Homework Answers
![A] Giren that 96 32 = 3 shay k= 96 3.2 =30 lbltt 3 C = 18 lb ( ft18 slo) = 912 F E FE à 10) = 15 ft ls The equation of the mo](http://img.homeworklib.com/questions/adee2850-10a4-11eb-b7c1-d19346ab3287.png?x-oss-process=image/resize,w_560)
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Problem 4: A 961b weight stretches a spring 3.2ft in equilibrium. It is submitted to friction...
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.
I need the correct u(t). Ibs stretches a spring 4 inches what is the spring constant?...
I need the correct u(t).
Ibs stretches a spring 4 inches what is the spring constant? If the mass has a velocity of 6 ft/sec and this results in a viscous resistance of 117 lbs what is the damping coefficient? If a mass weighing Assume 32lb = 1 slug Preview slugs a. What is the mass of the object? 15 lb sec b. What is the damping coefficient? c19s . What is the spring constant? k = 144 ft n...
An object stretches a spring 6 inches in equilibrium. Find its displacement y for t> 0...
An object stretches a spring 6 inches in equilibrium. Find its displacement y for t> 0 (where y is the displacement of the object from its equilibrium position, measured positive upward), if it's initially displaced 3 inches above equilibrium and given a downward velocity of 6 inches/s. Find the frequency, period, amplitude and phase angle of the motion.
DIFFERENTIAL EQUATIONS An object stretches a spring 6 inches when it comes to rest at equilibrium....
DIFFERENTIAL EQUATIONS
An object stretches a spring 6 inches when it comes to rest at
equilibrium. Find its displacement for t > 0 if it is initially
displaced 3 inches above equilibrium and given a downward velocity
of 6 inches per second.
Use substitution :
Answer:y= -1/4 cos(8t)+1/16 sin(8t)
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...
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...
Problem #6: A 144lb weight stretches a spring 18 feet. The weight hangs vertically from the...
Problem #6: A 144lb weight stretches a spring 18 feet. The weight hangs vertically from the spring and a damping force numerically equal to 12 times the instantaneous velocity acts on the system. The weight is released from 9 feet above the equilibrium position with a downward velocity of 39 fts. (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time in seconds) at which the mass attains its extreme displacement...
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. y=?
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...
4. 5pts] A 5 kg object is attached to a spring and stretches it 0.1 m...
4. 5pts] A 5 kg object is attached to a spring and stretches it 0.1 m on its own. There is no damping in the system, but an external force is present, described by the function F(t) 8coswt. The object is initially displaced 25 cm downward from equilibrium with no initial velocity and the system experiences resonance. Find the displacement of the object at any time t.
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.
I need the correct u(t).
Ibs stretches a spring 4 inches what is the spring constant? If the mass has a velocity of 6 ft/sec and this results in a viscous resistance of 117 lbs what is the damping coefficient? If a mass weighing Assume 32lb = 1 slug Preview slugs a. What is the mass of the object? 15 lb sec b. What is the damping coefficient? c19s . What is the spring constant? k = 144 ft n...
An object stretches a spring 6 inches in equilibrium. Find its displacement y for t> 0 (where y is the displacement of the object from its equilibrium position, measured positive upward), if it's initially displaced 3 inches above equilibrium and given a downward velocity of 6 inches/s. Find the frequency, period, amplitude and phase angle of the motion.
DIFFERENTIAL EQUATIONS
An object stretches a spring 6 inches when it comes to rest at
equilibrium. Find its displacement for t > 0 if it is initially
displaced 3 inches above equilibrium and given a downward velocity
of 6 inches per second.
Use substitution :
Answer:y= -1/4 cos(8t)+1/16 sin(8t)
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...
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...
Problem #6: A 144lb weight stretches a spring 18 feet. The weight hangs vertically from the spring and a damping force numerically equal to 12 times the instantaneous velocity acts on the system. The weight is released from 9 feet above the equilibrium position with a downward velocity of 39 fts. (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time in seconds) at which the mass attains its extreme displacement...
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...
4. 5pts] A 5 kg object is attached to a spring and stretches it 0.1 m on its own. There is no damping in the system, but an external force is present, described by the function F(t) 8coswt. The object is initially displaced 25 cm downward from equilibrium with no initial velocity and the system experiences resonance. Find the displacement of the object at any time t.
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