A thin metal disk of mass m = 2.00 x 10- kg and radius R =...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A thin metal disk of mass m = 2.00 x 10- kg and radius R = 2.20 cm is attached at its center to a long fiber. (Figure 1)When the disk is turned from the relaxed state through a small angle 8, the torque exerted by the fiber on the disk is proportional to 8: T= -k 0. The constant of proportionality k is called the "torsional constant" and is a property of the fiber. Part A R Find an expression for the torsional constant k in terms of the moment of inertia I of the disk and the angular frequency w of small, free oscillations. Express your answer in terms of some or all of the variables I and w. Part B The disk, when twisted and released, oscillates with a period T of 1.00 s. Find the torsional constant k of the fiber. Give your numerical answer for the torsional constant to an accuracy of three significant figures. A thin metal disk of mass m = 2.00 x 10- kg and radius R = 2.20 cm is attached at its center to a long fiber. (Figure 1)When the disk is turned from the relaxed state through a small angle 8, the torque exerted by the fiber on the disk is proportional to 8: T= -k 0. The constant of proportionality k is called the "torsional constant" and is a property of the fiber. Part A R Find an expression for the torsional constant k in terms of the moment of inertia I of the disk and the angular frequency w of small, free oscillations. Express your answer in terms of some or all of the variables I and w. Part B The disk, when twisted and released, oscillates with a period T of 1.00 s. Find the torsional constant k of the fiber. Give your numerical answer for the torsional constant to an accuracy of three significant figures.
Expert Answer:
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
Posted Date:
Students also viewed these physics questions
-
The new line character is utilized solely as the last person in each message. On association with the server, a client can possibly (I) question the situation with a client by sending the client's...
-
Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...
-
Read the following facts and then choose the correct option below: X acts as an interpreter in a transaction where Y wants to buy stolen goods from Z. X's conduct is considered to be that of a/an: a....
-
Suppose that to finance its credit policy, the Fed pays an annual interest rate of 0.5 percent on bank reserves. During the course of the current year, banks hold $1 trillion in reserves. What is the...
-
Suppose the following model describes the relationship between annual salary (salary) and the number of previous years of labor market experience (exper): log(salary) = 10.6 + .027 exper. (i) What is...
-
Find the magnitude of the force \(F\) required to hold the plate in Fig. P5.39 stationary. Figure P5.39 V = 30 m/s m = 5 kg/s Water 45 F
-
Ebba Co. is experiencing a decrease in sales and operating income for the fiscal year ending December 31, 2010. Cody Bryant, controller of Ebba Co., has suggested that all orders received before the...
-
The following transactions were completed by the company: a. The company completed consulting work for a client and immediately collected $7,300 cash. b. The company completed commission work for a...
-
The following is Wolastoq Tours Limited's unadjusted trial balance at its year end, November 30, 2018. The company adjusts its accounts annually. Additional information: 1. The insurance policy has a...
-
Memorizing has its place. In my Catholic education I had to memorize parts of the Bible. In grammar school the multiplication tables. In high school I had to memorize speeches. In Army Aviation I had...
-
Plz help me answer these question. It related to Branding and Advertising. 1/ Advertising appeals A/ Describe the differences in the three main types of advertising messages - emotional (affective),...
-
Compute the entropy difference between 12 kg of water at 40C and 12 kg of ice at - 10C. (Assume that the heat capacity goes to zero as the temperature approaches zero.) Cp,water = 4.184 J/g K Cpice =...
-
When a car that has rolled down hill is stopped with the brakes, does energy move from the air to the car or the car to the air? Explain
-
Goodlife Insurance Company has $130000 in fees from its clients to invest. They put part of the money into bonds that pay 6.4% annual interest and the rest into a mutual fund that pays 11.9% annual...
-
As the bat flies at a constant speed of 0.04 v toward a large tree trunk (where v denotes the speed of sound) the bat emits an ultrasonic pulse. The pulse is reflected off the tree and returns to the...
-
On January 1, Gold Travel Agency, Inc. began operations. The following transactions were completed during the month. Issued common stock for $24,000 cash. Obtained a bank loan for $7,000 by issuing a...
-
If the annual fixed costs are 54,000 dinars, the occupation expense represents 20%, the contribution margin is 25%, and the unit selling price is 40 dinars. Required: Calculate the closing point of...
-
A circular reentrant orifice (also called Borda??s mouthpiece) of diameter D is placed at a depth h below the surface of a tank. Knowing that the speed of the issuing stream is v = ??2gh and assuming...
-
A small sphere of weight W is held as shown by two wires AB and CD. Ifwire AB is cut, determine the tension in the other wire(a) Before AB is cut,(b) Immediately after AB has beencut. A 50 B 70 D
-
A particle moves in a straight line with the velocity shown in the figure. Knowing that x = ?? 48 ft at t = 0, draw the a??t and x??t curves for 0 (a) The maximum value of the position coordinate of...
-
Victoria has prepared the following list of statements about corporations. 1. A corporation is an entity separate and distinct from its owners. 2. As a legal entity, a corporation has most of the...
-
Indicate whether the following items would appear on the income statement (IS), statement of financial position (SFP), or retained earnings statement (RES). a. Dividends. b. Cash. c. Salaries and...
-
On May 10, Chen Co. issues 2,000 6 par value ordinary shares for cash at 13 per share. Journalize the issuance of the shares.
Study smarter with the SolutionInn App