A rigid body rolling without slipping strikes an inclined plane of inclination 60° and begins to roll without slipping up the inclined plane. The maximum height attained by the rigid body will be highest for :-
Assume initial velocity of each body of to be same and their radius be in ratio 1:2:3:4 (Solid Cylinder, Solid Sphere, Ring, Hollow Sphere).
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
I ask you to share your that solution. 'Cause you're the Asker, so you might can the solution easiest !
Log in to reply
can you please tell me how to upload a image or how to write down in nice latex form.......
by the way I just compared the k^2/R^2 values.....It's understood now...... there are so many people here who can write solution in correct format....so I asked.... :D
Log in to reply
B y E n e r g y c o n s e r v a t i o n w e c a n w r i t e M g h = 2 1 M V 2 [ 1 + R 2 K 2 ] s o t h e c o n c l u s i o n i s m o r e t h e r a t i o o f R 2 K 2 m o r e i s t h e h e i g h t r e a c h e d . S o , r e m e m b e r i n g t h e r a t i o s o f d i s c a n d a l l s t u f f R i n g i s t h e a n s w e r . . .
Log in to reply
@Manish Bhargao – The value for k^2/R^2 is maximum for hollow sphere!! If the radius of ring is 3R and the radius of hollow sphere is 4R, then that value for ring is 9, whereas for hollow sphere is 32/3! Please recheck...
Log in to reply
@A Former Brilliant Member – Oops.....You are absolutely....correct..!!actually while writing the solution I just didn't mind about the radius ratios.. thnkx....and well done.
Log in to reply
@Manish Bhargao – thanks...:)
Log in to reply
@A Former Brilliant Member – Are you in XII std
Log in to reply
@Manish Bhargao – ALL the best for JEE....
Log in to reply
@Manish Bhargao – I'm in XI, Wbu?? Good luck to you too!:)
Log in to reply
@A Former Brilliant Member – Well Iam in XII.Preparing for my boards....how much do you expect in jEE mains.
Log in to reply
@Manish Bhargao – I don't know...Never thought about it. Let's just hope for the best! And good luck for your boards!! and the JEE, as well...:)
@Manish Bhargao – There you are.
Now its a logical and nice solution. Good!
But you need to specify the Radius of Gyration of each of them and write down the values of R 2 K 2 of them. Then you should compare them and show that its highest for the Ring.
I know you've done all of these, but there are Learners in our Brilliant. org community.
So you shouldn't be ambiguous to them.
So its better you implement your nice reply in the solution with the following points met.
Undoubtedly its a brilliant problem.
Log in to reply
@Muhammad Arifur Rahman – Would you plzz illustrate the meaning and use of the radius of gyration... and how actually this prblm ha been slvd with this concept.
I 've not heard of it before ......i jst used my practical knowledge and guessed it to be the answer ...how the radius of gyration helped ????
Log in to reply
@Tanmay Goyal – Well, if you really wanna learn, why don't you Google it?
Obviously Google will be much more helpful that what I write in this limited, short collaboration.
There's plenty of Wiki's about it. Those will satisfy you nicely.
....Hope it helped...
Log in to reply
@Muhammad Arifur Rahman – I know that google has an unending stuff on almost all topics as such .... Bt i 've obsrved a difference occurs often when on one side you google it and on the other you learn from someone who has already learned it nicely ... I 've already googledd..it ....but this is not hidden from you too that the differnce arises...
I thought about that and so to accomodate in my learning the understanding of others' of the topic ..I asked you .. There is no problem otherwise...
By the way Thnks for the sugesstion.
You copied my problem . If you wanted the solution you could've written it there only.
Could u tell me that this question is related to which topic or what topic i have to study to answer this question ??
Log in to reply
This question belongs to the category of rotational mechanics, @Chirayu Bhardwaj
Problem Loading...
Note Loading...
Set Loading...
Can somebody add a nice solution.....I want to see your approach....i did it with radius of gyration logic.....
thnkx...