Answered: A-kg mass is attached to a spring with… | bartleby

Related questions

Question

A-kg mass is attached to a spring with stiffness 25 N/m. The damping constant for the system is 4 N-sec/m. If the
15
55
mass is moved
8
m to the left of equilibrium and given an initial rightward velocity of 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) =
(Type an exact answer, using radicals as needed.)
***

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

5 kilogram object is suspended from a string. The string is 4 meters long. What is the period of the object ting as a pendulum? Express your answer a number of seconds, omitting the unit.
A mass weighing 4 Ibs. stretches a spring 6 in. If the mass is pushed upward, contracting the spring distance 1 in and then set in motion with a downward velocity of 2 fl/s, and if there is no damping. a. Find the position function u of the mass at any time t. b. Determine the frequency, period, amplitude, and phase of the motion.
As a function of time, the position of the mass in a damped oscillator is given by the following equation: x=Ae-Btcosωt Which of the following is the velocity of the mass as a function of time and if possible tell me why?16.A. -Ae-Bt(ωcosωt+Bsinωt) B. -Ae-Bt(Bcosωt-ωsinωt) C. -Ae-Bt(Bcosωt+ωsinωt) D. ABe-Bt(sinωt+cosωt) E. None of the above
r.math
A spring mass system consists of a sping with spring constant k and an attached block of mass m is submerged in a liquid that produces a damping force Fr. m=2kg Fr= 18 times the instaneous velocity of the center of mass of the block k=36 n/m If the mass is initially released from rest 1 meter below equilibrium position a. Give a 2nd degree equation that describe the motion of the center of mass of the attached block b. Solve the equation in part a
When a 2-kilogram mass is attached to a spring whose spring constant is 32 N/m, it comes to rest in the equilibrium position. From t=0, a force equal to [img] is applied to the system. What is the equation of motion in the absence of damping?
A mass of 3kg stretches a spring 40cm. Suppose the mass is displaced an additional 12em in the positive (downward) direction and then ruleased. Suppose that the damping constant is 2N/m and assume g9.8 m/s is the gravitational accelaration. Set up a differential equation that describes this system. Let a to denote the displacement, in metern, of the mass from its equilbrium position, and give your answer in terms of z, , a". 3"+ 2 + 245r=0 b) Enter the intial conditions (0) 12 m. (0) o m/s is this wyotem under damped, over damped, or critically damped? under damped
The fixing element B receives a horizontal motion given by xB = bcos(wt). Derive the equation of motion for the mass and define the critical angular fre- quency we at which the oscillations of the mass become excessively large. What is the damping coefficient of the system? €1 wwwwww m €2 xg= b cos cot B