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5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 feet. The entire system...
5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 fort. The entire system...
5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 fort. The entire system is placed in a medium that offers a damping force numerically equivalent to twice the instantaneous velocity. The mass is initially released from a point 1/2 foot above the equilibrium point with a downward velocity of 5 sec (a) (6 points) Write the differential equation for the mass spring system and identify the initial conditions 7 5. (b) (12 points) Solve the IVP in...
(7 points) 14. A mass weighing 4 pounds stretches a spring 2 feet. The system is...
(7 points) 14. A mass weighing 4 pounds stretches a spring 2 feet. The system is submerged in a medium which offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. Find the equation of motion, ä(t). What type of damped motion is this system?
(7 points) 13. A mass weighing 10 pounds stretches a spring 3 inches. The mass is...
(7 points) 13. A mass weighing 10 pounds stretches a spring 3 inches. The mass is removed and replaced with a mass weighing 51.2 pounds, which is initially released from a point 4 inches above the equilibrium position with an downward velocity of ft/s. Find the equation of motion, ä(t). (g = 32 ft/s2) (7 points) 14. A mass weighing 4 pounds stretches a spring 2 feet. The system is submerged in a medium which offers a damping force that...
A mass weighing 8 pounds stretches a spring 1 foot. The system is then immersed in...
A mass weighing 8 pounds stretches a spring 1 foot. The system is then immersed in a medium that offers a damping force numerically equal to 3 times the instantaneous velocity. The mass is initially released from the equilibrium position with a downward velocity of 4 ft/s. Find the spring constant ?, mass ? and the damping constant ? Find ? and ?, and the roots of the characteristic equation: Write the initial conditions: Estimate the time when the mass...
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...
1. A mass weighing 8 pounds is attached to a 4 foot long spring and stretches it to 8 feet long. ...
1. A mass weighing 8 pounds is attached to a 4 foot long spring and stretches it to 8 feet long. The medium offers a damping force equal to 0.5 times the instantaneous velocity. Find the equation of motion if the mass is released from rest at a position 18 inches above the equilibrium.
1. A mass weighing 8 pounds is attached to a 4 foot long spring and stretches it to 8 feet long. The medium offers a damping...
A mass weighing 4 pounds stretches a spring 6 inches. At time t = 0, the...
A mass weighing 4 pounds stretches a spring 6 inches. At time t = 0, the weight is then struck to set it into motion with an initial velocity of 2 ft/sec, directed downward. Determine the equations of motion for the position and the velocity of the weight. Find the amplitude, period, and frequency of the position (displacement). A 4-lb weight stretches a spring 1 ft. If the weight moves in a medium where the magnitude of the damping force...
In problems 14-17, set up the spring mass equation. Determine whether it is undamped, under, critically...
In problems 14-17, set up the spring mass equation. Determine whether it is undamped, under, critically or overdamped. Solve the IVP and draw a graph (technology is cool) of the solution on the interval 0 < t < 12. If the system Is underdamped convert the solution to the form Re^alpha t sin(beta t + delta) A mass weighing 64 pounds stretches a spring 0.32 foot. The mass is initially released from a point 8 inches above the equilibrium position...
3. A mass weighing 2 pounds stretches a spring 1 foot. The mass is initially released...
3. A mass weighing 2 pounds stretches a spring 1 foot. The mass is initially released from rest from a point 1 foot above the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is 1 numerically equal to 0.4 times the instantaneous velocity. Find the equation of motion.(25pts)
a mass weighing 8 pounds when attached to a spring, stretches it 6 inches.the object is...
a mass weighing 8 pounds when attached to a spring, stretches it 6 inches.the object is originally at rest and is released 6 inches below equilibrium find the equation of motion if the surronding medium offers a damping force that is numerically equal to 5 times the instantaneous velocity
5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 fort. The entire system is placed in a medium that offers a damping force numerically equivalent to twice the instantaneous velocity. The mass is initially released from a point 1/2 foot above the equilibrium point with a downward velocity of 5 sec (a) (6 points) Write the differential equation for the mass spring system and identify the initial conditions 7 5. (b) (12 points) Solve the IVP in...
(7 points) 14. A mass weighing 4 pounds stretches a spring 2 feet. The system is submerged in a medium which offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. Find the equation of motion, ä(t). What type of damped motion is this system?
(7 points) 13. A mass weighing 10 pounds stretches a spring 3 inches. The mass is removed and replaced with a mass weighing 51.2 pounds, which is initially released from a point 4 inches above the equilibrium position with an downward velocity of ft/s. Find the equation of motion, ä(t). (g = 32 ft/s2) (7 points) 14. A mass weighing 4 pounds stretches a spring 2 feet. The system is submerged in a medium which offers a damping force that...
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...
1. A mass weighing 8 pounds is attached to a 4 foot long spring and stretches it to 8 feet long. The medium offers a damping force equal to 0.5 times the instantaneous velocity. Find the equation of motion if the mass is released from rest at a position 18 inches above the equilibrium.
1. A mass weighing 8 pounds is attached to a 4 foot long spring and stretches it to 8 feet long. The medium offers a damping...
A mass weighing 4 pounds stretches a spring 6 inches. At time t = 0, the weight is then struck to set it into motion with an initial velocity of 2 ft/sec, directed downward. Determine the equations of motion for the position and the velocity of the weight. Find the amplitude, period, and frequency of the position (displacement). A 4-lb weight stretches a spring 1 ft. If the weight moves in a medium where the magnitude of the damping force...
In problems 14-17, set up the spring mass equation. Determine whether it is undamped, under, critically or overdamped. Solve the IVP and draw a graph (technology is cool) of the solution on the interval 0 < t < 12. If the system Is underdamped convert the solution to the form Re^alpha t sin(beta t + delta) A mass weighing 64 pounds stretches a spring 0.32 foot. The mass is initially released from a point 8 inches above the equilibrium position...
3. A mass weighing 2 pounds stretches a spring 1 foot. The mass is initially released from rest from a point 1 foot above the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is 1 numerically equal to 0.4 times the instantaneous velocity. Find the equation of motion.(25pts)
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