A simple pendulum of length L having a bob of mass m is deflected from its rest position by an angle `theta` and released figure. The string hits a peg which is fixed at distance x below the point of suspension and the bob starts going in a circle centred at the peg. a. Assuming that initially the bob has a height less thasn the peg, show that the maximum height reached by the bob equals its initialheight. b. If the pendulum is released with `theta=90^0` and `m=L/2` find the maximum height reached by the bob above its lowest positon before the string becomes slack. c. Find the minimum value of x/L for which the bob goes in a complete circle about the pet when the pendulum is released from `theta=90^0`.