Question

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:

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

Homework Answers

Answer #1

The quasi frequency is just the frequency at which the cosine and sine functions
appearing in the formula for y(t) oscillate. So it is 2 Hz

Hence, The quasi period is 2π/2

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
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 5​-kg mass is attached to a spring with stiffness 225 N/m. The damping constant for...
A 5​-kg mass is attached to a spring with stiffness 225 N/m. The damping constant for the system is 30√5 N-sec/m. If the mass is pulled 20 cm to the right of equilibrium and given an initial rightward velocity of 3 ​m/sec, what is the maximum displacement from equilibrium that it will​ attain? ​(Type an exact​ answer, using radicals as​ needed.)
A 4 kg mass is attached to a spring with stiffness 48 N/m. The damping constant...
A 4 kg mass is attached to a spring with stiffness 48 N/m. The damping constant for the spring is 16\sqrt{3} N - sec/m. If the mas is pulled 30 cm to the right of equilibrium and given an initial rightward velocity of 3 m/sec, what is the maximum displacement from equilibrium that it will attain?
A 4kg mass is attached to a spring with stiffness 80 N/m. The damping constant for...
A 4kg mass is attached to a spring with stiffness 80 N/m. The damping constant for the system is 16sqrt(5) N-sec/m. If the mass is pulled 10 cm to the right of equilibrium and given an initial rightward velocity of 4 m/sec, what is the maximum displacement from equilibrium that is will attain? The maximum displacement is [ ] meters. Type an exact answer, using radicals as needed
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 mass of 4 Kg attached to a spring whose constant is 20 N / m...
A mass of 4 Kg attached to a spring whose constant is 20 N / m is in equilibrium position. From t = 0 an external force, f (t) = et sin t, is applied to the system. Find the equation of motion if the mass moves in a medium that offers a resistance numerically equal to 8 times the instantaneous velocity. Draw the graph of the equation of movement in the interval.
Consider a horizontal spring-mass vibration system without damping, where the mass is 2 kg, the spring...
Consider a horizontal spring-mass vibration system without damping, where the mass is 2 kg, the spring is 18 N/m, and the external force is a periodic force f(t) = 6sin(3t): a) Write the differential equation modeling the motion of this spring-mass system b) Solve the differential equation in (a). Show Work c) If at the initial time t = 0, the mass is at position 2 m to the right of the equilibrium position and its velocity is 1 m/s...
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.
A spring-mass-dashpot system has a mass of 1 kg and its damping constant is 0.2 N−Sec...
A spring-mass-dashpot system has a mass of 1 kg and its damping constant is 0.2 N−Sec m . This mass can stretch the spring (without the dashpot) 9.8 cm. If the mass is pushed downward from its equilibrium position with a velocity of 1 m/sec, when will it attain its maximum displacement below its equilibrium?
A mass m is attached to a spring with stiffness k=25 N/m. The mass is stretched...
A mass m is attached to a spring with stiffness k=25 N/m. The mass is stretched 1 m to the left of the equilibrium point then released with initial velocity 0. Assume that m = 3 kg, the damping force is negligible, and there is no external force. Find the position of the mass at any time along with the frequency, amplitude, and phase angle of the motion. Suppose that the spring is immersed in a fluid with damping constant...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT