Mathematics

Mathematics, 13.07.2019 02:30, tonio638

Decide if each statement is true or false. (no need to justify your answers! ) a) a damped spring-mass system will eventually settle down to a steady-state oscillation uwith frequency equal to that of the natural frequency of the spring. (no external force is present.) b) if there is no damping, and no external force, then the oscillations will maintain a fixed amplitude.

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Mathematics, 17.07.2019 18:10, highspeed7100

(1 point) a mass weighing 10 lb stretches a spring 12 in. suppose the mass is displaced an additional 12 in in the positive (downward) direction and then released with an initial upward velocity of 1 ft/s. the mass is in a medium, that exerts a viscuouse resistance of 2 lb when the mass has a velocity of 2 ft/s. assume g 32 ft/s is the gravitational acceleration (a) find the mass m ( in lb . s2/ft) m0.3125 (b) find the damping coefficient c (in lb - s/ft) c- (c) find the spring contant k (in lb/ft) k= 10 (d) set up a differential equation that describes this system. let r to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x',z" (e) enter the initial conditions (01 '(0)1 ft ft/s (f) is this system under damped, over damped, or critically damped? under damped '

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Engineering, 17.07.2019 23:20, ayoismeisjjjjuan

Aviscously damped single degree of freedom mass-spring system has a mass m of 2 kg, a spring coefficient k of 2000 n/m, and a damping constant c of 5 n s/m. determine (a) the damping factor , (b) the natural frequency w, (c) the damped natural frequency o, and (d) the spring coefficient needed to obtain critically damped system.

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Physics, 21.08.2019 03:10, gia57

Amass weighing 10lb stretches a spring 30in. suppose the mass is displaced an additional 2in in the positive (downward) direction and then released with an initial upward velocity of 4ft/s. the mass is in a medium, that exerts a viscuouse resistance of 5lb when the mass has a velocity of 16ft/s assume g=32ft/s2 is the gravitational acceleration. (a) find the mass m ( in lb⋅s2/ft). m = (b) find the damping coefficient c (in lb⋅s/ft). c = (c) find the spring contant k (in lb/ft). k = (d) set up a differential equation that describes this system. let xx to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x,x′,x′′. (e) enter the initial conditions: x(0) = ft x'(0) = ft/s (f) is this system under damped, over damped, or critically damped?

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Physics, 24.10.2019 16:43, cecem58

Exercise 2.4.2: consider a mass and spring system with a mass m = 2, spring constant k = 3, and damping constant c = 1. a) set up and find the general solution of the system. b) is the system underdamped, overdamped or critically damped? c) if the system is not critically damped, find a c that makes the system critically damped.

Answers: 2

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Decide if each statement is true or false. (no need to justify your answers! ) a) a damped spring-ma...

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