A 2 kg mass is hung from a spring and stretches it 12 cm. The mass...
A 2 kg mass is hung from a spring and stretches it 12 cm. The
mass is also attached to a viscous damper that exerts a force of 3
N when the velocity of the mass is 4 m/s. The mass is pulled down 7
cm below its equilibrium position and given an initial downward
velocity of 10 cm/s.
Find an initial value problem that models the displacement of the
mass, measured in meters, from the equilibrium position.
Homework Answers
Add Answer to:
A 2 kg mass is hung from a spring and stretches it 12 cm. The
mass...
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...
2. A spring is stretched 10 cm by a force of 3 newtons. A mass of...
2. A spring is stretched 10 cm by a force of 3 newtons. A mass of 2 kg is hung from the spring and is also attached to a viscous damper that exerts a force of 3 newtons when the velocity of the mass is 5 m/sec. If the mass is pulled down 5 cm below its equilibrium position and given an initial downward velocity of 10 cm/sec, determine its position u at time t. Find the quasi frequency and...
ro A mass of 5 kg stretches a spring 20 cm. The mass is acted on...
ro A mass of 5 kg stretches a spring 20 cm. The mass is acted on by an external force of 10 sin N (newtons) and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 2 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 9 cm/s, formulate the initial value problem describing the motion of the mass. (Use g = 9.8...
Problem 5. (12 points) A mass of 5 kg stretches a spring 4 cm when hanged...
Problem 5. (12 points) A mass of 5 kg stretches a spring 4 cm when hanged vertically. Suppose that the mass is given an addition 6 cm displacement downward and then released (at time 0), and an external force of 4-3 cos(t) N at all time (starting at time 0). In addition, suppose that the mass is in a medium that exerts viscous resistance of 3 N when the mass has a velocity of 0.4 m/s. Assume acceleration due to...
Problem 6. A mass of 1.00 kg is hung from the ceiling by an ideal spring....
Problem 6. A mass of 1.00 kg is hung from the ceiling by an ideal spring. When a mass of 0.500 kg is added to the original mass, the spring stretches by an additional 0.933 cm. (a) What is the force constant of the spring? (b) By how much did the spring stretch when only the 1.00kg mass was hung from it? The system (with the 1.50kg mass) is now set in oscillation with an amplitude of 2.20cm. (c) What...
When a 0.452 kg mass is hung from a certain spring it stretches 0.154 m to...
When a 0.452 kg mass is hung from a certain spring it stretches 0.154 m to its equilibrium position at a point P. If this mass is pulled down 0.143 m from point P and released, what is the magnitude of the maximum acceleration of the mass in m/s27
Please help with 4a and 4b 4. (8 marks) A spring of natural length L is...
Please help with 4a and 4b
4. (8 marks) A spring of natural length L is hung vertically with a mass of 2 kg attached to the end. 4(a) Assume that the friction is negligible and the spring constant is k 128. Find the position of the mass at time t, if the spring is pulled down 0.2m from its equilibrium position and released with velocity 0 at time t = 0. Flo)0.2 4(b) Assume that a spring, with an...
A spring hanging from a hook has a relaxed length of 8.1 cm with no mass...
A spring hanging from a hook has a relaxed length of 8.1 cm with no mass attached to it. When a 0.41 kg mass is hung from the spring the spring stretches to a new equilibrium length of 12 cm. The mass is then pulled downward an additional 5.8 cm from the equilibrium position and released from rest. How fast (in m/s) is the mass moving when it first passes through the original equilibrium position of the spring (the relaxed...
1) A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg...
1) A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg is attached to the spring and set into motion in a medium that offer a damped force equal 4 times the velocity. If the mass is at stating from 0.5 m above the equilibrium position with a downward initial velocity of 0.2m/sec a) Find the equation for the position if the system is exerted by an external force of f(t) = 4 cost. b)...
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...
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...
2. A spring is stretched 10 cm by a force of 3 newtons. A mass of 2 kg is hung from the spring and is also attached to a viscous damper that exerts a force of 3 newtons when the velocity of the mass is 5 m/sec. If the mass is pulled down 5 cm below its equilibrium position and given an initial downward velocity of 10 cm/sec, determine its position u at time t. Find the quasi frequency and...
ro A mass of 5 kg stretches a spring 20 cm. The mass is acted on by an external force of 10 sin N (newtons) and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 2 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 9 cm/s, formulate the initial value problem describing the motion of the mass. (Use g = 9.8...
Problem 5. (12 points) A mass of 5 kg stretches a spring 4 cm when hanged vertically. Suppose that the mass is given an addition 6 cm displacement downward and then released (at time 0), and an external force of 4-3 cos(t) N at all time (starting at time 0). In addition, suppose that the mass is in a medium that exerts viscous resistance of 3 N when the mass has a velocity of 0.4 m/s. Assume acceleration due to...
Problem 6. A mass of 1.00 kg is hung from the ceiling by an ideal spring. When a mass of 0.500 kg is added to the original mass, the spring stretches by an additional 0.933 cm. (a) What is the force constant of the spring? (b) By how much did the spring stretch when only the 1.00kg mass was hung from it? The system (with the 1.50kg mass) is now set in oscillation with an amplitude of 2.20cm. (c) What...
When a 0.452 kg mass is hung from a certain spring it stretches 0.154 m to its equilibrium position at a point P. If this mass is pulled down 0.143 m from point P and released, what is the magnitude of the maximum acceleration of the mass in m/s27
Please help with 4a and 4b
4. (8 marks) A spring of natural length L is hung vertically with a mass of 2 kg attached to the end. 4(a) Assume that the friction is negligible and the spring constant is k 128. Find the position of the mass at time t, if the spring is pulled down 0.2m from its equilibrium position and released with velocity 0 at time t = 0. Flo)0.2 4(b) Assume that a spring, with an...
A spring hanging from a hook has a relaxed length of 8.1 cm with no mass attached to it. When a 0.41 kg mass is hung from the spring the spring stretches to a new equilibrium length of 12 cm. The mass is then pulled downward an additional 5.8 cm from the equilibrium position and released from rest. How fast (in m/s) is the mass moving when it first passes through the original equilibrium position of the spring (the relaxed...
1) A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg is attached to the spring and set into motion in a medium that offer a damped force equal 4 times the velocity. If the mass is at stating from 0.5 m above the equilibrium position with a downward initial velocity of 0.2m/sec a) Find the equation for the position if the system is exerted by an external force of f(t) = 4 cost. b)...
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...
Most questions answered within 3 hours.
-
For this problem, carry at least four digits after the decimal
in your calculations. Answers may...
asked 26 minutes ago -
Ask a user for three positive integer numbers. Use an input
validation loop to make sure...
asked 29 minutes ago -
The most primitive form of data from data analysis perspective
is a. nominal scale b. ordinal...
asked 30 minutes ago -
The number of vacancies in some hypothetical metal increases by
a factor of 5 when the...
asked 33 minutes ago -
The fiduciary duty that is predicated on the concept that a
board of directors and officers...
asked 35 minutes ago -
Sustainable Growth Rate Last year Umbrellas Unlimited
Corporation had an ROE of 17.3% and a dividend...
asked 45 minutes ago -
Write a MATLAB program to do the following:
Receive 5 input values and store them into...
asked 49 minutes ago -
Which one of the following aqueous solutions would you expect to
have the largest conductance: (a)...
asked 48 minutes ago -
(Intermediate Macroeconomics)
2.The aggregate supply function be ys=2000+P, and the aggregate
demand function be yD=2400-P。Find the...
asked 53 minutes ago -
I am having a really difficult time developing a strong thesis
for this question....... To what...
asked 1 hour ago -
There are n street lights in a line. In order to conserve
energy, the city decides...
asked 1 hour ago -
Cellular growth and repair require a cell to go through the cell
cycle. Like all biological...
asked 1 hour ago