Answer :

The angle reached before slack is


Given


The horizontal speed of the bob is


Formula Used


The formula for the total energy in terms of kinetic and potential energy is given as



where


The is the total energy in terms of kinetic and potential energy, m is the mass of the object, g is the acceleration in terms of gravity and l is the length of the object.


Explanation


The velocity at the lowest point is given as



The energy generated because of the potential and kinetic energy is calculated as






Replacing the length as






Hence, the angle reached before slack is


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