A thin circular hoop is suspended from a knife edge. Its rotational inertia about the rotation axis

Question:

A thin circular hoop is suspended from a knife edge. Its rotational inertia about the rotation axis (along the knife) is I = 2 mr2. Show that it oscillates with the same frequency as a simple pendulum of length equal to the diameter of the hoop?

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

Step by Step Answer:

Related Book For book-img-for-question

Physics

ISBN: 978-0077339685

2nd edition

Authors: Alan Giambattista, Betty Richardson, Robert Richardson

See More Books

Question Posted: Jun 06, 2016 05:13 AM

See More Questions

A circular hoop is suspended in a horizontal plane by three strings, each of length l, which are attached symmetrically to the hoop and are connected to fixed points lying in a plane above the hoop....
Use integration to determine the moment of inertia of a thin circular hoop of radius R and mass M for rotation about a diameter. Check your answer by referring to Table 9-1. Table 9-1 Moments of...
A thin flat plate 15 cm square is suspended from a balance into a uniformly flowing stream of engine oil in such a way that the oil flows parallel to and along both surfaces of the plate. The total...
a. An autoregressive model is given by: Yt = 20.58 + 0.046 yt-1 + 0.01Yt-2 where Y, = sales of a product. Explain the meaning of the terms in this autoregressive model. b. Write the expressions for...
Richard Campfield owns an auto-glass repair shop and holds fourteen patents for processes to repair or prevent windshield cracks. Although industry practice is to replace, not repair, windshields...
Go to http://www.shodor.org/interactivate/activities/piechart/. Prepare a report explaining how the information helps you to better understand pie charts.
Suppose interest rates on residential mortgages of equal risk were 7 percent in California and 9 percent in New York. Could this differential persist? What forces might tend to equalize rates? Would...
For each of the following situations, explain how risk of material misstatement should be assessed and what effect that assessment will have on detection risk. a. Johnson, Inc., is a fast- growing...
Prepared from a situation suggested by Professor John W. Hardy.) Lone Star Meat Packers is a major processor of beef and other meat products. The company has a large amount of T-bone steak on hand,...
Paper Corp. purchased 70% of the outstanding shares of Sand Ltd. on January 1, Year 2, at a cost of $84,000. Paper has always used the equity method to account for its investments. On January 1, Year...
A pendulum of length 120 cm swings with an amplitude of 2.0 cm. Its mechanical energy is 5.0 mJ. What is the mechanical energy of the same pendulum when it swings with an amplitude of 3.0 cm?
(a) What is the energy of a pendulum (L = 1.0 m, m = 0.50 kg) oscillating with an amplitude of 5.0 cm? (b) The pendulum's energy loss (due to damping) is replaced in a clock by allowing a 2.0-kg mass...
How does the origin of the Himalayas differ from that of the oceanic mountains that constitute the Mid-Atlantic Ridge?
Case Study : While it might be easy to see the negative effects on the environment from car emissions or the waste we produce, fewer people think about the effects of discarded clothes on the...
CompanyWeek 8 Assignment - Financial Statement Analysis Overview In this assignment, you will take your work with financial statements to the next level. You will analyze financial statements similar...
In Exercises 9-12, assume that 100 births are randomly selected. Use subjective judgment to describe the given number of girls as (a) significantly low, (b) significantly high, or (c) neither...
Which of the following is not included in the cash flow statement? a. Cash from short-term investments b. Cash from operations c. Cash from the balance sheet d. Cash from capital financing Which of...
Case Study Chapter 13B Pharm - Saved Case Study Chapter 13 Central Nervous System Stimulants and Related Drugs Nancy has been unsuccessful in preventing migraine headaches and has been prescribed a...
Create a list of five practical and free precautions you can take to protect your Social Security number.
As of January 1, 2018, Room Designs, Inc. had a balance of $9,900 in Cash, $3,500 in Common Stock, and $6,400 in Retained Earnings. These were the only accounts with balances in the ledger on January...
You look down at a coin that lies at the bottom of a pool of liquid of depth d and index of refraction n (Figure). Because you view with two eyes, which intercept different rays of light from the...
AS Prove that if a plane mirror is rotated through an angle a, the reflected beam is rotated through an angle 2a. Show that this result is reasonable for a = 45o.
An object is 30.0 cm from a spherical mirror, along the mirror's central axis. The mirror produces an inverted image with a lateral magnification of absolute value 0.500. What is the focal length of...
Discuss why it is important for company managers to understand and use social capital knowledge to help build social ties among their skilled knowledge workers so they can build employee loyalty...
Kate lives in a house close to a local university, and she traditionally has rented a garage apartment in the back of her property to students for $750 per month. Kate wants to transfer the title to...
Pottery Ranch Inc. has been manufacturing its own finials for its curtain rods. The company is currently operating at 100% of capacity, and variable manufacturing overhead is charged to production at...

A thin circular hoop is suspended from a knife edge. Its rotational inertia about the rotation axis

Question:

Step by Step Answer:

Use Eqs 1026a and 1028b Show that the thin circular ...View the full answer

Physics

Students also viewed these Mechanics questions