An object undergoes simple harmonic motion of amplitude A and angular frequency about the equilibrium point

Question:

An object undergoes simple harmonic motion of amplitude A and angular frequency ω about the equilibrium point x = 0. Use energy conservation to show that the speed of the object at the general position x is given by the following expression:

v = ω √A2 - x2

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

Step by Step Answer:

Related Book For book-img-for-question

Physics

ISBN: 978-0321976444

5th edition

Authors: James S. Walker

See More Books

Question Posted: Aug 31, 2017 11:38 AM

See More Questions

A 0.12 kg body undergoes simple harmonic motion of amplitude 8.5 cm and period 0.20 s. (a) What is the magnitude of the maximum force acting on it? (b) If the oscillations are produced by a spring,...
An object undergoes simple harmonic motion with a period T. In the time 3T/2 the object moves through a total distance of 12D. In terms of D, what is the object's amplitude of motion?
A mass on a spring oscillates with simple harmonic motion of amplitude A about the equilibrium position x = 0. Its maximum speed is vmax and its maximum acceleration is amax. (a) What is the speed of...
An important part of the customer service responsibilities of a cable company relates to the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is...
Use Laplace transforms and nodal analysis to find i1 (t) for t > 0 in the network shown in figure. Assume zero initialconditions. 20 ij(t) 6u(t)V 12u(t) V+ 1H (1+ /2
In January 2020, Judd Harrison decides to sell 100 shares in the Widget Company. Since April 2019, no stock dividends had been paid by the company. On the date the stock is sold the market price is...
The automobiles generally utilise batteries having voltage of (a) $6 \mathrm{~V}$ (b) $12 \mathrm{~V}$ (c) $24 \mathrm{~V}$ (d) $28 \mathrm{~V}$
a. The probability that you are dealt pocket aces is 1/221, or 0.00452 to three significant digits. Optional: Verify that probability by applying techniques found in Section P.5 of Module P (Further...
Case study: Pepto Optimality Pareto efficiency, also known as pareto optimality, is an economic state in which resources connot be redistributed to benefit one individual without harming atleast one...
From the data of 46 states in the United States for 1992, we obtained the following results: (08) ln C= 4.30 1.34 ln P + 0.17 ln Y Se=(0.91) (0.32) (0.20) R2= 0.27 Where C= Cigarette consumption...
A mass moves back and forth in simple harmonic motion with amplitude A and period T. (a) In terms of T, how much time does it take for the mass to move through a total distance of 2A? (b) How much...
A physical pendulum consists of a light rod of length L suspended in the middle. A large mass m1 is attached to one end of the rod, and a lighter mass m2 is attached to the other end, as illustrated...
What are weak methods? Identify the main difficulties that led to the disillusion with AI in the early 1970s.
Of the SQL commands introduced in this chapter, which yield result sets, which yield an update count, and which yield neither?
What exactly does it mean that Files.walk yields the results in depth-first order? Are directory children listed before or after parents? Are files listed before directories? Are either listed...
What is the difference between a Connection and a Statement?
Two large multi-specialty medical groups have recently asked you to conduct audits using the BCG matrix. For the first group, your analysis reveals the following distri- bution of services: cash...
Find an example of a non-static generic method in the standard Java library.
Explain why the statement x = 50 is not a legitimate hypothesis.
What is a lobbyist in US? How did this term emerge?
A diffraction grating with a width of 2.0 cm contains 1000 lines/cm across that width. For an incident wavelength of 600nm, what is the smallest wavelength difference this grating can resolve in the...
The D line in the spectrum of sodium is a doublet with wavelengths 589.0 and 589.6 nm. Calculate the minimum number of lines needed in a grating that will resolve this doublet in the second-order...
Light at wavelength 589 nm from a sodium lamp is incident perpendicularly on a grating with 40 000 rulings over width 76 nm, what are the first-order? (a) Dispersion D and (b) Resolving power R, the...
Dollar-Value LIFO On January 1, 2018, Sato Company adopted the dollar-value LIFO method of inventory costing. Sato's ending inventory records appear as follows: Year Current Cost Index 2018 $31,600...
How many standards are included in the ELP accreditation standards? What stands out to you about the different areas? What are the topic areas under administration and leadership? What are the...
What is performance management systems? Do the companies where you (or others you know) have worked used performance management systems rather than performance appraisal systems? If yes, what kind of...

An object undergoes simple harmonic motion of amplitude A and angular frequency about the equilibrium point

Question:

Step by Step Answer:

Picture the Problem A mass is attached to a spring displaced from equilibrium a dis...View the full answer

Physics

Related Video

Students also viewed these Mechanics questions