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6. (12pts) A spring with a mass of 1 kg has damping constant 10 kg/s and...
A spring with a mass of 2 kg has a damping constant 14 kg/s. A force...
A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.6 m beyond its natural length and then released. Find the position of the mass at any time t. (Assume that movement to the right is the positive x-direction and the spring is attached to a wall at the left end.)
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the s...
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the spring is stretched 1 m beyond its natural length and given an initial velocity of 1 m/sec back towards its equilibrium position. Find the circular frequency ω, period T, and amplitude A of the motion. (Assume the spring is stretched in the positive direction.) A 7 kg mass is attached to a spring with constant k 112 N m. Given...
A 1-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for...
A 1-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is 7 N-sec/m. If the mass is pulled^ m to the left of equilibrium and given an initial rightward velocity of 4 m/sec a) Find and solve the equation of motion governing the system b) State the type of motion for the system? c) When will the mass first return to its equilibrium position?
A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep...
A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.6 m beyond its natural length and then released. Find the position of the mass at any time t. (Assume that movement to the right is the positive x-direction and the spring is attached to a wall at the left end.)
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...
(1 point) A spring with an m-kg mass and a damping constant 8 (kg/s) can be...
(1 point) A spring with an m-kg mass and a damping constant 8 (kg/s) can be held stretched 1 meters beyond its natural length by a force of 5 newtons. If the spring is stretched 2 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping. m = 80 kg
A spring with an mm-kg mass and a damping constant 3 (kg/s) can be held stretched...
A spring with an mm-kg mass and a damping constant 3 (kg/s) can be held stretched 0.5 meters beyond its natural length by a force of 1 newtons. If the spring is stretched 1 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping. m =
A 1-kg mass is attached to a spring with stiffness 45N/m. The damping constant for the system is 6 N-sec/m. The mass is pulled 1 m to the right of the equilibrium position and released. Find the...
A 1-kg mass is attached to a spring with stiffness 45N/m. The damping constant for the system is 6 N-sec/m. The mass is pulled 1 m to the right of the equilibrium position and released. Find the equation of motion in phase-shift form. When will the mass first return to its equilibriom position, and at what velocity?
A 1-kg mass is attached to a spring with stiffness 45N/m. The damping constant for the system is 6 N-sec/m. The mass is...
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...
(1 point) Consider a spring attached to a 1 kg mass, damping constant 6 = 9,...
(1 point) Consider a spring attached to a 1 kg mass, damping constant 6 = 9, and spring constant k = 20. The initial position of the spring is -1 metres beyond its resting length, and the initial velocity is 2 m/s. After 1 second, a constant force of 60 Newtons is applied to the system for exactly 2 seconds. Set up a differential equation for the position of the spring y (in metres beyond its resting length) after t...
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the spring is stretched 1 m beyond its natural length and given an initial velocity of 1 m/sec back towards its equilibrium position. Find the circular frequency ω, period T, and amplitude A of the motion. (Assume the spring is stretched in the positive direction.) A 7 kg mass is attached to a spring with constant k 112 N m. Given...
A 1-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is 7 N-sec/m. If the mass is pulled^ m to the left of equilibrium and given an initial rightward velocity of 4 m/sec a) Find and solve the equation of motion governing the system b) State the type of motion for the system? c) When will the mass first return to its equilibrium position?
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...
(1 point) A spring with an m-kg mass and a damping constant 8 (kg/s) can be held stretched 1 meters beyond its natural length by a force of 5 newtons. If the spring is stretched 2 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping. m = 80 kg
A 1-kg mass is attached to a spring with stiffness 45N/m. The damping constant for the system is 6 N-sec/m. The mass is pulled 1 m to the right of the equilibrium position and released. Find the equation of motion in phase-shift form. When will the mass first return to its equilibriom position, and at what velocity?
A 1-kg mass is attached to a spring with stiffness 45N/m. The damping constant for the system is 6 N-sec/m. The mass 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...
(1 point) Consider a spring attached to a 1 kg mass, damping constant 6 = 9, and spring constant k = 20. The initial position of the spring is -1 metres beyond its resting length, and the initial velocity is 2 m/s. After 1 second, a constant force of 60 Newtons is applied to the system for exactly 2 seconds. Set up a differential equation for the position of the spring y (in metres beyond its resting length) after t...
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