Question

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

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solved.

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 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...
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 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...
differential equations: a 2kg mass is placed on a spring with k=8. at t=0, the system...
differential equations: a 2kg mass is placed on a spring with k=8. at t=0, the system is set in motion from its equilibrium position by an external force given by 2cos(wt) where w is a positive constant. for which value of w, if any, will the system have resonance?
A 128 lb weight is attached to a spring whereupon the spring is stretched 2 ft...
A 128 lb weight is attached to a spring whereupon the spring is stretched 2 ft and allowed to come to rest. The weight is set into motion from rest by displacing the spring 6 in above its equilibrium position and also by applying an external force F(t) = 8 sin 4t. Find the subsequent motion of the weight if the surrounding medium offers a negligible resistance.
A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. The...
A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 12 ft/s. Determine the time at which the mass passes through the equilibrium position. (Use g = 32 ft/s2 for the acceleration due to gravity.) s Find the time after the mass...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT