sign up I login
 advanced
refer a friend - earn nickels!!

Ask & Discuss Questions with Community & Experts

Moderation Team
 90 chars left    advanced
Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Challenge- A multimechanical question
Forum Index -> Mechanics like the article? email it to a friend.  
Author Message
varun.tinkle (1132)

Blazing goIITian

Olaaa!! Perrrfect answer. 200  [266 rates]

varun.tinkle's Avatar

total posts: 1124    
offline Offline
I DONT THINK ITS THAT A TUGH AS SUM NEVERTHLESS LETS CALCULATE THE ANGULAR MOMENTUM ABT THE PT OF CONTACT OF BOTH THE VEHICLES (MEANS THE BOTTOM MOST PT)
INITIAL MOMENTUM
ASSUMING THE RADIUS TO BE EQUAL
MV1R+1W1 AND THEN U CAN CALCULATE THE VELCOTY AND ANGULAR VELCOITYS RATIO
MEANS U WILL GET THAT MVR+1W1/V1 ....=W
SO THEN U CAN FIND OUT THE RELATIVE VELOCITY OF THE PT OF CONTACT AND THEN ITS SIMPLE

From shadows a light shall spring
Renewed shall be blade that's broken
The crown less again shall be king.

MY BLOG
http://my.opera.com/vu2rje/blog/
 this reply: 0 points  (with Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
varun.tinkle (1132)

Blazing goIITian

Olaaa!! Perrrfect answer. 200  [266 rates]

varun.tinkle's Avatar

total posts: 1124    
offline Offline

SEE I GOT THE ANSWER ITS VERY COMPLEX AND THIS IS NOT AN IIT SUM THIS IS AN  PHYSICS OYMAPAID SUM


SEE FIRST CALCULATE THE INERTIA OF THE COMBINED MASS (THIS IS THE TOUGHEST PART OF THE WHOLE SUM)


SEE FIRST WE NEED TO FIND THE POSITION OF THE COM IF THE SYSTEM AND THEN WE CAN FIND OUT THE THE INERTIA OF EACH SPHERE ABT THIS PT AND ADD IT GIVING THE INERTIA OF THE COMBINATION


THE Y AXIS OF THE COM WILL BE TAKING THE ORIGION AT THE GROUND  COM=M1R1+M2R2/M1+M2


SIGNIFYING THIS AS Y1


TAKING THE RADIUS OF THE FIRST SPHERE AS THE ORIGION THE COM  IS M2(R1+R2) /M1+M2    


WE KNOW THE INERTIA ABT THE COM OF THE FIRST SPHERE (THAT IS THROUGH ITS RADIUS)  SO D= M2(R1+R2) /M1+M2   SO D^2 CAN BE EASILY CALCULATED AND SO IST INERTIA IS EASILY CACULATED


INERTIA OF THE 2ND SPHERE ABT THE COM OF THE SYSTEM  


D=R1+R2-M2(R1+R2) /M1+M2  SO D^2 CAN BE CALCULATED AND SO ANOTHE INERTIA IS ALSO CALCULATED


NOW LETS TAKE LINEAR MOMENTUM THIS CAN BE CONSERVED SINCE BEFORE COLLISION FRICION IS NOT ACTING AND IMMEDIATELY AFTER COLLISION IT IS ALSO NOT ACTING


SO  M1V1+M2V2=(M1+M2)V3           (HERE V3 IS THE NEW VELOCITY)


V3=M1V1+M2V2/(M1+M2)


NOW CONSERVING ANGULAR MOMENTUM ABT THE BOTTOM MOST PT ANYWHERE U CAN TAKE SINCE INITIALLY NO FRICTION IS ACTING


V1=W1R1  W1=V1/R1  SIMILARLY   W2=V2/R2


INERTIA OF MASS M1=2/5M1R1^2 AND INERTIA IF 2ND MASS =2/5M2R2^2


SO CONSERVING ANGUAR MOMENTUM


I1W1+M1VIR1+I2W2+M2V2R2=INERTIA CALCULATED ERALIER W3 +(M1+M2)V3AND R IS THE POSITION OF THE COM ON THE ORIGION


SO WE ET W


NOW SINCE THE DIRECTION OF ROLLING IS NOT CHANGING THE VEOCITY OF THE BOTTOMMOST PT OF CONTACT =V-W3Y1


AND SO WE FIND OUT THE VEOCITY OF PT OF CONTACT  


BUT NOW WE KNOW THE MASS OF THE SYSTEM N=2MG


SO WE KNOW THE VALUE OF uN


TIME TAKEN TO STOP=   U/A


AND SO THIS IS THE ANSWER


PLS RATE ME FOR MY EFFORTS


!!!!!!!CHEERS!!!!!!!!!! 


From shadows a light shall spring
Renewed shall be blade that's broken
The crown less again shall be king.

MY BLOG
http://my.opera.com/vu2rje/blog/
 this reply: 5 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
tarinbansal (3845)

Blazing goIITian

Olaaa!! Perrrfect answer. 659  [934 rates]

tarinbansal's Avatar

total posts: 2624    
offline Offline
I dont know the answer. Some expert plz confirm the answer.

@varun, R U sure this is an olympiad question?? :O :O
I havent picked this question from anywhere. Its a self made question. :-|

The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.

It is during our darkest moments that we must focus to see the light.

Check out my blog at:
http://tarinbansal.blogspot.com/

Posts:
Can marks really judge a student??
Some myths about Chemical Engineering.
(A must see for every student)

Back to goiit, this time with Baby Veerappan. :D
 this reply: 0 points  (with Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
varun.tinkle (1132)

Blazing goIITian

Olaaa!! Perrrfect answer. 200  [266 rates]

varun.tinkle's Avatar

total posts: 1124    
offline Offline
N I AM JUST TELLING THAT IT IS SO TOUGH THAT IT CANT BE AN IIT SUM

From shadows a light shall spring
Renewed shall be blade that's broken
The crown less again shall be king.

MY BLOG
http://my.opera.com/vu2rje/blog/
 this reply: 0 points  (with Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
 
Forum Index -> Mechanics
Go to:   

Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Narayana - Kota , Delhi , Others
Brilliant Tutorials - Class , Crash
Aakash Institute - Medical , Engg
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya