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HZ A mass of 0.4 kg is suspended from a spring of stiffness 0.4 N/mm. The...
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...
(d) A 4-kg mass is suspended from a spring with a constant k 25, and a dashpot with various level...
(d) A 4-kg mass is suspended from a spring with a constant k 25, and a dashpot with various levels of damping viscosity is present. The mass is displaced 0.5 m from its equilibrium and released. Determine the displacement y(t) of the mass if (i) c-15 i) c20, (iii) c-25, and (iv) c 30 In each case, state whether the system is overdamped, critically damped, or underdamped, and sketch the solution curve.
(d) A 4-kg mass is suspended from 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.
A į kg mass is attached to a spring with stiffness 4N/m and a damping constant...
A į kg mass is attached to a spring with stiffness 4N/m and a damping constant 1 N sec/m. The mass is displaced im to the left and given a velocity of 1m/sec to the left. (i) Find the equation of motion of the mass. (ii) What kind of motion do you get? Underdamped, overdamped or critically damped? (iii) What is the maximum displacement that the mass will attain?
A damped osillator has a mass (m = 2.00kg), a spring (k = 10.0N/m), and a...
A damped osillator has a mass (m = 2.00kg), a spring (k = 10.0N/m), and a damping coefficient b = 0.102kg/s. undamped angular frequency of the system is 2.24rad/s. If the initial amplitude is 0.250m, How many periods of motion are necessary for the amplitude to be reduced to 3/4 it initial value? is this system underdamped, critically damped, or overdamped
Y(s) 4 3. Consider a second order system_ and undamped natural frequency. Is the system underdamped,...
Y(s) 4 3. Consider a second order system_ and undamped natural frequency. Is the system underdamped, overdamped or critically damped? [5pts] What are the damping ratio U(s) s2+3s +4
A mass of 2 kg stretches a spring 0.1 m. At time t= 0 the mass...
A mass of 2 kg stretches a spring 0.1 m. At time t= 0 the mass is released from its equilibrium position with a downward velocity of 1 m/s. Air resistance adds a damping force equal to one fifth of the velocity of the mass. Set up an initial value problem for the position x(t) of the mass at time t. Determine whether the system is overdamped, underdamped or critically damped. You can assume the acceleration of gravity g equals...
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...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...
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...
(d) A 4-kg mass is suspended from a spring with a constant k 25, and a dashpot with various levels of damping viscosity is present. The mass is displaced 0.5 m from its equilibrium and released. Determine the displacement y(t) of the mass if (i) c-15 i) c20, (iii) c-25, and (iv) c 30 In each case, state whether the system is overdamped, critically damped, or underdamped, and sketch the solution curve.
(d) A 4-kg mass is suspended from 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.
A į kg mass is attached to a spring with stiffness 4N/m and a damping constant 1 N sec/m. The mass is displaced im to the left and given a velocity of 1m/sec to the left. (i) Find the equation of motion of the mass. (ii) What kind of motion do you get? Underdamped, overdamped or critically damped? (iii) What is the maximum displacement that the mass will attain?
Y(s) 4 3. Consider a second order system_ and undamped natural frequency. Is the system underdamped, overdamped or critically damped? [5pts] What are the damping ratio U(s) s2+3s +4
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...
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