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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: circular motion(concept question)
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dannyfoo (19)

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imagine that i have a circle(radius R) wit a smaller circle inside.when i put the circle(radius r and both have same cantre) in a horizontal plane and let the big circle rotate 1 revolution.


question:


1)as we know the displacement of the big circle is 2*pi*R,wat im intrested is the smaller circle,can anyone describe the smaller circle's motion?


2)wat im confuse is why the smaller circlea(which also complete 2 revolution)have the same horizontal displacement as the big circle.anyone can ans my question?


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ABHI_23 (1028)

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HORIZONTAL DISPn IS SAME FOR CENTRE OF CIRCLES


SO IT IS SAME AS THAT OF BIGGER ONE

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angelboy (61)

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hey abhi the friction will be an internal force for the system if we consider both the circles as the system


 


danny i think the dispacement of the centre of mass will be 2*pi*R bcoz ofthe larger circle but as the smaller circle has the same centre it will also coiver a distance of 2*pi*R


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dannyfoo (19)

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nope,as i just intrested about wat happen to the small circle as the big circle rotate,coz im confuse

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ABHI_23 (1028)

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I THINK if surface have friction then it will rotate with the larger circle


and have same displacement

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ABHI_23 (1028)

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as the bigger circle rotates the smaller circle doesn`t rotate if


friction = 0

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angelboy (61)

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hey abhi y r u considering friction as it is the internal force of the system

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dannyfoo (19)

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i need to know as the big circle make 1 rev,the small circle also make 1 rev,why their horizontal displacement will be the same

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ABHI_23 (1028)

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if there is no friction then the bigger circle will slip below the smzller circle


and the smaller circle will not rotate


plz rate if found correct


BEST OF LUCK

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angelboy (61)

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the horizontal dispacement of both the circles is same as the bigger circle, as the horizontal displacement is given by the displacement of centre of mass and centre of mass of the system containg both the circles is equal to 2*pi*R.
got it or nt dude

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dannyfoo (19)

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any other answer,sry to say ABHI_23 doesnt clear my confusion

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angelboy (61)

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hey abhi how can there be friction if both the cicles dont touch only plz explain

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sam_jublee (209)

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plz let me know if this figure correctly picturises ur problem...............



 


A Poet does With A Pen
A Guitarist With A Guitar!!!! DReam On!!!!
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angelboy (61)

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yes i also thought of the same figure

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ABHI_23 (1028)

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 SORRY I INTERPRETED THE QUES WRONGLY!!!!!!!


IF THEY ARE BOTH MOVING WITH SAME ANGULAR VELOCITY AND HAVE SAME


CENTER THEN BY CONSERVATION OF ENERGY ANDMOMENTUM


ITS HORIZONTAL DISTANCE WILL BE SAME


HOPE NOW CONFUSION IS CLEAR !!!!!!