Question

Using the Newton’s second law model for a vibrating spring with damping and no forcing, 〖my〗^''+by^'+ky=0,...

Using the Newton’s second law model for a vibrating spring with damping and no forcing, 〖my〗^''+by^'+ky=0, find the equation of motion if m=10 kg, b=60 kg/sec, k=50 kg/sec2, y(0)=0.3, and y^' (0)=-0.1 m/sec. What is the position of the mass after 1 second? Show all work.

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
Using the Newton’s second law model for a vibrating spring with damping and no forcing, my"+by'+ky=0,...
Using the Newton’s second law model for a vibrating spring with damping and no forcing, my"+by'+ky=0, find the equation of motion if m=10kg, b=60kg/sec, k=50kg/sec^2, y(0)=0.3, and y'(0)=-0.1m/sec. What is the mass after 1 second? Show all work.
Using the Newton’s second law model for a vibrating mass-spring system with damping and no forcing,...
Using the Newton’s second law model for a vibrating mass-spring system with damping and no forcing, 〖my〗^''+by^'+ky=0, find the equation of motion if m=10 kg, b=40 kg/sec, k=240 kg/sec2, y(0)=1.0, and y^' (0)=0.0 m/sec.
Consider the generic homogeneous spring-mass system my″+γy′+ky=0my″+γy′+ky=0 Use either Euler’s Method or ode45 to investigate how...
Consider the generic homogeneous spring-mass system my″+γy′+ky=0my″+γy′+ky=0 Use either Euler’s Method or ode45 to investigate how the solution of the second order equation y 00 + γy0 + 2y = 0 depends on the damping coefficient γ. Include nicely labeled plots y(t) vs. t for each choice of γ in (a)-(d) below (either on the same or separate axes). Use the initial conditions y(0) = 0.1, y0(0) = 0 and step size ∆t = 0.001. Write a few sentences describing...
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:
T93 There is a vibrating mass-spring system supported on a frictionless surface and a second equal...
T93 There is a vibrating mass-spring system supported on a frictionless surface and a second equal mass that is moving toward the vibrating mass with velocity v. the motion of the vibrating mass is given by x = Acosωt (where x is the displacement of the mass from its equilibrium position in m, A is the amplitude of 0.1 m, and ω is the angular frequency of 40 rad/s). The two masses collide elastically just as the vibrating mass passes...
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.
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...
An oscillator of mass 2 Kg has a damping constant of 12 kg/sec and a spring...
An oscillator of mass 2 Kg has a damping constant of 12 kg/sec and a spring constant of 10N/m. What is its complementary position solution? If it is subject to a forcing function of F(t)= 2*sin(2t) what is the equation for the position with respect to time? Equation 2(x2) + 12(x1) + 10(x) = 2*sin(2t); x2 is the 2nd derivative of x; x1 is the 1st derivative of x.
Consider the initial value problem my′′+cy′+ky=F(t), y(0)=0, y′(0)=0 modeling the motion of a spring-mass-dashpot system initially...
Consider the initial value problem my′′+cy′+ky=F(t), y(0)=0, y′(0)=0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m=2 kilograms, c=8 kilograms per second, k=80 Newtons per meter, and F(t)=60cos(8t) Newtons. Solve the initial value problem. y(t)= help (formulas) Determine the long-term behavior of the system. Is limt→∞y(t)=0? If it is, enter zero. If not, enter a function that approximates y(t) for...
a) Use Newton’s second law to set up an equation that describes the motion of a...
a) Use Newton’s second law to set up an equation that describes the motion of a mass moving horizontally under the influence of a linear spring force. Neglect air resistance and friction. Solve your equation to obtain expressions for the object’s position, velocity and acceleration as functions of time. Obtain an expression for the angular frequency of the oscillation. Clearly define all quantities you need to do this. b) Repeat a) using energy ideas.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT