, rent, or
lease office space and...
asked 4 hours ago -
Thermal Storage Solar heating of a house is much more efficient
if there is a way...
asked 5 hours ago -
Considering the “fits” for group and job design dimensions,
suppose you had 12 employees with different...
asked 5 hours ago