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...
-
Two years ago, Corey Jemison bought a truck for $35,000 to offer delivery services. Corey earns $40,000 a year operating as an independent trucker. He has an opportunity to sell his truck for $18,750...
-
An internal combustion engine has a rotating unbalance of \(1.0 \mathrm{~kg}-\mathrm{m}\) and operates between \(800 \mathrm{rpm}\) and \(2000 \mathrm{rpm}\). When attached directly to the floor, it...
-
Miracle Printers (MP) manufactures printers. Assume that MP recently paid $600,000 for a patent on a new laser printer. Although it gives legal protection for 20 years, the patent is expected to...
-
Find current news article (within the last year) which discusses lean logistics in the global economy. Provide a brief (word summary of that article). Highlight how the concepts covered within that...
-
Boston's famous Limoges Restaurant is open 24 hours a day. Servers report for duty at 3 A.M., 7 A.M., 11 A.M, 3 P.M., 7 P.M., or 11 P.M., and each works an 8-hour shift. The following table shows the...
-
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...
-
Suppose that a savings and loan association has decided to invest in mortgage-backed securities and is considering the following two securities: (i) a Freddie Mac pass-through security with a WAM of...
-
Your college professors take on what kind of sales role when they select books for their class? a. Order taker b. Order influencer c. Support personnel d. None of the above
-
What is the funds Treynor ratio?
-
CIM refers to using computer software to create two- or three-dimensional models of parts or devices. True or False
-
American Idol judges often have on their desks tall glasses embossed with Coca-Colas logo. This advertising strategy is known as a. product placement. b. viral marketing. c. an infomercial. d. a...
-
What is the settlement method for the futures contract?
-
An auditing team fails to detect a case of embezzlement that has gone on for several months at a bank. How might team members use hindsight to justify their faulty decisions?
-
What are the key dimensions of critical thinking 2. Watch the NBC Learn video on Diet Scams. What types of claims are made in this video Are they valid Elaborate on your responses. Discuss this video...
-
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...
-
What is Preferred Stock? Discuss the characteristics of Preferred Stock over Common Stock. MINIMUM ONE PAGE REQUIREMENT. 2. What are Stock Options? Discuss the TWO primary reasons why corporations...
-
If your organization was given $10,000 for digital marketing for a quarter (3 months), how would you spend it?
-
For the following function, list the intervals where f(x) is concave up and where it is concave down. Find any points of inflection. Do NOT use a graph to answer the question. f(x)=3x+2x-12x+5
Study smarter with the SolutionInn App