Question

A small object of mass 1 kg is attached to a spring with spring constant 2...

A small object of mass 1 kg is attached to a spring with spring constant 2 N/m. This spring mass system is immersed in a viscous medium with damping constant 3 N· s/m. At time t = 0, the mass is lowered 1/2 m below its equilibrium position, and released. Show that the mass will creep back to its equilibrium position as t approaches infinity.

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Please give me like because of my future contribution it's needed..Thank u :)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An object has a mass of 2 Kg. It is attached to a spring that has...
An object has a mass of 2 Kg. It is attached to a spring that has a constant of K=10 N/m and also a damping force of 4 times the velocity. The object begins at 1 m below equilibrium and has a beginning velocity of 1 m/s toward equilibrium( upward) . Solve for the position x(t). Is the spring overdamped, underdamped or critically damped?
A 1/2 kg mass is attached to a spring with 20 N/m. The damping constant for...
A 1/2 kg mass is attached to a spring with 20 N/m. The damping constant for the system is 6 N-sec/m. If the mass is moved 12/5 m to the left of equilibrium and given an initial rightward velocity of 62/5 m/sec, determine the equation of motion of the mass and give its damping factor, quasiperiod, and quasifrequency. What is the equation of motion? y(t)= The damping factor is: The quasiperiod is: The quasifrequency is:
A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences...
A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences friction, which acts as a force opposite and proportional to the velocity, with magnitude 2 N for every m/s of velocity. The spring is stretched 1 meter and then released. (a) Find a formula for the position of the mass as a function of time. (b) How much time does it take the mass to complete one oscillation (to pass the equilibrium point, bounce...
A 1-kilogram mass is attached to a spring whose constant is 16 N / m, and...
A 1-kilogram mass is attached to a spring whose constant is 16 N / m, and then the entire system is immersed in a liquid that imparts a damping force equal to 10 times the instantaneous speed. Determine the equations of motion if the mass is initially released from a point 1 meter below the equilibrium position. differential equations
An object with mass 2.5 kg is attached to a spring with spring stiffness constant k...
An object with mass 2.5 kg is attached to a spring with spring stiffness constant k = 270 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. ____m (b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.] ____m/s
An object of mass of 2.7 kg is attached to a spring with a force constant...
An object of mass of 2.7 kg is attached to a spring with a force constant of k = 280 N/m. At t = 0, the object is observed to be 2.0 cm from its equilibrium position with a speed of 55 cm/s in the -x direction. The object undergoes simple harmonic motion “back and forth motion” without any loss of energy. (a) Sketch a diagram labeling all forces on the object and calculate the maximum displacement from equilibrium of...
when a mass of 2 kg is attached to a spring whose constant is 32 N/m,...
when a mass of 2 kg is attached to a spring whose constant is 32 N/m, it come to rest in the equilibrium position. at a starting time t=0, an external force of y=80e^(-4t)*cos(4t) is applied to the system. find the motion equation in the absence of damping.
A 1/4​-kg mass is attached to a spring with stiffness 52 N/m. The damping constant for...
A 1/4​-kg mass is attached to a spring with stiffness 52 N/m. The damping constant for the system is 6 ​N-sec/m. If the mass is moved 3/4 m to the left of equilibrium and given an initial rightward velocity of 1 ​m/sec, determine the equation of motion of the mass y(t) = and give its damping​ factor, quasiperiod, and quasifrequency.
A 1-kg mass is attached to a spring whose constant is 16 N/m and the entire...
A 1-kg mass is attached to a spring whose constant is 16 N/m and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Determine the equation if (A) The weight is released 60 cm below the equilibrium position. x(t)= ; (B) The weight is released 60 cm below the equilibrium position with an upward velocity of 17 m/s. x(t)= ; Using the equation from part b, (C)...
A body weighing 1 [kg] is attached to a spring hanging from the ceiling. The spring...
A body weighing 1 [kg] is attached to a spring hanging from the ceiling. The spring stiffness constant is k = 6k = 6 [N / m]. The medium surrounding the system offers resistance proportional to body speed with a damping constant: µ = 5μ = 5 [N.s / m]. The body's center of mass is initially at a distance of 1 [m] below the equilibrium point, then the body is released by printing an upward velocity of 44 [m...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT