For a forced vibratory system, the following values are given: m=3 kg, k=50 N/m, c=10 Ns/m,...

Question

Question

For a forced vibratory system, the following values are given: m=3 kg, k=50 N/m, c=10 Ns/m, Fo=140 N, o=1 rad/s. Initial cond

engineering Mechanical-Engineering

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

mnt cutk x = F. sin ut = C - 10 10 & 2550x2 = 2√150 fa-408

Correct amswer

OptionC

Damping factor is a constant it does not have any units.

So option C is correct answer

Answer is correct gurranted fully

Any doubt are welcome in commentbox

Please appreciate if you find anything useful

Thanks in advance

I am always available in commentbox for your concern

Add a comment

Answer 2

Similar Homework Help Questions

For a spring: Initial values: initial displacement, x0 = 3 m initial velocity, v0 = 0...

For a spring: Initial values: initial displacement, x0 = 3 m initial velocity, v0 = 0 m/s mass, m = 100 kg spring constant, k = 100 kg/s^2 Damping Force, Fr = a*v where a is the damping factor At t = 20 s, the amplitude of the oscillation is decreased to 1/2 of the initial Find the frequency, v1 and the damping factor, a
Given an underdamped single-degree-of-freedom system with m 10 kg. c = 20 Ns/m. k = 4000...

Given an underdamped single-degree-of-freedom system with m 10 kg. c = 20 Ns/m. k = 4000 N/m. Assuming zero initial conditions Xo-Xo-0. response of the system to a unit step function f(t) - 1. itcx +Kx) steady-state value of the unit step response.
1. Consider a spring-mass-damper system with equation of motion given by: 2! x!+8x! + 26x =...

1. Consider a spring-mass-damper system with equation of motion given by: 2! x!+8x! + 26x = 0 . i) Compute the solution if the system is given initial conditions x0 = 0 and v0 = -3 m/s j) Compute the solution if the system is given initial conditions x0 =1 m and v0 = −2 m/s k) Compute the solution if the system is given initial conditions x0 = −1 m and v0 = 2 m/s 2. Compute the solution...

QUESTION 31 Forced Undamped system, Find the general response amplitude at the chosen time for the...

QUESTION 31 Forced Undamped system, Find the general response amplitude at the chosen time for the given system parameters: m= 2 kg k = 200 N/m • Initial Conditions: Xo = 0.005 m to = 0.5 • Initial amplitude of the external force, 10 N • Excitation's frequency w 4 rad/sec m Find x(t) t = 10 sec, x(t = 10) = Take Test: Test Part-2 VULUTUIN Find the response amplitude at the chosen time for the given system parameters:...
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a)...

2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency wh...

2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system 2. (30...

Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the s...

Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the spring is stretched 1 m beyond its natural length and given an initial velocity of 1 m/sec back towards its equilibrium position. Find the circular frequency ω, period T, and amplitude A of the motion. (Assume the spring is stretched in the positive direction.) A 7 kg mass is attached to a spring with constant k 112 N m. Given...
A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped...

A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped when moving in the vertical direction by a damping force Famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. If y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period?...
Spring mass damper system with forced response, the forced system given by the equation For damping...

Spring mass damper system with forced response, the forced system given by the equation For damping factor:E-0.1 ; mass; m-| kg: stiffness of spring; k-100 Nm; f-| 00 N; ω Zun; initial condition: x (0)-2 cms; r(0) = 0. fsincot Task Marks 1. Write down the reduced equation into 2first orderns Hand written equations differential equations 2. Rearrange equation (1) with the following generalized equation 250, x+osinor calculations 3. Calculate the value of c calculations Hand calculations 4. Using the...

Consider the forced vibration in Figure 1. We mass, m Figure 1: Forced Vibration 1. Use...

Consider the forced vibration in Figure 1. We mass, m Figure 1: Forced Vibration 1. Use a free-body diagram and apply Newton's 2nd Law to show that the upward displacement of the mass, r(t), can be modelled with the ODE da da mdt2 + cat + kz = F(t) where k is the spring coefficient and c is the damping coefficient. = 2 kg, c = For the remainder of the questions, use the following values: m 8 Ns/m, k...

For a forced vibratory system, the following values are given: m=3 kg, k=50 N/m, c=10 Ns/m,...

Homework Answers

Add Answer to:
For a forced vibratory system, the following values are given: m=3 kg, k=50 N/m, c=10 Ns/m,...

Post as a guest

Earn Coins

For a spring: Initial values: initial displacement, x0 = 3 m initial velocity, v0 = 0...

Given an underdamped single-degree-of-freedom system with m 10 kg. c = 20 Ns/m. k = 4000...

1. Consider a spring-mass-damper system with equation of motion given by: 2! x!+8x! + 26x =...

QUESTION 31 Forced Undamped system, Find the general response amplitude at the chosen time for the...

2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a)...

2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency wh...

Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the s...

A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped...

Spring mass damper system with forced response, the forced system given by the equation For damping...

Consider the forced vibration in Figure 1. We mass, m Figure 1: Forced Vibration 1. Use...

For a forced vibratory system, the following values are given: m=3 kg, k=50 N/m, c=10 Ns/m,...

Homework Answers

Add Answer to: For a forced vibratory system, the following values are given: m=3 kg, k=50 N/m, c=10 Ns/m,...

Post as a guest

Earn Coins

Add Answer to:
For a forced vibratory system, the following values are given: m=3 kg, k=50 N/m, c=10 Ns/m,...