A simple pendulum of length ' l ' and a bob of mass ' m ' is executing S.H.M. of small amplitude ' A '. The maximum tension in the string will be ( g = acceleration due to gravity)

Step-by-step solution

Tension in the string is given as, aligned & T ^ = mg + mv ^2 l & ~T _ ^ = mg + mv ^2 l aligned Now, time period T =2 l g = 2 T = g l = 2 T = g l Maximum Velocity is given as v _ = A Substituting the values aligned T _ ^ & = mg + m ( A )^2 l & = mg + mA l l & = mg + mA ^2 ~g l^2 & = mg (1+ ( A l )^2 ) aligned