NEET Class neet Answered

Please answer this

Asked by Prashant DIGHE | 22 May, 2020, 12:29: PM

Expert Answer

As given in the question the edges are clamped so there should be displacement node at the edges i.e displacement would become zero for edgrs which means u(x,y) =0 for all the condition of the edges.

A s space s h o w n space i n space t h e space f i g u r e F o r space l i n e space A B space y equals 0 space a n d space x space v a r i e s space f r o m space 0 space t o space L space i. e space space space 0 less or equal than x less or equal than L B C space x equals L space a n d space space 0 less or equal than y less or equal than L C D space y equals L space a n d space space 0 less or equal than x less or equal than L D A space x equals 0 space a n d space 0 less or equal than y less or equal than L O n space a n a l y sin g space o p t i o n s space o n e space b y space o n e space i. e space f o r space o p t i o n space A a t space y equals 0 space U left parenthesis x comma y right parenthesis space equals a C o s open parentheses fraction numerator πx over denominator 2 L end fraction close parentheses space i. e space U left parenthesis x comma Y right parenthesis not equal to 0 space f o r space a l l space t h e space v a l u e s space o f space x S o space i t space c a n space n o t space b e space c o r r e c t space h e n c e space o p t i o n space A space i s space r e j e c t e d F o r space O p t i o n space B A t space Y equals 0 space U left parenthesis x comma y right parenthesis equals 0 space space F o r space a l l space c o n d i t i o n s x equals L space comma U left parenthesis x comma y right parenthesis equals 0 space F o r space a l l space c o n d i t i o n s y equals L comma U left parenthesis x comma y right parenthesis equals 0 space F o r space a l l space c o n d i t i o n s x equals 0 comma U left parenthesis x comma y right parenthesis equals 0 space F o r space a l l space c o n d i t i o n s S o space t h i s space o p t i o n space s a t i s f y space a l l space t h e space c o n d i t i o n s space h e n c e space i t space i s space c o r r e c t S i m i l a r l y space o p t i o n space C space a l s o space s a t i s f y space a l l space t h e space c o n d i t i o n space h e n c e space o p t i o n space C space i s space a l s o space c o r r e c t N o w space o p t i o n space D F o r space y equals 0 comma space U left parenthesis x comma y right parenthesis space equals 0 comma X equals L comma U left parenthesis x comma y right parenthesis equals a S i n open parentheses fraction numerator pi y over denominator L end fraction close parentheses space w h i c h space c a n space n o t space b e space 0 space f o r space a l l space c o n d i t i o n space o f space space 0 less or equal than y less or equal than L H e n c e space t h i s space o p t i o n space i s space a l s o space r e j e c t e d space S O space c o r r e c t space a n s w e r space i s space O p t i o n space B space a n d space C

Answered by Utkarsh Lokhande | 22 May, 2020, 08:41: PM

NEET Class neet Answered

Application Videos

Growth of Current in L-R Circuit

CALL US / WHATSAPP

Please Login or Sign up to continue!

NEET Class neet Answered

Application Videos

Growth of Current in L-R Circuit

Choose Filters

Open In Ask A Doubt App ?

Get in Touch

Call / Whats App