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A mass of 10 kg is suspended by a spring having a stiffness of 10000o N/m....
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
6-B) A weight attached to a spring of stiffness 982 N/m has a viscous damping device....
6-B) A weight attached to a spring of stiffness 982 N/m has a viscous damping device. When the weight is displaced and released, the period of vibration is 1.02 s, and the magnitude of consecutive amplitudes is 0.61 m and 0.29 m. a) Identify the mass (m) and damping (c) coefficient. b) Determine the amplitude and phase of the response when a force, f(t) = 4.2 cos (6.31) N, acts on the system.
4. (30%) Consider the following system that consists of a mass m-10kg, coil spring of stiffness...
4. (30%) Consider the following system that consists of a mass m-10kg, coil spring of stiffness k-1000N/m, and damping c-200Ns/m. 1) Suppose that the mass is initially at rest and is given an initial velocity of 3 m/s Find the free vibration response of the mass. 2) Suppose that at a later time, a harmonic force F (t)- sin15t is acted on the mass. Determine the amplitude of the forced vibration response. F, sin
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.
A 3.33-kg mass attached to a spring with k = 151 N/m is oscillating in a...
A 3.33-kg mass attached to a spring with k = 151 N/m is oscillating in a vat of oil, which damps the oscillations. If the damping constant of the oil is b = 10.3 kg/s, how long will it take the amplitude of the oscillations to decrease to 1.70 % of its original value? What should the damping constant be to reduce the amplitude of the oscillations by 98.3 % in 1.30 s?
HZ A mass of 0.4 kg is suspended from a spring of stiffness 0.4 N/mm. The...
HZ A mass of 0.4 kg is suspended from a spring of stiffness 0.4 N/mm. The damping is 3.794733192 kg/s What is the undamped natural frequency of the system in Hz? f= Your answer should be accurate to within +/-0.1. What is the value of the critical damping coefficient? Сст в kg/s Your answer should be accurate to within +/-0.1. What is the value of the damping ratio? Your answer should be accurate to within +/-0.01. Is the system: (a)...
A spring is suspended vertically from a fixed support. The spring has spring constant k=24 N m −1 k=24 N m−1 . An object...
A spring is suspended vertically from a fixed support. The
spring has spring constant k=24 N m −1 k=24 N m−1 . An object of
mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The
subject is subject to damping with damping constant β N m −1 s β N
m−1 s . Let y(t) y(t) be the displacement in metres at the end of
the spring below its equilibrium position, at time t...
A 0.500 kg mass is attached to a spring of constant 150 N/m. A driving force...
A 0.500 kg mass is attached to a spring of constant 150 N/m. A driving force F(t) = ( 12.0N) cos(ϝt) is applied to the mass, and the damping coefficient b is 6.00 Ns/m. What is the amplitude (in cm) of the steady-state motion if ϝ is equal to half of the natural frequency ϝ0 of the system?
A -kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is ...
A -kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is 2 4 N-sec/m. If the mass is moved - m to the left of equilibrium and given an initial rightward velocity of - m/sec, determine the equation of motion of the mass and give its damping factor, quasiperiod, and quasifrequency. What is the equation of motion? 15 2 (Type an exact answer, using radicals as needed.)
A -kg mass is attached...
Consider the mass M subject to periodic forcing P(t) A sin wt where A 0.3 and e is a small parame...
Consider the mass M subject to periodic forcing P(t) A sin wt where A 0.3 and e is a small parameter. The mass is attached to a spring with stiffness k and dashpot with damping coefficientc to model the stiffness and damping of the structure. Resting atop the idealized structure is vibration damper consisting of a mass ma, spring ka, and dashpot ca, as shown in Figure 1. The goal is to make the appropriate choice of the parameters ma,...
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
6-B) A weight attached to a spring of stiffness 982 N/m has a viscous damping device. When the weight is displaced and released, the period of vibration is 1.02 s, and the magnitude of consecutive amplitudes is 0.61 m and 0.29 m. a) Identify the mass (m) and damping (c) coefficient. b) Determine the amplitude and phase of the response when a force, f(t) = 4.2 cos (6.31) N, acts on the system.
4. (30%) Consider the following system that consists of a mass m-10kg, coil spring of stiffness k-1000N/m, and damping c-200Ns/m. 1) Suppose that the mass is initially at rest and is given an initial velocity of 3 m/s Find the free vibration response of the mass. 2) Suppose that at a later time, a harmonic force F (t)- sin15t is acted on the mass. Determine the amplitude of the forced vibration response. F, sin
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.
A 3.33-kg mass attached to a spring with k = 151 N/m is oscillating in a vat of oil, which damps the oscillations. If the damping constant of the oil is b = 10.3 kg/s, how long will it take the amplitude of the oscillations to decrease to 1.70 % of its original value? What should the damping constant be to reduce the amplitude of the oscillations by 98.3 % in 1.30 s?
HZ A mass of 0.4 kg is suspended from a spring of stiffness 0.4 N/mm. The damping is 3.794733192 kg/s What is the undamped natural frequency of the system in Hz? f= Your answer should be accurate to within +/-0.1. What is the value of the critical damping coefficient? Сст в kg/s Your answer should be accurate to within +/-0.1. What is the value of the damping ratio? Your answer should be accurate to within +/-0.01. Is the system: (a)...
A spring is suspended vertically from a fixed support. The
spring has spring constant k=24 N m −1 k=24 N m−1 . An object of
mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The
subject is subject to damping with damping constant β N m −1 s β N
m−1 s . Let y(t) y(t) be the displacement in metres at the end of
the spring below its equilibrium position, at time t...
A -kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is 2 4 N-sec/m. If the mass is moved - m to the left of equilibrium and given an initial rightward velocity of - m/sec, determine the equation of motion of the mass and give its damping factor, quasiperiod, and quasifrequency. What is the equation of motion? 15 2 (Type an exact answer, using radicals as needed.)
A -kg mass is attached...
Consider the mass M subject to periodic forcing P(t) A sin wt where A 0.3 and e is a small parameter. The mass is attached to a spring with stiffness k and dashpot with damping coefficientc to model the stiffness and damping of the structure. Resting atop the idealized structure is vibration damper consisting of a mass ma, spring ka, and dashpot ca, as shown in Figure 1. The goal is to make the appropriate choice of the parameters ma,...
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