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
which book i read?
 
 
Hi, If you feel you have a good intellectual level, then follow arihant books, otherwise just follow your text books and take some study material for the support....
  img
Shobhit Varshney 3 days ago
iam in a strong will to clear IIT JEE 2015....can you please suggest me some preparation tips.....
 
 
Preparing forIIT-JEE is surely a difficult thing but it all depends on how you manage your time. The key for this planning is to first set some long-term goals and then set up short-term...
  img
Saurabh Kumar 4 days ago
 
Hi, The best thing is to make a study schedule and follow it strictly. Keep a balance between theory and numericals and follow good books instead of completing many books. thanks...
  img
Shobhit Varshney 4 days ago
SIR I HAVE PASSED MY CLASS 12TH THIS YEAR,THAT IS IN 2014.IF I APPEAR FOR JEE-ADVANCE NEXT YEAR,WILL THE BOARD PERCENTILE WHICH IS 83.2% THIS YEAR WILL BE CONSIDERED OR THE PERCENTILE...
 
 
You will be evaluated due to the percentile of your year. You can also have a look into the changes which are incorporated for this year JEE in JEE site regarding the percentile....
  img
Aziz Alam 16 days ago
6300 rank delhi region can i get CSE at DTU ??
 
 
CSE Cut off GE – 6150 OBC – 43687 SC – 92723 ST – 397597...
  img
Amit Shekhar one month ago
Is a quadratic polynomial of degree 2 bijective???? explain
 
 
No, In mathematics, abijection(orbijectivefunction or one-to-one correspondence) is a function between the elements of two sets, where every element of one set is paired with exactly one...
  img
Ravi 14 days ago
what a 11 th std boy to do to achieve jipmer. now i am finished 10 th . and got 9.6cgpa. next i want to take science stream. i think so.. give me a correct schedule for studying in home
 
 
Hello Student, Well you first gotta join some coaching institute. Then you are gonna have to study regularly and not waste time. Doing that you probable can get into IITs. Thanks &...
  img
Arun Kumar 4 months ago
View all Questions »