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Grade: 12

                        

good morning sir please explain this problem problem is given in image please explain it fast

2 years ago

Answers : (1)

Ravneet
104 Points
							
Answer 15. 
WHEN THE ELECTRIC FIELD IS APPLIED,  
  • IT WILL PRODUCE TORQUE (there will be friction also due to rough horizontal surface )
  • THE NET ELECTRIC FORCE WILL BE ZERO.   
torque = R . F. sinx                                              where F is qE but q is not given 
so q = (lambda)(R.dx)        where x is the angle where the charge is distributed 
TARGET: TO find TORQUE independent of x (angle)
torque = ∫ (lambda . R .dx ) E sinx 
limit of integration will be 0 to pi/ 2 and this torque will be multiply by 2 becouse the torque is produced by both + and – charge 
torque = 2 X ∫ (lambda . R .dx ) E sinx             limit of integration will be 0 to pi/ 2 
ON SOLVING, WE GET 
torque = (2)( lambda)(  E )( R2)
AS THE MOTION IS PURE ROLLING,
torque – (torque produced by frictional force ) = (moment of inertia ) (alpha ) 
                                                     where alpha = angular acceleration = f/(mR)
 
 (2)( lambda)(  E )( R2)    –  f(R)    =   I (ALPHA )
  (2)( lambda)(  E )( R2)    –  f(R)    =    I X f/(mR)
PUT I = mR2
and sove for f (frictional force)
f = (lambda )(E)(R)__________________________ANSWER 
2 years ago
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