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
hi .this is sachin. i have an eye sight of -12 for both my eyes.do i have any reservation in iit entrance exam? please reply as early as possible?
 
 
Blind persons whose visual acuity, as determined by competent authority, is 20/200 or less in the better eye with correcting lenses, or whose widest diameter of visual field subtends angular...
  img
Aziz Alam 3 days ago
i am living in delhi and my parents are in maharashtra. can i make my local guardian in delhi to sign the declaration form on behalf of my parents???
 
 
if in the form there is an option like parents/guardian then you can use your local guardian in declaration form otherwise fathers mostly signature is best. thanks and regards sunil kr...
  img
Sunil Kumar FP 25 days ago
Sir, I got 48296 ( overall rank ) and 34385(category rank) in JEE mains... what are the colleges that I can get in ?
 
 
The link below is IIT JEE Main Branch and College Predictor.You can use it to get the answer to your query. http://www.askiitians.com/iit-jee/main/college-branch-predictor.html Thanks &...
  img
Aziz Alam 10 days ago
sir, through jee main counselling, suppose we get bit mesra then is it the ranchi campus or other campuses also....? like deoghar, patna etc.... please reply soon...
 
 
.Suppose you are getting BIT Mesra or it’s extension centre in Ranchi or Patna .In that case you will bespecified exactly before allotting you the seat finally
  img
Sourabh Singh 14 days ago
Can I take admission in any private medical college with aipmt rank 23450
 
 
Hi, I don't think rank is an issue with private medical colleges. You should contact the medical college in which you want to take admission and can ask about your queries. I think you are...
  img
Apoorva Arora one month ago
Which govt. college can i get at AIR overall 375000 and AIR category 224000 in jee mains? I belong to general category. Thank you..
 
 
These are some of the govt.colleges in which you may get admission as per your rank: National Institute of Technology, Dimapur National Institute of Technology, Raipur National Institute of...
  img
Ramreddy 9 days ago
 
In which round can I expect seat allotment?
 
PRERAK CHATURVEDI 8 days ago
View all Questions »