Q.3A/ A- Answer both True-False sub-questions:1. The displacement at any time (t) for forced vibration in the absenceof a damping force and under a resonance case (wo = w ), can bedetermined from the following equation:%3Dx(t) = c1 cos Wot+ c2 sin wot +t sin wot2mwoFod²xdx+ 4x 0 is critically damped2. The system-3.dt2dt

Answered: Image /qna-images/answer/8f747079-8d6d-4aa1-8e2e-7d3a9afbd416.jpg

Answered: Q.3A/ A- Answer both True-False…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Similar questions

EXERCISE 2.2 An automobile follows a circular road whose radius is 50 m. Let x and y respectively denote the eastern and northern directions, with origin at the center of the circle. Suppose the vehicle starts from rest at x = 50 m heading north, and its speed depends on the distance s it travels according to v=0.5s-0.0025s², where s is measured in meters and v is in meters per second. It is known that the tires will begin to skid when the total acceleration of the vehicle is 0.6g. Where will the automobile be and how fast will it be going when it begins to skid? Describe the position in terms of the angle of the radial line relative to the x axis.
3.) Imagine a string that is fixed at both ends (for example, a guitar string). When plucked, the string forms a standing wave. The displacement, u(x, t), of the string varies with position x and time t. Suppose a,t) = 2sin(xx)sin() for 0 0. At a fixed point in time, the string forms a wave on 10, 11. Alternatively, if you focus on a point on the string (fix a value of r), that point oscillates up and down in time. a.) What is the period of the motion in time? За.) du 3b.) dt b.) Find the rate of change of the displacement with respect to time at a constant position (which is the vertical velocity of a point on the string.) 3c.) x = c.) At a fixed time, what point on the string is moving fastest? 3d.) t = d.) At a fixed position on the string, when is the string moving fastest? du 3e.) e.) Find the rate of change of displacement with respect to position at a constant time (which is the slope of the string.) 3f.) r =, f.) At a fixed time, where is the slope of the string the greatest?
Using the Bode plot shown below, estimate the frequency response to the following inputs: a) u(t)= 3 cos 4t b) u(t) 0.5 sin 40t c) u(t)= 10 cos 400t After doing the above, derive the transfer function for the system that has this Bode plot. Magnitude (dB) Phase (degrees) -20 -30 -40 -50 10⁰ 0 -15 -30 -45 -60 -75 -90 100 10¹ 101 Frequency 10² 10² 103 103
2.11 Let A = p cos 9 ap + pz2 sin az (a) Transform A into rectangular coordinates and calculate its magnitude at point (3, -4 , 0). (b) Transform A into spherical system and calculate its magnitude at point (3, —4, 0).
Find dy at the point (5, -1, 5) where z is defined implicitly by the equation y°z + x cos z = z sin a.
Evaluate the following derivatives: a) d V1 + 4 + t° dt dx b) #CA 10 d dt dz 14 + 1 sin(z) c) d / V1 +P dt dx + Drag and drop an image or PDF file or click to browse...
A cyclist is travelling in a straight path at a constant speed along a dirt road with a button stuck to the outside of one of their wheels. The movement of the button (as viewed from the side) can be described using the equations of a cycloid, — r(t — sin t), у %3 г(1 — сo st) x = where t represents the angle through which the wheel has rotated and r represents the radius of the wheel. (a) Every time the button touches the ground, it leaves a mark on the dirt. If the marks are 64T cm apart, what is the radius of the tire wheel? (b) What value(s) of t correspond to the button touching the ground? dx (c) Show that when t = 2T, we have 0. Does this mean that the cyclist is stopped? Why or why not?
A golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 128 ft/sec. Using the helpful parametric models for projectile motion answer the following questions. x (t) = vo cos(0)t y (t) = hovo sin(0)t - 16t² a.) How long is the ball in the air (hang time)? b.) What is the maximum height of the ball? c.) How far, horizontally, does the ball travel in the air? (round to the nearest foot)
(4) Are the following equations exact? solve theinitial Value 8- a) 3y²dx+XdY=o CyCI) =t), b) 2xydy=(x²+Ye)dx (YC1)=2), c) [Cx+)eX-e°]dx = xe°dy (Ya)=0),)esinzxsinhrdx- Cosex Cosh ydy=o (Y(O) =1) . (ANS.4): a) No,/Blnlx\+2), b) No, Y= Vx3+3x {use V=Y/x), c) Yes, Cee)x=e-l,d) Yes, Sinhy COsex=sinhl. Lu) t

Recommended textbooks for you

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS