Question

A spring is attached 6 in by a mass that weighs 8 lb. The mass is...

A spring is attached 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb.s/ft and is acted on by an external force of 4cos(2t) lb. 1. Determine the steady state response of this system 2. If the given mass is replaced by a mass m, determine the value of m for which the amplitude of the steady state response is maximum. 3. Write down the gain factor resulting from this external force.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


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
Differential Equations A spring is stretched 6in by a mass that weighs 8 lb. The mass...
Differential Equations A spring is stretched 6in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb· s/ft and is acted on by an external force of 2cos(2t) lb. (a) Find position u(t) of the mass at time t (b) Determine the steady-state response of this system Assume that g = 32 ft/s2
A spring is stretched by 7in by a mass weighing 17lb. The mass is attached to...
A spring is stretched by 7in by a mass weighing 17lb. The mass is attached to a dashpot mechanism that has a damping constant of .3 lb* s/ft and is acted on by an external force of 4cos(8t)lb. Determine the steady state response of this system. Use 32 ft/s2 as the acceleration due to gravity. Pay close attention to the units. U(t) = ? ft
A spring is stretched by 9 in by a mass weighing 18 lb. The mass is...
A spring is stretched by 9 in by a mass weighing 18 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.15 lb⋅s/ft and is acted on by an external force of 6cos⁡(8t) lb.Determine the steady state response of this system. Use 32 ft/s^2 as the acceleration due to gravity. Pay close attention to the units. Leave answer in terms of exact numbers(no decimals).
1-Consider the following. 36y'' − y = 0, y(−4) = 1,   y'(−4) = −1 Find the...
1-Consider the following. 36y'' − y = 0, y(−4) = 1,   y'(−4) = −1 Find the solution of the given initial value problem. y(t) = ? 2- Consider the vibrating system described by the initial value problem. (A computer algebra system is recommended.) u'' + u = 9 cos ωt, u(0) = 5, u'(0) = 4 3-A spring is stretched 6 in. by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a...
A mass weighing 32 lb is attached to a spring hanging from the ceiling and comes...
A mass weighing 32 lb is attached to a spring hanging from the ceiling and comes to rest at its equilibrium position. At time t=0, an external force of F(t) = 3cos(2t) lb is applied to the system. If the spring constant is 10lb/ft and the damping constant is 4 lb-sec/ft, find the steady state solution for the system. Use g = 32 ft / sec^2
A mass weighing 96 lb is attached to a spring hanging from the ceiling and comes...
A mass weighing 96 lb is attached to a spring hanging from the ceiling and comes to rest at its equilibrium position. At time t=​0, an external force of F(t) = 3cos(4t) lb is applied to the system. If the spring constant is 10 lb/ft and the damping constant is 3 lb-sec/ft, find the​ steady-state solution for the system. Use g=32 ft/sec^2
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is...
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. (a) If the system is driven by an external force of (12 cos 3t − 8 sin 3t) N, determine the steady-state response. (b) Find the gain function if the external force is f(t) = cos(ωt). (c) Verify...
A 64 lb weight is attached to a spring causing it to stretch 3 inches and...
A 64 lb weight is attached to a spring causing it to stretch 3 inches and then comes to rest in the equilibrium position. The damping force is equal to 3 times the instantaneous velocity. Starting at t = 0 an external force of 3cos(12t) applied to the system. Find the steady state solution for the system
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...
A mass weighing 8 lb is attached to a spring hanging from the ceiling, and comes...
A mass weighing 8 lb is attached to a spring hanging from the ceiling, and comes to rest at its equilibrium position. The spring constant is 9 lb/ft and there is no damping. A. How far (in feet) does the mass stretch the spring from its natural length? L=________ (do not include units). B. What is the resonance frequency for the system? ?0= _________(do not include units). C. At time t=0 seconds, an external force F(t)=2cos(?0t) is applied to the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT