A bob attached to a string is released from horizontal position as shown in figure. For what value of $α$ (angle between string and vertical) during its motion, the total acceleration is directly horizontally?

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a t ​ a n ​ m g l ( cos α ) tan α ∴ cos α ​ = g sin α = ℓ v 2 ​ = 2 1 ​ m v 2 ⇒ ℓ v 2 ​ = 2 g cos α = a n ​ = a t ​ a n ​ ​ = g sin α 2 g cos α ​ ⇒ tan α = 2 ​ = 3 ​ 1 ​ ​

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