Question

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.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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=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.
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.
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 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.
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...
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...
consider a spring mass system with a damping force but no external force that has the...
consider a spring mass system with a damping force but no external force that has the following equation of motion. Find the damping constant c that gives the critical damping   x'+cx'+9x=0 x(0)=2 x'(0)=0
Consider a system with a vibrating base. The spring constant is given as K = 10.kN/m...
Consider a system with a vibrating base. The spring constant is given as K = 10.kN/m and the mass is also given as M = 200.Kg. If the amplitude of the base is 0.5mm, then what should the damping constant c be for the amplitude of the transmitted force to be equal to 2500.N at resonance.
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?
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT