(m)xThe given figure shows the response of a system to a step input of magnitude 1000 N. The equation of motion ismxcxkx = f (t)Estimate the values of m, c, and k.0.040.0360.0320.0280.0240.020.0160.0120.0080.00400 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1Time (s)1.1 1.2 1.3 1.4The damping ratio is determined to beThe natural frequency is determined to berad/s.The value of k is determined to beN/m.The value of m is determined to beThe value of c is determined to be [kg.N-s/m.

From the given graph, the steady state response of the system is at,xss = 0.025 m (approximately)The…

x (m) The given figure shows the response of a system to a step input of magnitude 1000 N. The equation of motion is mä + cx+kx = f (t) Estimate the values of m, c, and k. 0.04 0.036 0.032 0.028 0.024 0.02 0.016 0.012 0.008 0.004 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 Time (s) The damping ratio is determined to be [ The natural frequency is determined to be rad/s. N/m. The value of k is determined to be The value of m is determined to be kg. The value of c is determined to be N-s/m.

x (m) The given figure shows the response of a system to a step input of magnitude 1000 N. The equation of motion is mä + cx+kx = f (t) Estimate the values of m, c, and k. 0.04 0.036 0.032 0.028 0.024 0.02 0.016 0.012 0.008 0.004 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 Time (s) The damping ratio is determined to be [ The natural frequency is determined to be rad/s. N/m. The value of k is determined to be The value of m is determined to be kg. The value of c is determined to be N-s/m.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Given the quantities a = 4.5 m, b = 1.4 s, c = 43 m/s, what is the value of the quantity d 워요 -?

A: Given:- The quantities a = 4.5 m b= 1.4 s c= 43 m/s Find:- The value of quantity d ?

Q: A force F = 53 N is applied to an object with mass m = 2.1 kg. What is the magnitude of the…

A: Given data: F = 53 N m = 2.1 kg Need to determine the magnitude of the acceleration of the object in…

Q: Question 2: Answer the following questions based on the graph given below Length vs Time^2 5 4.5 4…

Q: The graph shows the speed of a car as a function of time. speed (m/s) 6 5 3 2 1 0 3 time (s) What is…

A: Given The given graph of speed vs time shown below.

Q: Question 1: The magnitude of the friction force acting on a particle is given by f = -bv². Here, b…

A: The equation for the friction force is given by, f=-bv2 The right hand side and the left hand side…

Q: Consider two vectors, A = 16.1 m at 44.0°, and B (-9.70î + 3.70j) m. Determine the x and y…

Q: question number 41

A: The given equation of motion corresponds to Newton’s equation of motion.

Q: Following are 6 examples of incorrect equations. Below each one, explain what is wrong with it. (A)…

A: We will explain why the equations are incorrect.

Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A: a)Resolve vector A into respective x and y components as,

Q: On the v(t) graph, what does the y-intercept represent?

A: A velocity-time graph will show the speed and direction of an object in motion over a specified…

Q: X-t plot 140 120 100 y=t + 3t + 2 80 60 40 20 10 12 t (s) The x-t graph of a motion is given. The…

A: The given position, y=t2+3t+2 The velocity, v=dydt=ddtt2+3t+2=2t+3

Q: The acceleration of an object moving through a viscous fluid (like honey) is a = -bv / m, where v is…

A: Option a.) Kg/s

Q: The force acting on an object is given by F, = (6x - 10) N, where x is in meters. (a) Choose the…

Q: The instantaneous velocity at time t = 1 s is m/s. The instantaneous velocity at time t = 6 s is…

A: Given data: The velocity vs time graph Required: The instantaneous velocity at t=1s, 6s and 7s

Q: A vector→AA→has a magnitude of 44.0 m and points in a direction 20.0° below the positive x-axis. A…

A: The vector A is in the fourth quadrant since it is 20o below positive x axis. In the fourth…

Q: For 0 < t < 2, v(t) = t + 1. For 2 < t < 4, v(t) = -t/2 +4, sketch a graph of x(t)…

A: Given:

Q: Data number y t t2 1 10m 4.28s 18.31s 2 20m 4.42s 16.32s 3 30m 3.78s 14.28s…

A: Plot the distance y(t) along y-axis and t2 along x-axis.

Q: The polar coordinates of a certain point are (r = 5.45 cm, 0 = 210°). (a) Find its Cartesian…

Q: A particle starts from the origin of a three-dimensional coordinate system and undergoes two…

A: Given data: Particle starts from the origin r1→= 2.0mi^ + 1.0mj^+ 3.0mk^ r2→=−1.0mi^ − 3.0mj^ −…

Q: GIVEN: A = 3.0i + 4.0j + 2.0k B = 5.0i + 2.0j…

A: Given: A = 3.0i + 4.0j + 2.0k B = 5.0i + 2.0j C = 2.0i + 3.0j

Q: 27. Review. A 5.75-kg object passes through the origin at time t = 0 such that its x component of…

Q: 8.0x10³ 2.0×105 0 1 x 10-² 0 4x 10-² O4x10² O 2x107 O 8x10-8 Question 2 The distance between the…

A: a) For Q2. The distance between the pitcher and batter in professional is 18 m.The pitcher throws…

Q: What is the sum, expressed in the correct number of significant figures, of the measured values 21.4…

A: The objective of the question is to find the sum of the given measurements and express it in the…

Q: Equations 5 and 6 are going to be used to describe projectile motion in our experiment. Which of the…

A: Given:

Q: The polar coordinates of a certain point are (r = 2.00 cm, θ = 234°). (a) Find its Cartesian…

Q: 2 Dante plays basketball. After 3 games, he had scored 25 points and after 7 games he had scored 60…

A: Solution: Let's first calculate the number of points Dante scores per game on average. To do this,…

Q: magnitude of the resultant

A: A = i12-j37+k58 B = i5+j30-k42 I, j,k are unit vectors along the x, y and z axis. The resultant…

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

(m)
x
The given figure shows the response of a system to a step input of magnitude 1000 N. The equation of motion is
mxcxkx = f (t)
Estimate the values of m, c, and k.
0.04
0.036
0.032
0.028
0.024
0.02
0.016
0.012
0.008
0.004
0
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Time (s)
1.1 1.2 1.3 1.4
The damping ratio is determined to be
The natural frequency is determined to be
rad/s.
The value of k is determined to be
N/m.
The value of m is determined to be
The value of c is determined to be [
kg.
N-s/m.

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: Value of k, damping ratio

VIEW

Step 2: Values of Natural frequency, m and c

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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, physics and related others by exploring similar questions and additional content below.

Similar questions

Using the following graph and data table please find: horizontal & vertical velocity, and the velocity at 0.155 sec and 0.255 sec (w) x (w) A Time (sec) 0.000 0.033 0.066 0.100 0.133 0.166 0.200 0.233 1.20 1.0 0.8 0.6 0.4 0.2 0 0 0.266 0.300 0.333 0.366 0.400 0.05 0.10 ● x (m) 1.200 1.141 1.079 1.017 0.959 0.899 0.837 0.779 0.717 0.657 0.601 0.546 0.489 0.15 0.20 time (s) 0.25 ... y (m) 1.051 1.040 1.017 0.980 0.933 0.878 0.806 0.730 0.636 0.536 0.416 0.303 0.174 0.30 ● 0.35 ● 0.40
A guided missile is propelled from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation y = 464x − 16x2. Find the object's maximum height. Answer in units
A point particle of mass m = 1.8 kg moves according to the position function: r(t) = xtai + ytbj + ztck, where t denotes time and x, y, z, a, b, and c are constants such that the exponents are positive integers and the position function has the dimension of length. Part (a) We can write the particle’s velocity function in the form v(t) = ntdi + otej + ptgk. Enter an expression for n in terms of x, y, z, a, b, and c. Part (b) The particle’s velocity function will have the form v(t) = ntdi + otej + ptgk. Enter an expression for d in terms of x, y, z, a, b, and c. Part (c) Here is a set of parameter values for the motion of the particle: m = 1.8 kg, x = 1.8 m/s0, y = 2.4 m/s1, z = 0.15 m/s2, a = 0, b = 1, c = 2. Calculate the x-component of the particle’s angular momentum, in units of kg˙m2/s, about the origin at time t = 1 s. Part (d) Use the same set of parameter values (m = 1.8 kg, x = 1.8 m/s0, y = 2.4 m/s1, z = 0.15 m/s2, a = 0, b = 1, c = 2) to calculate the y-component of…
Consider the motion described by the figure below. (a) Find the displacement at t = 12.4 s(b) Find the displacement at t = 12.9 s(c) Find the displacement at t = 16.5 s
The velocity of a toy car moving along as straight path is shown in the figure. Match the numbers according to the graph. Assume the numbers in the choices are followed by proper units (not shown), i.e., distance in [m], speed or velocity in [m/s], and acceleration in [m/s^2].
A particle of mass m has a time-dependent position vector r(t) = (Rcos(ωt),Rsin(ωt),αt) in Cartesian coordinates, where R, ω and α are positive constants. What are the physical dimensions of R, ω and α? Show that the speed of the particle is constant. Does it mean that the acceleration is zero? Justify.
3.1
Part (a) Do this for the range r > R. E = _____ Part (b) Do this for the range r < R. E = _____
The polar coordinates of a certain point are (r = 4.35 cm, 8 = 190°). (a) Find its Cartesian coordinates x and y. X = cm y = cm (b) Find the polar coordinates of the points with Cartesian coordinates (-x, y). r = cm (c) Find the polar coordinates of the points with Cartesian coordinates (-2x, -2y). r = cm (d) Find the polar coordinates of the points with Cartesian coordinates (3x, -3y). r = cm