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Ask iit jee aieee pet cbse icse state board experts Expert Question: a question for electrostatics from HCVERMA plzzz can any one slove this for me
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sharad32theking (0)

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Two Identical balls, each having a charge of 2.00 x 10-7 C and a mass of 100 g, are suspended from a common point by two insulating strings each of 50 cm long. The balls are held at a separation 5.0 cm apart and then released. Find (a) the components of the resultant force on it along and perpendicular to the string (b) the tension in the string  (c) the acceleration of one of the balls. Answers are to be obtained only for the instant just after the release.
               Answers are (a) zero, 0.095 N away from the other charge
                                    (b) 0.986 N and (c) 0.95 m/s2 perpendicular to the string and going away from the other charge. Please can any one tell me how to work out this problem and what are the steps so that I can understand it. This problem is from HCVERMA VOL-2 page no. 121 question no. 22
    
hsb (10)

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pl solve it
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elessar_iitkgp (2336)

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Draw the FBD. Let the length of the thread be L and the separation between the masses be x. Also assume the angle made by the string to the vertical to be . Then


 


equations of motion


 


T-mgcos-(kq2/x2)sin=man


 


-mgsin+(kq2/x2)cos = mat


 


where an and at are the normal and tangential acceleration components. Now at the moment of release v=0, so an = (v2/R) = 0


Also note that I have taken positive tangential direction away from the other charge.


So net force alon the string, man = 0


 


Net force perpendicular to the string, mat = -mgsin+(kq2/x2)cos


 


Substitute the values, the trigonometric ratios can be found from the diagram


 


You can find the tension from the first equaion.


 


At the initial moment a = at = -gsin+(kq2/mx2)cos




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sathya_crazyteen (122)

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from the FBD write the eqns  Fq - tsin theta  = ma    ----------------1


 


                                                    --------------2


 


                                                   T cos theta = .98 --------------------3


 


Fq = k  ( 2 x 10 - 7)2 /(.05)2    =   .144 N


 


from the diagram cos theta = .499 / .500       ( use pythagoras theoram to find the  vertical dis)


 


use this in 3 to find T that comes to . 9816 N


 


use the value of T in  eqn 1 u get the  value of a = .95


 


 



sathya prabha girish
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coolshaggy_09 (0)

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electric force = f= kQ1Q2/d SQUARE.............= TO 0.144N


 


2ND PART   IS     F =MG =TSIN THETA


C PART IS               T SIN THETA =F


                                     TCOS THETA =MG


                                     T SQUARE =F SQUARE + MG SQUARE


                                     T=0.986N ANS

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