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
In how many ways we can select 5 cards from a deck from 52 cards, if each selection must include atleast one king?
 
 
As there are 4 cardd of king in the set of 52 cards. total ways of selection of 5 cards from the deck = 52C 5 case-I. If we select all the 4 king in the selection so the number of...
  img
Naveen Kumar 2 days ago
i was failed in class 12 th due to sudden fever now iam doing my 12 th again can i have the chance to give iit entrance exam in next to next year
 
 
yes sure. you can give jee this time as well as next time. total attempts 2 you can give. ….….…. ….….….….….....
  img
Suraj Prasad 7 days ago
which are the most most important books for iit jee ? please tell me ??
 
 
Organic Chemistry: O.P Tandon/Ranjeet Shai Inorganic Chemistry: J.D Lee (adapted version by S. Guha) Physical Chemistry: ??? Physics: D.C Pandey Feynman Lectures on Physics Maths: Vikas Rahi...
 
Yashas 8 days ago
Can anybody tell which animal can run fastest after cheetah????
 
 
There are several species of large cats in the world, including leopards, lions, jaguars, mountain lions, ocelots, and tigers, but none of them can match the speed of the cheetah. Natural...
 
Vijay Luxmi Askiitiansexpert 5 years ago
how to study for it
 
 
Dear sudent, please check your question and post again. Thanks & Regards Rinkoo Gupta askIItians Faculty
  img
Rinkoo Gupta 7 months ago
 
Dear student, please clearify your
  img
Rinkoo Gupta 7 months ago
DEAR SIR , 1 . Two objects each of mass 1 . 5 kg , are moving in the same straight time but in opposite dirctions with a velocity of 2.5 m /s . they collide with each other and stick to each...
 
 
The velocity of combined object will be 0 m/s. Because the momentum of both the objects is same but in opposite direction therefore it will cancel each other momentum of 1 st particle = m X...
 
Nisarga Rajendra Khairnar 2 months ago
View all Questions »