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(d) A 4-kg mass is suspended from a spring with a constant k 25, and a dashpot with various level...
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 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...
Consider a mass-spring-dashpot system in which the mass is m = 4 lb-sec^2/ft, the damping constant...
Consider a mass-spring-dashpot system in which the mass is m = 4 lb-sec^2/ft, the damping constant is c =24 lb-sec/ft, and the spring constant is k=52lb/ft. The motion is free damped motion and the mass is set in motion with initial position x0=5ft and the initial velocity v0= -7ft/sec. Find the position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped.
plz print your result -1 points МУ Not A mass weighing 3V 10 N stretches a spring 2 m. The mass is attached to a dashpot device that offers a damping force numerically equal to β (B > 0) times the...
plz print your result
-1 points МУ Not A mass weighing 3V 10 N stretches a spring 2 m. The mass is attached to a dashpot device that offers a damping force numerically equal to β (B > 0) times the instantaneous velocity Determine the values of the damping constant B so that the subsequent motion is overdamped, critically damped, and underdamped. (If an answer is an interval, use interval notation. Use g 9.8 m/s2 for the acceleration due to...
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 mass m is attached to both a spring (with given spring constant k) and a...
A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given damping constant c). The mass is set in motion with initial position X, and initial velocity vo Find the position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the form x(t) =C, e-pt cos (0,t-a). Also, find the undamped position function u(t) = Cocos (0,0+ - )...
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...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is then submerged in a liquid that inparts a damping force equal to 4 tines the instantansous velocity. At t = 0 the mass is released from the equilibrium position with no initial velocity. An external force t)4t-3) is applied. (a) Write (t), the external force, as a piecewise function and sketch its graph b) Write the initial-value problem (c)Solve...
Math 216 Homework WebHWI, PIUUIUM A mass with mass 7 is attached to a spring with...
Math 216 Homework WebHWI, PIUUIUM A mass with mass 7 is attached to a spring with spring constant 42 and a dashpot giving a damping 55. The mass is set in motion with initial position 6 and initial velocity 8. (All values are given in consistent units) Find the position function (t) = The motion is (select the correct description) A. underdamped B. overdamped C. critically damped 0 ). Finally find the undamped position function u(t) = Cocos(wist - 00)...
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 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...
plz print your result
-1 points МУ Not A mass weighing 3V 10 N stretches a spring 2 m. The mass is attached to a dashpot device that offers a damping force numerically equal to β (B > 0) times the instantaneous velocity Determine the values of the damping constant B so that the subsequent motion is overdamped, critically damped, and underdamped. (If an answer is an interval, use interval notation. Use g 9.8 m/s2 for the acceleration due to...
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 mass m is attached to both a spring (with given spring constant k) and a dashpot (with given damping constant c). The mass is set in motion with initial position X, and initial velocity vo Find the position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the form x(t) =C, e-pt cos (0,t-a). Also, find the undamped position function u(t) = Cocos (0,0+ - )...
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...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is then submerged in a liquid that inparts a damping force equal to 4 tines the instantansous velocity. At t = 0 the mass is released from the equilibrium position with no initial velocity. An external force t)4t-3) is applied. (a) Write (t), the external force, as a piecewise function and sketch its graph b) Write the initial-value problem (c)Solve...
Math 216 Homework WebHWI, PIUUIUM A mass with mass 7 is attached to a spring with spring constant 42 and a dashpot giving a damping 55. The mass is set in motion with initial position 6 and initial velocity 8. (All values are given in consistent units) Find the position function (t) = The motion is (select the correct description) A. underdamped B. overdamped C. critically damped 0 ). Finally find the undamped position function u(t) = Cocos(wist - 00)...
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