A mass weighing 52lb stretches a spring 7.5in. The mass is also attached to a damper...
A mass weighing 52lb stretches a spring 7.5in. The mass is also attached to a damper with coeffient Y. Determine the value of Y for which the system is critically damped. Assume that g=32ft/s^2
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A mass weighing 52lb stretches a spring 7.5in. The mass is also
attached to a damper...
2. An 8 lb object stretches a spring 1/2 ft by itself when there is no damper attached. Then, a damper is attached to it that will exert a force of 12 lbs when the velocity is 2 ft/s. Is this...
2. An 8 lb object stretches a spring 1/2 ft by itself when there is no damper attached. Then, a damper is attached to it that will exert a force of 12 lbs when the velocity is 2 ft/s. Is this system over- damped, under-damped, or critically damped? (6 points) a) b) Find the displacement at any time t, u(t). (6 points) c) Sketch of the displacement of the mass for the first 10 seconds. (4 points) d) Discuss the...
4. A spring is stretch 10 cm by a force of 3 N. A mass of...
4. A spring is stretch 10 cm by a force of 3 N. A mass of 2 kg is hung from the spring and is also attached to a viscous damper that exerts a force of 3 N when the velocity of the mass is 5 m/s. If the mass is pulled down 5 cm below its equilibrium position and given an initial donward velocity of 10 cm/s determine its position u at any time t. Find the quasi-frequency μ...
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the spring...
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 8 m. The mass is in a medium that exerts a viscous resistance of 576 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 18 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7= c) If the initial value...
A 189-kg mass, when attached to the end of a spring hanging vertically, stretches the spring...
A 189-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 9 m. The mass is in a medium that exerts a viscous resistance of 3024 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 14 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7 c) If the initial value...
A mass weighing 16 lb stretches a spring 3 in. the mass is attached to a viscous damper with a da...
A mass weighing 16 lb stretches a spring 3 in. the mass is attached to a viscous damper with a damping constant of 2 lb s/ft. if the mass is set in motion from its equilibrium position with a downward velocity of 3 in/s. (1) find its position u(t) at any time t. Plot u versus t. (2) Determine the quasi frequency and the quasi period. (3) find the time τ such that |u(t)| < 0.01 in for all t...
A mass weighing 10 lb stretches a spring 11 in. The mass is attached to a...
A mass weighing 10 lb stretches a spring 11 in. The mass is attached to a viscous damper with damping constant 3 lb ·s/ft. The mass is pushed upward, contracting the spring a distance of 4 in, and then set into motion with a downward velocity of 2 in/s. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) =
A mass weighing 11 lb stretches a spring 8 in. The mass is attached to a...
A mass weighing 11 lb stretches a spring 8 in. The mass is attached to a viscous damper with damping constant 3 lb-s/ft. The mass is pushed upward, contracting the spring a distance of 2 in, and then set into motion with a downward velocity of 6 in/s. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) =
A mass weighing 8 lb stretches a spring 3 in. The mass is attached to a...
A mass weighing 8 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb-s/it. If the mass is set in motion from its equilibrium position with a downward velocity of 2 in /s, find its position at any time 1. Assume the acceleration of gravity g = 32 ft/s? e sin4/7 245 'sini 1 1 "costri 1 1 1 24 vi cos7+ 24/7 sin 45 "cosa + V7 sin...
< Pre A mass weighing 18 lb stretches a spring 6 in. The mass is attached...
< Pre A mass weighing 18 lb stretches a spring 6 in. The mass is attached to a viscous damper with damping constant 4lb-s/ft. The mass is pushed upward, contracting the spring a distance of 4 in, and then set into motion with a downward velocity of 5 in/s. Determine the position u of the mass at any time t. Use 32 ft/s” as the acceleration due to gravity. Pay close attention to the units. u(t) = in
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...
2. An 8 lb object stretches a spring 1/2 ft by itself when there is no damper attached. Then, a damper is attached to it that will exert a force of 12 lbs when the velocity is 2 ft/s. Is this system over- damped, under-damped, or critically damped? (6 points) a) b) Find the displacement at any time t, u(t). (6 points) c) Sketch of the displacement of the mass for the first 10 seconds. (4 points) d) Discuss the...
4. A spring is stretch 10 cm by a force of 3 N. A mass of 2 kg is hung from the spring and is also attached to a viscous damper that exerts a force of 3 N when the velocity of the mass is 5 m/s. If the mass is pulled down 5 cm below its equilibrium position and given an initial donward velocity of 10 cm/s determine its position u at any time t. Find the quasi-frequency μ...
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 8 m. The mass is in a medium that exerts a viscous resistance of 576 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 18 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7= c) If the initial value...
A 189-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 9 m. The mass is in a medium that exerts a viscous resistance of 3024 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 14 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7 c) If the initial value...
A mass weighing 10 lb stretches a spring 11 in. The mass is attached to a viscous damper with damping constant 3 lb ·s/ft. The mass is pushed upward, contracting the spring a distance of 4 in, and then set into motion with a downward velocity of 2 in/s. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) =
A mass weighing 11 lb stretches a spring 8 in. The mass is attached to a viscous damper with damping constant 3 lb-s/ft. The mass is pushed upward, contracting the spring a distance of 2 in, and then set into motion with a downward velocity of 6 in/s. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) =
A mass weighing 8 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb-s/it. If the mass is set in motion from its equilibrium position with a downward velocity of 2 in /s, find its position at any time 1. Assume the acceleration of gravity g = 32 ft/s? e sin4/7 245 'sini 1 1 "costri 1 1 1 24 vi cos7+ 24/7 sin 45 "cosa + V7 sin...
< Pre A mass weighing 18 lb stretches a spring 6 in. The mass is attached to a viscous damper with damping constant 4lb-s/ft. The mass is pushed upward, contracting the spring a distance of 4 in, and then set into motion with a downward velocity of 5 in/s. Determine the position u of the mass at any time t. Use 32 ft/s” as the acceleration due to gravity. Pay close attention to the units. u(t) = in
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...
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