If simple harmonic motion is described by x = (2/2)sin(2t + ), the phase angle is
Question:
If simple harmonic motion is described by x = (√2/2)sin(2t + ϕ), the phase angle ϕ is ______ when the initial conditions x(0) = -1/2 and x'(0) = 1.
Answer problem without referring back to the text. Fill in the blank or answer true/false.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
The simple harmonic motion is given by 1 Differentiating w...View the full answer
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
Question Posted:
Related Video
simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. The time interval of each complete vibration is the same
Students also viewed these Mathematics questions
-
One simple harmonic motion is described by a sine function, y = A sin (wt), and another is described by a cosine function, y = A cos(wt). Discuss the differences in their initial position, velocity,...
-
1. A ________ measures the acute angle that a path or line of sight makes with a fixed north-south line. 2. A point that moves on a coordinate line is in simple ________ ________ when its distance d...
-
In Exercises 1-2, for the simple harmonic motion described by the trigonometric function, find (a) the maximum displacement, (b)the frequency, (c)the value of d when t = 5, and (d) the least positive...
-
Solve the equation symbolically. Then solve the related inequality. |2.1x0.7| = 2.4, 2.1x -0.7 2.4
-
Discuss the following proposition: Textile mills used to generate thousands of jobs in the southeastern part of the United States, but import competition has caused most of the mills to shut down....
-
A 56-year old man whose wife had cancer applied for a scheduler position. He had held this job previously before leaving to work elsewhere. A 40-year-old man was hired instead. As a former scheduler,...
-
A single cylinder, four stroke cycle oil engine is fitted with a rope brake. The diameter of the brake wheel is \(600 \mathrm{~mm}\) and rope diameter is \(26 \mathrm{~mm}\). The dead load on the...
-
Harold H. Heidingsfelder signed a credit agreement as vice president of J. O. H. Construction Co. for a line of credit with Pelican Plumbing Co. The credit agreement contained the following language:...
-
You have a light spring which obeys Hooke's law. This spring stretches 2.88 cm vertically when a 2.30 kg object is suspended from it. Determine the following. (a)the force constant of the spring (in...
-
There is a lottery with n coupons and n people take part in it. Each person picks exactly one coupon. Coupons are numbered consecutively from 1 to n, n being the maximum ticket number. The winner of...
-
At critical damping any increase in damping will result in an ______ system. Answer problem without referring back to the text. Fill in the blank or answer true/false.
-
In problem the eigenvalues and eigenfunctions of the boundary-value problem y'' + y = 0, y'(0) = 0, y'() = 0 are n = n 2 , n = 0, 1, 2, . . . , and y = cos nx, respectively. Fill in the blanks. A...
-
You were sitting in the school cafeteria yesterday, and a young man from your marketing class, whom you dont know well, asked if he could sit down. He then started telling you about this very cool...
-
As Health care administrators and advocates of patients how do we ensure that care is not substandard based on assumptions? Why do you think, no one intervened and advocated for Henrietta Lacks? ...
-
An annually coupon-paying bond is currently yielding 5%. What would have to be comparable yields on semi-annually and quarterly paying bonds?
-
Advance Inc. manufactures beach umbrellas and reclining beach chairs. Due to unseasonably warm weather, Advance received a large order for 400 umbrellas and 2,200 chairs. Each umbrella sells for $48,...
-
You are creating a Sales order for a customer. The customer wants to observe how prices change as quantities are adjusted. You need to provide an overview of the different price systems available for...
-
Ned needs to produce more of his two products in order to increase his net income and has found a way to increase the limited resource, machine hours. He has two products, hammers and screwdrivers.....
-
The notes are an important part of a company's financial statements, giving valuable details that would clutter the tabular data presented in the statements. This problem will help you learn how to...
-
What are the principal alloying elements in SAE 4340 steel?
-
(a) By inspection find a one-parameter family of solutions of the differential equation xy' = y. Verify that each member of the family is a solution of the initial-value problem xy' = y, y(0) = 0....
-
(a) Verify that y = tan (x + c) is a one-parameter family of solutions of the differential equation y' = 1 + y 2 . (b) Since f (x, y) = 1 + y 2 and f/y = 2y are continuous everywhere, the region R in...
-
(a) Verify that y = -1 / (x + c) is a one-parameter family of solutions of the differential equation y' = y 2 . (b) Since f (x, y) = y 2 and Ïf/Ïy = 2y are continuous everywhere, the region...
-
8. A loan is being repaid with a series of payments at the end of each quarter for five years. If the amount of principal in the third payment is $100, find the amount of principal in the last five...
-
If you issue 1000$ of debt and pay it out as dividends, how does it impact your EV?
-
What are APR *and* APY rates of investment X that earns 0.2% per week, compounded weekly? You can invest (that is, 'lend') for one year either at the rate X described above, or, alternatively, at the...
Study smarter with the SolutionInn App