A classical mechanics problem by Kushal Patankar

A small ball of mass \(m\) is attached to the end of the string of length \(l=1 \ m\) whose other end is fixed. From its lowest position, the ball is given kinetic energy \(\frac{mgl}{5}\). Calculate the net acceleration \((in m/s^2)\) of the ball at the instant when the string makes an angle \( \theta=37°\) with the vertical.

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