You are provided with a pendulum bob, a metre rule, a stopwatch, a retort stand with clamp, and other necessary apparatus.
i. Suspend the pendulum bob from the clamp as illustrated in the diagram.

ii. Adjust the pendulum such that AC=L= 90 cm

iii. Displace the pendulum bob slightly such that it oscillates in a vertical plane.

iv. Measure and record the time t for 20 complete oscillations.

v. Evaluate T and \(\sqrt L\)

vi.Repeat the procedure for four others values of L= 80 cm,70 cm, 60 cm, and 50cm.

vii. Tabulate your readings

viii. Plot a graph with T on the vertical axis and \(\sqrt L\) on the horizontal axis.

ix. Determine the slope, s, of the graph.
x. Evaluate g= \(\frac{4\pi^{2}}{5^{2}}\) 

xi. State two precautions taken to ensure accurate results.

(b) i. Determine from your graph, the period of the pendulum for L= 75 cm.

ii. A simple pendulum bob is set into simple harmonic motion. Sketch a diagram of the setup and indicate on it; the positions of:
(a) maximum velocity.
(b) maximum acceleration of the bob