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Question 4 A viscously damped SDOF system oscillates at a simple harmonic motion given by x(t)-X...
The system parameters of a freely-vibrating damped SDOF system are as follows: Mass, m= 100 kg...
The system parameters of a freely-vibrating damped SDOF system are as follows: Mass, m= 100 kg Damping Factor, c = 200 kg/s Spring Stiffness, k = 3000 N/m Initial Position, x, = 1 m Initial Velocity, v,= 0 m/s a) Create a MATLAB code and using the specified system parameters compute (using the correct units) the system characteristics: 1) natural (circular) frequency on; 2) cyclic frequency fn; 3) cyclic period p; 4) damped natural (circular) frequency 0g, and 5) damping...
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...
Energy in simple harmonic motion A 2.90 kg object oscillates with simple harmonic motion on a...
Energy in simple harmonic motion A 2.90 kg object oscillates with simple harmonic motion on a spring of force constant 600 N/m. The maximum speed is 0.800 m/s. A) What is the total energy of the object and the spring? B) What is the maximum amplitude of the oscillation?
A system oscillates with simple harmonic motion.
A system oscillates with simple harmonic motion. The acceleration of the system is described by a(t) = 2.6 m/s2 cos(2t / 16 sec). What is the maximum displacement of this system as it oscillates?
A 0.50 kg mass oscillates in simple harmonic motion on a spring with a spring constant...
A 0.50 kg mass oscillates in simple harmonic motion on a spring with a spring constant of 210 N/m . Part A What is the period of the oscillation? Part B What is the frequency of the oscillation?
Exercise 11: Simple Harmonic Motion 1. A spring-mass system oscillates with a frequency of 10 Hz...
Exercise 11: Simple Harmonic Motion 1. A spring-mass system oscillates with a frequency of 10 Hz when the mass is equal to 0.50 kg. What is the stiffness of the spring? With the same spring, what would the mass need to be to double the frequency? 2. A pendulum swings with a period of 1.50 seconds when the acceleration due to gravity is equal to 9.80 m/s? What is the length of the pendulum? How would this period change if...
Olt) 1422LLA 1. The system at the right is subject to the harmonic + x(t) force...
Olt) 1422LLA 1. The system at the right is subject to the harmonic + x(t) force f(t) = Fo sin ot as shown, with amplitude 50 N and a forcing frequency due to a motor (not m shown) with speed = 191 rotations per minute (RPM). Mass m can only translate horizontally and the rod is pinned at point O. The parameters are: r = 5 cm, m= 10 kg, Jo = 1 kg m-, kı = 1000 N/m, ka...
A particle undergoes damped harmonic motion. The spring constant is 100 N/m; the damping constant is...
A particle undergoes damped harmonic motion. The spring constant is 100 N/m; the damping constant is 8.0 x 10-3 kg∙m/s, and the mass is 0.050 kg. If the particle starts at its maximum displacement, x = 1.5 m, at time t = 0, what is the angular frequency of the oscillations?
For a SDOF system with mass 1.4 kg, spring constant 4.2 N/m, and damping constant 1.5...
For a SDOF system with mass 1.4 kg, spring constant 4.2 N/m, and damping constant 1.5 N-sec/m, the damped period is (two decimals, units).
Please Show steps (1 point) This problem is an example of over-damped harmonic motion. A mass...
Please Show steps
(1 point) This problem is an example of over-damped harmonic motion. A mass m = 3 kg is attached to both a spring with spring constant k = 36 N/m and a dash-pot with damping constant c= 24 N · s/m. The ball is started in motion with initial position xo = -4 m and initial velocity vo = 2 m/s. Determine the position function x(t) in meters. X(t) = Graph the function x(t).
The system parameters of a freely-vibrating damped SDOF system are as follows: Mass, m= 100 kg Damping Factor, c = 200 kg/s Spring Stiffness, k = 3000 N/m Initial Position, x, = 1 m Initial Velocity, v,= 0 m/s a) Create a MATLAB code and using the specified system parameters compute (using the correct units) the system characteristics: 1) natural (circular) frequency on; 2) cyclic frequency fn; 3) cyclic period p; 4) damped natural (circular) frequency 0g, and 5) damping...
Exercise 11: Simple Harmonic Motion 1. A spring-mass system oscillates with a frequency of 10 Hz when the mass is equal to 0.50 kg. What is the stiffness of the spring? With the same spring, what would the mass need to be to double the frequency? 2. A pendulum swings with a period of 1.50 seconds when the acceleration due to gravity is equal to 9.80 m/s? What is the length of the pendulum? How would this period change if...
Olt) 1422LLA 1. The system at the right is subject to the harmonic + x(t) force f(t) = Fo sin ot as shown, with amplitude 50 N and a forcing frequency due to a motor (not m shown) with speed = 191 rotations per minute (RPM). Mass m can only translate horizontally and the rod is pinned at point O. The parameters are: r = 5 cm, m= 10 kg, Jo = 1 kg m-, kı = 1000 N/m, ka...
Please Show steps
(1 point) This problem is an example of over-damped harmonic motion. A mass m = 3 kg is attached to both a spring with spring constant k = 36 N/m and a dash-pot with damping constant c= 24 N · s/m. The ball is started in motion with initial position xo = -4 m and initial velocity vo = 2 m/s. Determine the position function x(t) in meters. X(t) = Graph the function x(t).
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