The differential equation s(t) = -B 2 s(t) approximately describes the motion of a pendulum, known as

Question:

The differential equation s″(t) = -B²s(t) approximately describes the motion of a pendulum, known as simple harmonic motion. Verify that s(t) = A cos(Bt + C) satisfies this differential equation.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus With Applications

ISBN: 9780135871348

12th Edition

Authors: Margaret L. Lial

See More Books

Question Posted: Jan 26, 2023 03:42 AM

See More Questions

A simple pendulum undergoes simple harmonic motion when is small. Is the motion periodic when is large? How does the period of motion change as increases?
The motion of a simple pendulum is approximately SHM only if the amplitude is small. Consider a simple pendulum that is released from a horizontal position ((i = 90 in Fig. 10.22). (a) Using...
A diving board oscillates with simple harmonic motion of frequency 1.5 cycles per sound. What is the maximum amplitude with which the end of the board can vibrate in order that a pebble placed there...
In the figure below, a square of edge lengths is formed by four spheres of masses, m, M, m3, and m4. What is the x component and the y component of the net gravitational force from them on a central...
Visit a manufacturer or service organization and critique their facility design. What are the advantages and disadvantages? How does the layout affect process flows, customer service, efficiency, and...
Evan Company received 200 shares of its $\$ 200$ stated value common stock on December 1, 1998, as a donation from a stockholder. On December 15, 1998, it reissued the stock for $\$ 62,400$ cash....
What are the different ways of connecting to the Internet and what is the advantage for each? LO.1
Petty Cash Mc Mann, Inc. decided to establish a petty cash fund to help ensure internal control over its small cash expenditures. The following information is available for the month of April. 1. On...
Wildhorse Co. uses a perpetual inventory system and both an accounts receivable and an accounts payable subsidiary ledger Balances related to both the general ledger and the subsidiary ledgers for...
Your firm represents Amanda and Sam Baker, grandparents of two year old Brian Baker. Brian was recently injured in a home accident. The two year old stuck a hairpin into an electrical outlet and was...
Before Gerardus Mercator designed his map of the world in 1569, sailors who traveled in a fixed compass direction could follow a straight line on a map only over short distances. Over long distances,...
A proud father is attempting to take a picture of his daughters while they are riding on a merry-goround. Horses on this particular ride move up and down as the ride progresses according to the...
In 2008, the price of gasoline rose to over $4.00 per gallon, and diesel climbed to more than $5.00 per gallon. At the same time there was a presidential election in which this development became one...
Hey i need the following pages done ASAP.Please and thank you D2L Lesson 1: Electrostatics - Physics X L1Electrostatics X Course Hero +...
Bed & Bath, a retailing company, has two departmentsHardware and Linens. The companys most recent monthly contribution format income statement follows: Department Total Hardware Linens Sales $...
Use the formula g'(a) = lim. [(g(x)-g(a) )/ (x-a) ] x-->a to find g'(x) for g(x) = srqrt(x+7). Find the equation fo the tangrnt line to g(x) at x =-5
As shown in the figure below, an incompressible liquid flows steadily and vertically upward in a circular cross-sectional pipe. At section (1), the velocity profile over the cross-sectional area is...
writE a paper on teamwork 1. Share an experience with working on teamwork during your academic journey or on the job. 2. Share both positive and negative experiences. 3. What are your suggestions...
Jayne recently purchased a high-speed copier for her home office and wants to purchase a service contract on the copier. She is considering two sources for the service contract. Ace Office charges...
Activator rod AB exerts on crank BCD a force P directed along line AB. Knowing that P must have a 100-N component perpendicular to arm BC of the crank, determine (a) The magnitude of the force P, (b)...
Suppose you did not control for age in the preceding analyses. Calculate the crude (unadjusted for age) odds ratio in favor of bacteriuria for OC users vs. non-OC users? Refer to Table 13.8. Risk of...
Is the association between bacteriuria and OC use comparable among different age groups? Why or why not? Refer to Table 13.8. Risk of bacteriuria among OC users and nonusers % with bacteriuria Non-OC...
Provide a 95% CI for the OR estimate in Problem 13.10? Refer to Table 13.8. Risk of bacteriuria among OC users and nonusers % with bacteriuria Non-OC users OC users Age group 281 1.2 5.6 84 3.2 4.0...
Fig 1. Rolling a 4 on a D4 A four sided die (D4), shaped like a pyramid (or tetrahedron), has 4 flat surfaces opposite four corner points. A number (1, 2, 3, or 4) appears close to the edge of each...
I just need help with question #4 please! Thank you! Windsor Manufacturing uses MRP to schedule its production. Below is the Bill of Material (BOM) for Product A. The quantity needed of the part...
(25) Suppose that we have an economy consisting of two farmers, Cornelius and Wheaton, who unsurprisingly farm corn c and wheat w, respectively. Assume that both farmers produce their crop of choice...

The differential equation s(t) = -B 2 s(t) approximately describes the motion of a pendulum, known as

Question:

Step by Step Answer:

st AcosBt C st AsinBt C ...View the full answer

Calculus With Applications

Students also viewed these Mathematics questions