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CBSE Class 12-science Answered

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Asked by sreenivasa.pathange | 06 May, 2020, 11:51: AM
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T h e space e q u i l i b r i u m space p o s i t i o n space o f space b o b space i s space g i v e n space a s space tan theta space equals space fraction numerator q E over denominator m g end fraction space space.... space left parenthesis 1 right parenthesis space E f f e c t i v e space a c c e l e r a t i o n space o n space b o b space i s comma space g subscript e f f end subscript space equals space square root of space g squared space plus thin space open parentheses fraction numerator q E over denominator m g end fraction close parentheses squared end root space space.... space left parenthesis 2 right parenthesis space s p e e d space o f space b o b space i n space c i r c u l a r space m o t i o n space c a n space b e space w r i t t e n space a s comma space v space equals space square root of r g subscript e f f end subscript tan theta end root space space... left parenthesis L i n e a r space v e l o c i t y space o f space b o b space i n space c a s e space o f space c o n i c a l space p e n d u l u m right parenthesis space F r o m space t h e space f i g u r e comma space w e space c a n space s u b s t i t u t e space t h e space v a l u e s space o f space apostrophe r apostrophe space w h i c h space i s space r a d i u s space o f space t h e space c i r c u l a r space m o t i o n. space r space equals space calligraphic l sin theta space... left parenthesis f r o m space f i g u r e space g i v e n space a b o v e right parenthesis thin space T h u s comma space v space equals space square root of space calligraphic l sin theta space g subscript e f f end subscript space tan theta end root space space... space left parenthesis 3 right parenthesis space H e n c e comma space v space equals space square root of space calligraphic l fraction numerator q E over denominator square root of open parentheses q E close parentheses squared plus open parentheses m g close parentheses squared end root end fraction space square root of space g squared space plus thin space open parentheses fraction numerator q E over denominator m g end fraction close parentheses squared end root space open parentheses fraction numerator q E over denominator m g end fraction close parentheses end root space space.... space left parenthesis f r o m space left parenthesis 1 right parenthesis comma space left parenthesis 2 right parenthesis space a n d space left parenthesis 3 right parenthesis right parenthesis v space equals space square root of space calligraphic l open parentheses fraction numerator q E over denominator square root of open parentheses q E close parentheses squared plus open parentheses m g close parentheses squared end root end fraction close parentheses space open parentheses square root of space fraction numerator m g squared space plus open parentheses q E close parentheses squared over denominator m end fraction thin space end root close parentheses space open parentheses fraction numerator q E over denominator m g end fraction close parentheses end root space S i m p l i f y i n g comma space w e space g e t comma space v space equals space square root of fraction numerator calligraphic l open parentheses q E close parentheses squared over denominator m squared g end fraction end root space T h u s comma space t h e space p r o j e c t i o n space s p e e d space o f space t h e space b o b space i s comma space rightwards double arrow v space equals space fraction numerator q E over denominator m end fraction square root of calligraphic l over g end root space space
Answered by Shiwani Sawant | 06 May, 2020, 05:35: PM

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CBSE 12-science - Physics
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