Grade 12th passMechanics
A simple pendulum of length L having a bob of mass m is deflected from its rest position by an angle 9 and released (figure 8-E16). The string hits a peg which is fixed at a 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 than the peg, show that the maximum height reached by the bob equals its initial height. (b) If the pendulum is released with 9 = 90° and x=LI2 find the maximum height reached by the bob above its lowest position before the string becomes slack. (c) Find the minimum value of x/L for which the bob goes in a complete circle about the peg when the pendulum is released from 9 = 90°. In this question, the part (b) is one of the case of part (a) but when you go on solving the part (b) you will find out that it does not satisfy the condition of part (a). Answer me ASAP.
A simple pendulum of length L having a bob of mass m is deflected from its rest position by an angle 9 and released (figure 8-E16). The string hits a peg which is fixed at a 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 than the peg, show that the maximum height reached by the bob equals its initial height. (b) If the pendulum is released with 9 = 90° and x=LI2 find the maximum height reached by the bob above its lowest position before the string becomes slack. (c) Find the minimum value of x/L for which the bob goes in a complete circle about the peg when the pendulum is released from 9 = 90°.
In this question, the part (b) is one of the case of part (a) but when you go on solving the part (b) you will find out that it does not satisfy the condition of part (a). Answer me ASAP.
