
You are provided with a pendulum bob, a piece of thread, retort stand, clamp and boss.
(i)Suspend the pendulum bob from the retort stand such that the distance between the point of suspension of the pendulum and horizontal floor is H. = 2.0m. Keep this distance constant throughout the experiment.
(ii)Reduce the length of the pendulum such that the distance between the floor and the centre of the pendulum bob is h = 30 cm as shown in the diagram above.
(iii)Displace the bob and release. Allow it to oscillate steadily.
(iv)Determine and record the time t for twenty complete oscillations.
(v)Determine the period T of the oscillations. Evaluate T2.
(vi)Repeat the procedure for four other values of h = 50, 70,. 80 and 110 cm respectively. In each case determine and record the corresponding values of t, T and T2
(vii)Plot a graph of h on the vertical axis against T2 on the horizontal axis.
(viii)Determine the slope, s, of the graph and the intercept, I, on the vertical axis.
(ix)Evaluate k1 = 4п2/ s [Take п = 22/7].
(x)State two precautions taken to ensure accurate results. [21 marks]
(b)(i)Explain what is meant by the frequency of an oscillating [21 marks]
(ii)State two systems, other than the simple pendulum, that can be made to perform simple harmonical motion.