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(a) The bob of a simple pendulum of length \( l \) is released
\( \mathrm{P} \) from a point in the same horizontal line as the point of suspension

W and at a distance \( l \) from it. Calculate the tension in the string at the lowest point of its swing.
(b) If the string of the pendulum is catched by a nail located vertically below the point of suspension and the bob just swings around a complete circle around the nail, find the distance of the nail from the point of suspension.
(c) If the string of the pendulum is made of rubber then show that it will be stretched by \( 3 \mathrm{mg} / \mathrm{k} \) on reaching the bob at the lowest point. Here \( k \) is the force constant of the string.
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