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ques5

Asked by rbhatt16 27th December 2017, 11:43 PM
Answered by Expert
Answer:
begin mathsize 20px style F r o m space N e w t o n apostrophe s space s e c o n d space l a w space i n space p r o j e c t i o n space
minus d T equals space omega squared x space space d m
space equals space m over l omega squared x space d x

I n t e g r a t i n g space w e space g e t

minus T equals m over l omega squared space x squared over 2 space plus space C o n s tan t
x equals space plus l over 2 space o r space minus l over 2 space space space space f o r space T equals space 0

t h e r e f o r e space c o n s tan t space equals space minus fraction numerator m omega squared l over denominator 8 end fraction

T equals fraction numerator m omega squared l over denominator 2 end fraction open parentheses l over 4 minus space x squared over l close parentheses

T space left parenthesis m a x i m u m right parenthesis equals fraction numerator m omega squared l over denominator 8 end fraction space space space space a t space t h e space c e n t r e

T subscript left parenthesis m a x right parenthesis end subscript space equals S space sigma subscript m space space space space left parenthesis g i v e n space c o n d i t i o n space o f space p r o b l e m right parenthesis

fraction numerator m omega squared l over denominator 8 end fraction space equals S space sigma subscript m
omega equals 2 over l square root of fraction numerator 2 sigma subscript m over denominator rho end fraction end root equals 2 pi n

n equals fraction numerator 2 over denominator pi l end fraction square root of fraction numerator 2 sigma subscript m over denominator rho end fraction end root

t h i s space s h o u l d space h e l p space y o u space i n space f i n d i n g space t h e space a n s w e r






end style
Answered by Expert 28th December 2017, 5:02 PM
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