A frictionless turntable with radius R and mass m, uniformly distributed over its area is spinning...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A frictionless turntable with radius R and mass m, uniformly distributed over its area is spinning at an angular velocity wo about its center. A man and a woman are standing on the spinning turntable. They are initially located on opposite sides of the turntable at the outer edge, but start walking toward each other at the same rate until they meet at the center. You may approximate the people as objects, each with mass m, and negligible size. 1) Compute the moment of the inertia of the turntable together with the people on it as a function of r, the distance of the man and woman from the center. 2) Compute the angular velocity w(r) of the turntable (which is the same as that of the people) as a function of r. If m = 2m2, what is the angular velocity when the people meet at the center? 3) In the case that m = 2m2, what is the initial rotational kinetic energy? What is the final rotational kinetic energy when the people meet at the center? Express your answers as a numerical factor multiplying mwR. 4) Is rotational kinetic energy conserved? Explain why or why not. m2 3 R m2 A frictionless turntable with radius R and mass m, uniformly distributed over its area is spinning at an angular velocity wo about its center. A man and a woman are standing on the spinning turntable. They are initially located on opposite sides of the turntable at the outer edge, but start walking toward each other at the same rate until they meet at the center. You may approximate the people as objects, each with mass m, and negligible size. 1) Compute the moment of the inertia of the turntable together with the people on it as a function of r, the distance of the man and woman from the center. 2) Compute the angular velocity w(r) of the turntable (which is the same as that of the people) as a function of r. If m = 2m2, what is the angular velocity when the people meet at the center? 3) In the case that m = 2m2, what is the initial rotational kinetic energy? What is the final rotational kinetic energy when the people meet at the center? Express your answers as a numerical factor multiplying mwR. 4) Is rotational kinetic energy conserved? Explain why or why not. m2 3 R m2
Expert Answer:
Related Book For
Posted Date:
Students also viewed these physics questions
-
A cylinder with radius R and mass M has density that increases linearly with distance r from the cylinder axis, p = ar, where a is a positive constant (a) Calculate the moment of inertia of the...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Which type of Organizational Model put the MOST emphasis on establishing MORALE and AUTONOMY O a. Hierarchical style Model b. O c. O d. Flat Management (Holocracy) Model Multi-divisional style Model...
-
What is the relationship between refraction and the speed of light?
-
Consider the following high-level function.? (a) Translate the high-level function f into MIPS assembly language. Pay particular attention to properly saving and restoring registers across function...
-
A safety PLC manufacturer has stated that proof testing includes only physical inspection for deterioration and damage, and a check for unauthorized program changes Detailed test of the programmed...
-
1. How does The Boomer Technology Circle illustrate the concept of the bidirectional service supply relationship? 2. How has Boomer Consulting, Inc., made the client a co-producer in the service...
-
Find the derivative of y with respect to the given independent variable. y=log 36ex-log6 x dy dx 11
-
The following is information for Dundee Realty: 1. Balance per the bank statement dated October 31, 2023, is $26,830. 2. Balance of the Cash account on the company books as of October 31, 2023, is...
-
2. A small retail company is concerned that its current performance appraisal processes are ineffective. Advise the HR manager what the common problems with performance appraisal processes are and...
-
Calculate the investment in studying in a Doctoral program in the USA using NPV, IRR, PI, and discounted Payback, for each student. Initial Investment is all the same, but other expenses up to 2...
-
You anticipate purchasing a new home. Based on your current financial position, the most you can afford on a monthly basis is $1,200.00 (ignoring taxes and fees). You locate a new home in a desirable...
-
Use the Excel template below to calculate the NPV , IRR, and break - even values for VenturaAviation given the data already contained in the template. Key Assumptions Construction cost ($) Loan ($)...
-
Cindy needs $5,400 in 2 years. How much should Cindy invest today if she invested into an account that yields 3.5% interest compounded quarterly?
-
Zawetere Limited, in Siteki is a manufacturing company and is in the process of preparing its budget for the upcoming production period. The following data relate to the company for the year ended 30...
-
Find the margin of error for the given values of c, a, and n. c= 0.90, a = 2.2, n= 49 Click the icon to view a table of common critical values. E= (Round to three decimal places as needed.)
-
State whether each statement is true or false. If false, give a reason. {purple, green, yellow} = {green, pink, yellow}
-
A non-relativistic particle with charge q performs circular cyclotron motion in a uniform magnetic field B = Bz. Include the radiation reaction force in the equation of motion and solve it assuming...
-
Consider a charge distribution (r) in rigid, uniform motion with velocity . (a) Show that the magnetic field produced by this system is B(r) = (/c 2 ) E, where E(r) is the electric field produced by...
-
Find the free-space Green functionG (d) 0 (r, r') in d = 1, 2, 3 space dimensions by the method of eigenfunction expansion. For d = 2, you will need (i) an integral representation of J 0 (x); (ii)...
-
In spherical coordinates, the temperature field can be expressed as \[T=T(r, \theta, \phi, t)\] Derive from this an expression for \(D T / D t\) in spherical coordinates.
-
In cylindrical coordinates, the temperature field (a scalar field) can be expressed as \[T=T(r, \theta, z, t)\] Based on this, derive an expression for \(D T / D t\) in cylindrical coordinates.
-
Derive an expression for \(D T / D t\) in Cartesian coordinates. Also show that the same relation holds for a vector; i.e., \[\frac{D \boldsymbol{v}}{D t}=e_{x} \frac{D v_{x}}{D t}+e_{y} \frac{D...
Study smarter with the SolutionInn App