Two massive identical rods are joined by a light string attached to their midpoints & are also pivoted through a smooth pin passing through one end of each rod. The entire structure looks like the alphabet A. The system always remains in a vertical plane with the two remaining free ends of the rods on a smooth horizontal surface. The angle made by each rod with the horizontal is θ. If the string is suddenly cut find the initial acceleration of the pivot point.

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\(\Rightarrow \alpha =\frac { 3gcos\theta }{ 2l }\)

\(\Rightarrow { a }_{ Pivot }=\alpha \frac { l }{ 2 } \quad \boxed { \Rightarrow { a }_{ Pivot }=\frac { 3gcos\theta }{ 4 } }\)

Tell me whether this is correct or not. – Ronak Agarwal · 2 years, 5 months ago

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