![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 e](http://img.homeworklib.com/questions/fb1dfce0-9d82-11eb-bd2d-ffe06d7e27f0.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
4. 5pts] A 5 kg object is attached to a spring and stretches it 0.1 m...
A 1 kg object is attached to a spring and stretches it 0.2 m on its...
A 1 kg object is attached to a spring and stretches it 0.2 m on its own. There is no damping in the system, but an external force is present, described by the function F(t) = 6 cos omega t. The object is initially displaced 30 cm downward from equilibrium with no initial velocity and 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...
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.
Consider a spring of mass 1 Kg attached to a spring obeying Hooke's Law with spring...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
A mass of 2 kg stretches a spring 0.1 m. At time t= 0 the mass...
A mass of 2 kg stretches a spring 0.1 m. At time t= 0 the mass is released from its equilibrium position with a downward velocity of 1 m/s. Air resistance adds a damping force equal to one fifth of the velocity of the mass. Set up an initial value problem for the position x(t) of the mass at time t. Determine whether the system is overdamped, underdamped or critically damped. You can assume the acceleration of gravity g equals...
8. A10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg mass...
8. A10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg mass is attached to the spring, initially displaced 25 cmbelow equilibrium, and given an upward velocity of 2 m/s Find its displacement for t > 0. Find the frequency, period, amplitude, and phase angle of the motion.
8. A 10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg...
8. A 10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg mass is attached to the spring, initially displaced 25 cmbelow equilibrium, and given an upward velocity of 2 m/s Find its displacement fort > 0. Find the frequency, period, amplitude, and phase angle of the motion.
mass weighing W pounds stretches a spring 7 foot and stretches a different spring foot. The two springs are attached in series and the mass is then attached to the double spring as shown in th...
mass weighing W pounds stretches a spring 7 foot and stretches a different spring foot. The two springs are attached in series and the mass is then attached to the double spring as shown in the figure below. (a) A rigid suppont that the motion is free and that there is no damping force present. Determine the equation of motion if the mass is initially released at a point 1 foot below the equlbrium postion with a downward velocity of...
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.
Problem 4: A 961b weight stretches a spring 3.2ft in equilibrium. It is submitted to friction...
Problem 4: A 961b weight stretches a spring 3.2ft in equilibrium. It is submitted to friction with damping coefficient y 1810 – scc/ft. The weight is initially displaced 9 inches below equilibrium and given a downward velocity of 15 ft/sec. Find its displacement for 0.
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 1 kg object is attached to a spring and stretches it 0.2 m on its own. There is no damping in the system, but an external force is present, described by the function F(t) = 6 cos omega t. The object is initially displaced 30 cm downward from equilibrium with no initial velocity and 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.
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
8. A10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg mass is attached to the spring, initially displaced 25 cmbelow equilibrium, and given an upward velocity of 2 m/s Find its displacement for t > 0. Find the frequency, period, amplitude, and phase angle of the motion.
8. A 10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg mass is attached to the spring, initially displaced 25 cmbelow equilibrium, and given an upward velocity of 2 m/s Find its displacement fort > 0. Find the frequency, period, amplitude, and phase angle of the motion.
mass weighing W pounds stretches a spring 7 foot and stretches a different spring foot. The two springs are attached in series and the mass is then attached to the double spring as shown in the figure below. (a) A rigid suppont that the motion is free and that there is no damping force present. Determine the equation of motion if the mass is initially released at a point 1 foot below the equlbrium postion with a downward velocity of...
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.
Problem 4: A 961b weight stretches a spring 3.2ft in equilibrium. It is submitted to friction with damping coefficient y 1810 – scc/ft. The weight is initially displaced 9 inches below equilibrium and given a downward velocity of 15 ft/sec. Find its displacement for 0.
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)
Most questions answered within 3 hours.
-
Water has significant IMF, which result in many of its unique
properties—high boiling point relative to...
asked 18 minutes ago -
I need help with an executive summary for Adidas Items to be
included are a discription...
asked 11 minutes ago -
19. Most progressive reform activists were white
and a. upper class. b. lower class. c. wokring...
asked 13 minutes ago -
If X is a binomial random variable with n = 8
and p = 0.2, the...
asked 23 minutes ago -
Seasonal or cyclical variation in a time-series model…
---exhibits irregular
variation that can be accounted for...
asked 24 minutes ago -
Please use Barney's VRIO framework of analysis to evaluate a
firm's competencies. Please choose a specific...
asked 37 minutes ago -
Where would you expect to have diabetes contributing to the most
DALYs in 2035, according to...
asked 38 minutes ago -
1.) Major league baseball salaries averaged $1.5 million with a
standard deviation of $1 million in...
asked 47 minutes ago -
A hedge fund is holding a three-year,
$10 million face value 6 percent annual coupon bond...
asked 59 minutes ago -
The focal length of a makeup (concave) mirror is 0.48 m. What
magnification does this mirror...
asked 1 hour ago -
TRUE/FALSE
Long-lived assets that are tangible in nature, used in the
operations of the business, and...
asked 1 hour ago -
A dragon biologist is setting up an experimental population of
1000 individuals. In dragons, pointy crests...
asked 1 hour ago