HCVERMA -WORK&ENER.-PG136-PRB58,64

A simple pendulum of length L having a bob of mass 'm' is deflected frm its rest position by angle  and released. The string hits the peg which is fixed at a distance 'x' below pt. of suspension and the bob starts going in a circle  centred at the peg. (1)Assuming that initially the bob has a height less than peg,show that the max. ht. reached by bob equals its initial ht.(2)if pendulum is released with  = 90' and "'x'=L/2 ,find max. ht. reached by bob above its lowest position before the string becomes slack. (3) Find min. value of x/L for which bob goes in a complete circle about the peg when the pendulum is released from  =90'