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Joshi sir comment

$A t a g e n e r a l p o i n t - 2 T \sin θ = m a (θ i s m e a s u r e d f r o m h o r i z o n t a l) \Rightarrow a = - 2 M g θ / m = - 2 M g y / m l c o m p a r e w i t h a = - ω^{2} y ω = \sqrt{\frac{2 M g}{m l}} (1) N o w f o r m a x d i s p l a c e m e n t o f s m a l l m m g (h + y) = 2 M g x a n d x = y^{2} / 2 l o n s o l v i n g t h i s q u a d r a t i c e q . f o r y / l w e g e t \frac{y}{l} - \frac{m}{2 M} = \sqrt{\frac{m}{M} \frac{h}{l}} \Rightarrow \frac{y}{l} = \sqrt{\frac{m}{M} \frac{h}{l}} (g i v e n t h a t \frac{m}{M} < < \frac{h}{l}) s o x = \frac{m}{2 M} h (2) s o v_{m a x} = x ω n o w s o l v e$

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