MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Aniket Patra Grade: Upto college level
        

A sphere is rolling without slipping on a rough surface..Is there is arrangement done which can nullify the effect of friction i.e. altough friction is there, no force due to ftiction acts on it while rolling?

7 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

consider a sphere rolling on a frictious surface......


A force F is acting on the sphere horizontally ,r distance above the center of sphere....


friction force will be in foreward direction and let it be f  ..


now we have ,


            f + F = ma...........1    (for translational motion)


 and            


 F r- fR = I(angular accleration)     ,                      


(for rolling without slipping,      a=(angular accleration)R)




Fr - fR = Ia/R       (R is radius of sphere and I is moment of inertia of sphere)




  or            Fr - fR= 2MaR/5                       (I for sphere is 2MR2 /5)




  or            F  -  fR/r = 2MaR/5r ............2


  eq 1 - eq 2 




            f(1+R/r) = Ma(1-2R/5r)




            f= Ma(1-2R/5r) /1+R/r   


   


now f = 0 when r =2R/5


 therefore when a force acts on the sphere at a distance 2R/5 above the center then sphere friction force acting on the sphere will be zero.......


 

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete Physics Course - Class 12
  • OFFERED PRICE: Rs. 2,756
  • View Details
Get extra Rs. 551 off
USE CODE: CHEM20
  • Complete Physics Course - Class 11
  • OFFERED PRICE: Rs. 2,968
  • View Details
Get extra Rs. 594 off
USE CODE: CHEM20

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details