a 4.00 lb weight stretches a certain spring 0.500 ft. With this weight attached, the spring...
a 4.00 lb weight stretches a certain spring 0.500 ft. With this weight attached, the spring is pulled 3.00 inches longer than its equilibrium length and released. Find the equation of the resulting motion, assuming no damping.
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a 4.00 lb weight stretches a certain spring 0.500 ft. With this
weight attached, the spring...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the sy...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 18 inches above equilibrium position. z(t) Preview (b) the weight is released 18 inches above the equilibrium position with an upward velocity of 3 ft/s. r(t) Preview...
Please show all work! Thank you! P.S. 5.2 Q2 A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the...
Please show all work! Thank you!
P.S. 5.2 Q2
A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 15 inches above equilibrium position x(t) Preview (b) the weight is released 15 inches above the equilibrium position with an upward velocity...
A 24-lb weight, attached to the end of the spring, stretches it 4 inches. Find the...
A 24-lb weight, attached to the end of the spring, stretches it 4 inches. Find the equation of motion if the weight is released from rest, from a point 3 inches above the equilibrium.
3. A 64 lb weight stretches a spring 4 ft in equilibrium. The weight is initially...
3. A 64 lb weight stretches a spring 4 ft in equilibrium. The weight is initially displaced 6 inches above equilibrium and given a downward velocity of 6 ft/sec. Find its displacement for t > 0 if the medium resists the motion with a force equal to 3 times the speed in ft/sec (that is, the damping constant c=3). Note that there is no external force in this case.
3a. [10pts) A 32 lb weight is attached to a spring whose constant is 25 lb/ft....
3a. [10pts) A 32 lb weight is attached to a spring whose constant is 25 lb/ft. Initially the mass is released I ft below the equilibrium position with a downward velocity of 1 ft/sec. Find the equation of motion 3b. 10pts) Determine the equation of motion in part(a) if the surrounding medium offers a damping force numerically equal to 10 times the instantaneous velocity. 3c. [14pts) Determine the equation of motion in parts(a)-(b) if the weight is driven by an...
Will Rate!! A weight of 64 lb stretches a spring 4 ft. The weight is pulled...
Will Rate!!
A weight of 64 lb stretches a spring 4 ft. The weight is pulled down 5 ft below the equilibrium position and then released. What initial velocity vo given to the weight would have the effect of doubling the amplitude of the vibration? Use g=32 ft/sec Vo ft/sec (Type an exact answer, using radicals as needed.)
A weight of 48 lb stretches a spring 4 ft. The weight is pulled down 2...
A weight of 48 lb stretches a spring 4 ft. The weight is pulled down 2 ft below the equilibrium position and then released. What initial velocity vo given to the weight would have the effect of doubling the amplitude of the vibration? Use g=32 ft/sec ft/sec (Type an exact answer, using radicals as needed.)
A 128 lb weight is attached to a spring that has a spring constant of 64...
A 128 lb weight is attached to a spring that has a spring constant of 64 lb/ft. The system is started into motion by displacing it 6 in above the equilibrium position and by simultaneously applying an external force of f(t) = 8 sin 4t. There are no damping forces. Find the equation of motion for these conditions. Find the period and frequency of the motion. Draw a graph of the solution.
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...
2) A 2-pound weight attached to the end of a spring stretches it 6 inches. At...
2) A 2-pound weight attached to the end of a spring stretches it 6 inches. At t= 0 and from a position 8 inches below the equilibrium position the weight is given a upward velocity of 3/4 ft/s. a) Find the equation of motion. b) What are the amplitude and period of motion? c) How many complete vibrations will the weight have completed at the end of 6t? d) What is the position of the weight at t=5s with respect...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 18 inches above equilibrium position. z(t) Preview (b) the weight is released 18 inches above the equilibrium position with an upward velocity of 3 ft/s. r(t) Preview...
Please show all work! Thank you!
P.S. 5.2 Q2
A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 15 inches above equilibrium position x(t) Preview (b) the weight is released 15 inches above the equilibrium position with an upward velocity...
3. A 64 lb weight stretches a spring 4 ft in equilibrium. The weight is initially displaced 6 inches above equilibrium and given a downward velocity of 6 ft/sec. Find its displacement for t > 0 if the medium resists the motion with a force equal to 3 times the speed in ft/sec (that is, the damping constant c=3). Note that there is no external force in this case.
3a. [10pts) A 32 lb weight is attached to a spring whose constant is 25 lb/ft. Initially the mass is released I ft below the equilibrium position with a downward velocity of 1 ft/sec. Find the equation of motion 3b. 10pts) Determine the equation of motion in part(a) if the surrounding medium offers a damping force numerically equal to 10 times the instantaneous velocity. 3c. [14pts) Determine the equation of motion in parts(a)-(b) if the weight is driven by an...
Will Rate!!
A weight of 64 lb stretches a spring 4 ft. The weight is pulled down 5 ft below the equilibrium position and then released. What initial velocity vo given to the weight would have the effect of doubling the amplitude of the vibration? Use g=32 ft/sec Vo ft/sec (Type an exact answer, using radicals as needed.)
A weight of 48 lb stretches a spring 4 ft. The weight is pulled down 2 ft below the equilibrium position and then released. What initial velocity vo given to the weight would have the effect of doubling the amplitude of the vibration? Use g=32 ft/sec ft/sec (Type an exact answer, using radicals as needed.)
A 128 lb weight is attached to a spring that has a spring constant of 64 lb/ft. The system is started into motion by displacing it 6 in above the equilibrium position and by simultaneously applying an external force of f(t) = 8 sin 4t. There are no damping forces. Find the equation of motion for these conditions. Find the period and frequency of the motion. Draw a graph of the solution.
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...
2) A 2-pound weight attached to the end of a spring stretches it 6 inches. At t= 0 and from a position 8 inches below the equilibrium position the weight is given a upward velocity of 3/4 ft/s. a) Find the equation of motion. b) What are the amplitude and period of motion? c) How many complete vibrations will the weight have completed at the end of 6t? d) What is the position of the weight at t=5s with respect...
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