A 20 kg object is attached to a spring with spring constant 260kg/s. It is also attached to a dashpot with damping constantc = 280 N-sec/m. The object is pushed upwards from equilibriumwith velocity 5 m/s. Find its displacement and time-varyingamplitude for t > 0.y(t)The motion in this example isO overdampedO underdampedO critically dampedConsider the same setup above, but now suppose the object isunder the influence of an outside force given byF(t) = 18 cos(wt).What value for w will produce the maximum possible amplitude forthe steady state component of the solution?What is the maximum possible amplitude?

“Since you have asked multiple questions, we will solve the first question for you. If you want any…

A 20 kg object is attached to a spring with spring constant 260 kg/s?. It is also attached to a dashpot with damping constant c = 280 N-sec/m. The object is pushed upwards from equilibrium with velocity 5 m/s. Find its displacement and time-varying amplitude for t > 0. y(t)

A 20 kg object is attached to a spring with spring constant 260 kg/s?. It is also attached to a dashpot with damping constant c = 280 N-sec/m. The object is pushed upwards from equilibrium with velocity 5 m/s. Find its displacement and time-varying amplitude for t > 0. y(t)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: A mass of one kg stretches a spring 49 cm in equilibrium. It is attached to a dashpot that supplies…

A: From the solution refer below images.

Q: 3) A one-degree-of-freedom system has an effective mass M-4-kg, an effective spring stiffness…

A: To find (a) The natural frequency ωn and critical damping ratio ζ (b) The response q as a function…

Q: A single degree damped vibrating system is formed of a block of mass m 5 kg. a spring of K= 100 N/m…

A: Given: Mass of the block→m=5 Kg Spring constant→k=100 N/m The initial point is→Xo=100 mm=0.10 m The…

Q: A single degree damped vibrating system is formed of a block of mass m= 10 kg, a spring of K= 100…

Q: General Solution for small oscillations of a simple pendulum with length 5.0 m and mass of 2.0 kg…

Q: critical damping of the system ?

A: Given: A vibratory system consists of a mass,m=13.5 kgSpring stiffness,k=1355 N/mdamping…

Q: The mass equals 1 kg, the spring constant equals 25 N/m, and the damping coefficient equals 0.05…

Q: 1. For the system below: a. find the differential equation in terms of 0 (for small values of 0) b.…

A: Given:

Q: A mass-spring system is driven by the external force S-2, 0 <t < 5 g(t) = 2, 5 <t< 10' 9(t + 10) =…

Q: 2- A damped single degree of freedom mass-spring system has a mass m = 5 kg, a spring stiffness k =…

A: Step 1:Step 2:Step 3:Step 4:

Q: 14. A spring-mass system is found to vibrate with a frequency of 120 cycles per minute in air and…

A: Givenfrequency of the system airf=120 cycles per minutes frequency of the system liquidf=100 cycles…

Q: The frequency of a damped harmonic oscillator is one-half the frequency of the same oscillator with…

A: Natural frequency: The number of vibrations executed by a body when it is vibrating freely in one…

Q: A single degree damped vibrating system is formed of a block of mass m = 5 kg, a spring of K = 100…

Q: For the given figure, assume that the cylinder rolls without slipping. Use your favorite method to…

Q: A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given…

A: Given:To find:x(t)

Q: Two mass placed on top of each other have a mass of 20 g each and there is a coefficient of static…

A: At the position of amplitude the restoring spring force will be F=kAand therefore the acceleration…

Q: ) A mass of 1 kg is suspended vertically from a spring and settles stationary at its equilibrium…

Q: X A 1– D.o.F. system is given as shown. Find the equation of motion of the system in terms of the…

A: first of all making free body diagram of the given system , Now, according to newton law, sum of…

Q: mm as shown in Figure 2. If the succeeding maximum positive displ (i) The response of the system.…

Q: An object of mass m = 0.2 kg is hung from a spring whose spring constant is 80 Nm-1. The body is…

A: Given Data Mass, m=0.2Kg b=4 N/m K=80 N/m Ans(A)…

Q: An undamped spring mass system has a mass of 10 kg and a spring stiffness of 2250 N/m. It is excited…

Q: weight of mass 2 kg is placed on a long vertical spring with spring constant k = 20. The damping…

Q: A mass m = 4 kg is attached to both a spring with spring constant k = 197 N/m and a dash-pot with…

A: Mass of the system (m): 4 kgSpring constant (k): 197 N/mDamping coefficient (c): 4 N·s/mInitial…

Q: 1. A small ball is attached to a wall by two identical springs as shown below. If the ball was…

Q: For the mass-damper system at right, the model in terms of velocity is mv + cv = f. The time…

A: Solution: Given Data: mv.+cv=fτ=mc To Find: Depend-ness of the time constant on the damping.

Q: A block attached to a spring, oscillates on a frictionless horizontal surface wi period of 0.3 s.…

Q: system of Volvo articulated dump truck is to be modelled mathematically given the following data:…

Q: A 0.600kg mass oscillates at the end of spring that has a spring constant of 300N/m. the initial…

A: Data given- m = 0.6 kg K = 300 N/m Ai = 0.5 m A1 = 0.350 FD ∝ v FD = -av

Q: Consider a damped mass-spring system with mass 3 kg, spring constant 10 N /m, and damping…

A: Given; The mass of system, m = 3 kg The spring constant, k = 10 N/m The damping coefficient, c = 5…

Q: A spring with an m-kg mass and a damping constant 3 (kg/s) can be held stretched 2.5 meters beyond…

A: The damping constant is The stretched in spring by a force is .

Q: Please keep it in terms of a fraction. It will not take it as a decimal. PLEASE ANSWER ONLY…

Q: The underdamped spring-mass system of m = 120 kg mass, stiffness of k = 3,080 N/m. and damping…

Q: A 2-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is…

A: The mass of block is The spring constant is .The damping constant is .The initial displacement is…

Q: This problem is an example of critically damped harmonic motion. A mass m = 8 kg is attached to both…

Q: A spring with a mass of 1 kg has a spring constant 43 kg/s2. If the spring begins at equilibrium…

Q: The exponential damping factor y of a spring suspension system is one-tenth the criti- cal value. If…

A: Let , the mass attached to spring system be m kg. Given , γ = γc10 , The exponential damping…

Q: Q2) ) A mass of 1 kg is to be supported on a spring having a stiffness of 9800 N/m. The damping…

Q: 3. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no…

Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

A 20 kg object is attached to a spring with spring constant 260
kg/s. It is also attached to a dashpot with damping constant
c = 280 N-sec/m. The object is pushed upwards from equilibrium
with velocity 5 m/s. Find its displacement and time-varying
amplitude for t > 0.
y(t)
The motion in this example is
O overdamped
O underdamped
O critically damped
Consider the same setup above, but now suppose the object is
under the influence of an outside force given by
F(t) = 18 cos(wt).
What value for w will produce the maximum possible amplitude for
the steady state component of the solution?
What is the maximum possible amplitude?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The following mass-and-spring system has stiffness matrix K. For the mks values, find the two natural frequencies of the system and describe its two natural modes of oscillation. m1 m2 k1 k2 k3 x1 x2 K= −k1+k2 k2 k2 −k2+k3 m1=m2=4; k1=8, k2=12, k3=8 Let ω1<ω2 be the two natural frequencies. ω1= ω2= (Type exact answers, using radicals as needed.)
Do not use Ai to Answer, Be sure.
Many experts got me a lot of answers for this question !!!! , can I get the perfect correct answer ?
Q2B. In Figure Q2B, if h=700mm and d = 500mm and each spring has constant k = 600Nm, determine the equation of motion of the mass m. For what value of the mass m will the period of small oscillations be (i) 0.25 s (ii) Infinite Under damped Choral 04pr www Figure Q2B Xu) 20 (om wt +x)
i'll give you multiple votes..hand written plz
For the mechanical system shown, a- Find the equivalent mass, equivalent spring stiffness and equivalent damping coefficient when x (the displacement of the 2 kg block) is used as the generalized coordinate. b- Derive the equation of motion of the system in terms of equivalent system parameters (equivalent mass, equivalent spring stiffness and equivalent damping coefficient). 3000 N/m 2 kg 200 N.s/m /=0.04 kg-m² r = 10 cm 1000 N/m 1 kg I' 400 N.s/m ial
provide the answer with clear explanation and mention what is denoted by the letters which are use in the equations.
4. Derive the equation of motion of the system depicted below. does the gravity affect the damping ratio and the natural frequency? k T m www g
3.5. A spring-mass is excited by a force F, sin ut. At resonance, the amplitude is measured to be 0.58 cm. At 0.80 resonant frequency, the amplitude is measured to be 0.46 cm. Determine the damping factor of the system.
PLs see the question in the attached file.
Please do it now
4) Figure below shows a spring-mass- damper system. The mass is subjected to a steady force of P 2 N. The spring constant k 200 N/m, the mass m 5.2 kg and the damping ratio is f= 12.2 N. sec/m. What is the position of the mass after a sufficiently long time of force application? You may assume that the mass is initially at rest, and the spring at time t = 0 is in its unstretched condition. m k