A simple pendulum of length L is released from rest from an angle f0. (a) Assuming that
Question:
A simple pendulum of length L is released from rest from an angle f0.
(a) Assuming that the pendulum undergoes simple harmonic motion, find its speed as it passes through f = 0.
(b) Using the conservation of energy, find this speed exactly.
(c) Show that your results for (a) and (b) are the same when f0 is small.
(d) Find the difference in your results for f0 = 0.20 rad and L = 1 m.
Step by Step Answer:
a 0 cos t v L ddt gL 12 v L 0 sin t v max L 0 0 gL ...View the full answer
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
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 Oscillations Mechanical Waves questions
-
The period of a simple pendulum of length L feet is given by T = 2 L/g seconds. We assume that g, the acceleration due to gravity on (or very near) the surface of the earth, is 32 feet per second per...
-
The 1.2-kg bob of a simple pendulum of length l = 600 mm is suspended from a 1.4-kg collar C. Knowing that the collar is acted upon by a periodic force P = Pm sin ft, where Pm = 0.5N and f = 3rad/s,...
-
The bob of a simple pendulum of length l = 40 in. is released from rest when = +5?. Assuming simple harmonic motion, determine 1.6 s after release (a) The angle , (b) The magnitudes of the velocity...
-
You are the CEO of Green Paper Inc., a producer of high-end printing paper with an emphasis on environmentally friendly "green" production methods. One of your employees has proposed a significant...
-
Purchasing-power parity holds between the nations of Ectenia and Wiknam, where the only commodity is Spam. a. In 2015, a can of Spam costs 4 dollars in Ectenia and 24 pesos in Wiknam. What is the...
-
Find the harmonic motion (4) that starts from y 0 with initial velocity v 0 . Graph or sketch the solutions for 0 = , y 0 = 1, and various v 0 of your choice on common axes. At what t-values do all...
-
Shawn Bradley Company changed from straight-line depreciation to double-declining balance depreciation at the beginning of 2004. The plant assets originally cost $1,500,000 in 2002. Using...
-
Record the following transactions of Fashion Park in a general journal. Fashion Park must charge 8 percent sales tax on all sales. DATE TRANSACTIONS 2019 April 2 Sold merchandise for cash, $2,500...
-
Check my work mode : This shows what is correct or incorreg Compute the NPV for Project M if the appropriate cost of capital is 8 perc your final answer to 2 decimal places.) Project M Time: Cash...
-
MY Autobody's adjusted trial balance on December 31, 2023, appears in the work sheet as follows: No 101 Cash Shop supplies Account 124 128 Prepaid insurance 167 Equipment 168 Accumulated...
-
A simple pendulum of length L is attached to a cart that slides without friction down a plane inclined at angle ? with the horizontal as shown (Figure). Find the period of oscillation of the pendulum...
-
A thin disk of mass 5 kg and radius 20 cm is suspended by a horizontal axis perpendicular to the disk through its rim. The disk is displaced slightly from equilibrium and released. Find the period of...
-
A person deposits money into an account at a continuous rate of $6000 a year, and the account earns interest at a continuous rate of 7% per year. (a) Write a differential equation for the balance in...
-
What Is Chemical Energy? Definition and Examples
-
The fundamental concern of computer science is determining what can and cannot be automated. The earliest foundations of what would become computer science predate the invention of the modern digital...
-
History of the United States
-
United States History Pearl Harbor attack
-
Because of the popularity of National Football League (NFL) games, tickets can be difficult to acquire if you are not a season ticket holder. Many people buy NFL tickets on the secondary market when...
-
Organizations are increasing their use of personality tests to screen job applicants. What are some of the advantages and disadvantages of this approach? What can managers do to avoid some of the...
-
In this problem, you will verify statements made at the end of the power losses for Example 20.10. (a) What current is needed to transmit 100 MW of power at a voltage of 25.0 kV? (b) Find the power...
-
An entertainer juggles balls while doing other activities. In one act, she throws a ball vertically upward, and while it is in the air, she runs to and from a table 5.50 m away at a constant speed of...
-
Visitors at an amusement park watch divers step off a platform 21.3 m (70 ft) above a pool of water. According to the announcer, the divers enter the water at a speed of 56 mi/h (25 m/s). Air...
-
A flowerpot falls off a windowsill and falls past the window below. You may ignore air resistance. It takes the pot 0.420 s to pass this window, which is 1.90 m high. How far is the top of the window...
-
The Regal Cycle Company manufactures three types of bicyclesa dirt bike, a mountain bike, and a racing bike. Data on sales and expenses for the past quarter follow: Total Dirt Bikes Mountain Bikes...
-
?? A local college is deciding whether to conduct a campus beautification initiative that would imvolve various projects, such as planting trees and remodeling bulidings, to make the campus more...
-
A company has net income of $196,000, a profit margin of 9.7 percent, and an accounts receivable balance of $135,370. Assuming 70 percent of sales are on credit, what is the companys days sales in...
Study smarter with the SolutionInn App