A double star,with two star masses m1 & m2.They are rotating with constant angular speed. If max. distance of separation between them is R,find the angular speed of star in terms of m1,m2 & R

2 years ago

Share

Answers : (1)

                    

Hi Shweta


The above ques will be done with the concept of reduced mass...



according to the concept of reduced mass when two bodies rotate about their common centre of mass such that a force of attraction acts between them and the dist.b/n the 2 bodies remains constant then their angular velocites are exactly same both in magnitude and direction .the results for angular velocity and time period that u obtain for single bodies can be obtained by using the reduced mass of  2 body system .To reduce the 2-body system to 1-body just consider 1 body of mass=m(reduced mass) and consider its rotation about a fixed point at a dist=dist between the 2 bodies.thus u get a simple circular motin whose radius is known and the centrifugal force is balanced by the force of attraction that was originally present between the bodies. 


we can consider the 2-star system to be as 1 star having a mass
m=m1*m2/
(m1+m2) this will rotate in circular motion about a fixed pt. and having radius equal to the separation b/n the 2 bodies and the force remaining the same towards the centre as b4 which in this case is the gravitation force of interaction.




the equations will be

mw2R=Gm1m2/R2.   solving u get w=(1/R)(G(m1+m2)/R) ie 1/R*root(G(m1+m2)/R)

 

Hope it helps!


2 years ago

Post Your Answer

More Questions On IIT JEE Entrance Exam

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
i have got a seat in iit roorkee and paid the fee in the frst round of seat allocation. i have to inform to iit roorkee for my admission. but due to some reasons i cannot go to roorkee. the...
 
 
JEE office in Roorkee Contact No. +91-1332-285224, 284272 U.G. Admission Contact No. +91-1332-284289, 285200 Registrar IIT Roorkee Contact No. +91-1332-285311 The above are the means by...
  img
Aziz Alam 7 days ago
 
i tried to contact them but the phones sometimes were busy and sometimes it doesn’t connect. can i try a letter to the chairman of jee advanced for refund. they have specified they wont give...
 
ranganath 7 days ago
sir, i want to know which book of phys. should i prefer for jee mains and advance prep. in which by short approach numericals are solved with theory
 
 
For concepts please consult either Young & Freedman(University Physics) or H C Verma. These books stress on concepts and the quality of the questions are also good. Thanks & Regards...
  img
Aziz Alam 2 days ago
can a student refer dinesh objective books for iit level in physics and chemistry instead of using o.p. tandon or j.d. lee .or pradeep ?
 
 
Dinesh Objective books are good but the stress on concepts on these books are less, whereas O.P Tandon or J.D.Lee gives focus fon concepts in a pretty good way. Fo IIT JEE, you need to put...
  img
Aziz Alam 5 days ago
sir this year i am giving ntse exam...but i am not taking classes for it...so sir kaise prepare karna hoga..
 
 
Most of thing will come from your school syllabus. First, you should focus on the school study, plus there is a book for NTSE exam by Tata Mcgraw hill. You should focus on the book as well....
  img
Jitender Singh one month ago
What is the best book in physical chemistry for IIT jee , for clearing concepts and also for practice ?
 
 
http://www.askiitians.com/important-books-iit-jee.aspx read this article all the good books are mentioned in it , it will help you to find all the good books in all three subjects.
  img
Sher Mohammad 11 days ago
 
http://www.askiitians.com/important-books-iit-jee.aspx , read this article all good books are mentioned in this link,you can also find good books for other categories too.
  img
Sher Mohammad 11 days ago
AIR 19558 No category.. Any chances of getting CIVIL in PEC?
 
 
The opening and the closing of Civil in PEC for 2013 was Gen 6827- 28958 So you have a pretty good chance of getting Civil in PEC. Thanks &Regards Aziz Alam IIT Roorkee askIITians...
  img
Aziz Alam 8 days ago
View all Questions »