You are provided with three retort stands, a pendulum bob, a drawing board, a stopwatch, and other necessary apparatus. Using the diagram above as a guide, carry out the following instructions.

1. Fix the drawing paper on the drawing board and hold the board with two clamps such that it is vertical.
2. Suspend the pendulum bob such that it hangs freely in front of the drawing paper.
3. Draw a line RP representing the rest position of the pendulum string and mark the position P of the centre of the pendulum bob at rest.
4. Displace the pendulum bob to one side in a plane parallel to the drawing board.
5. Mark the new position P\(^{1}\) of the centre of the bob.
6. Measure and record the perpendicular distance, d of P\(^{1}\) from the line RP
7. Evaluate and record d\(^{2}\).
8. Measure and record the vertical height h of P\(^{1}\) above P.
9. Evaluate G =\(\frac{d^{2}}{h}\)
10. Repeat the procedure for four other positions of P\(^{1}\).
11. Tabulate your readings.
12. Remove the drawing board so that the pendulum bo can swing freely.
13. Set the pendulum bob oscillating through a small bob amplitude and determine the time, t for 20 oscillations.
14. Determine and record the period, T.
15. Plot a graph with G on the vertical axis and h on the horizontal axis, starting both axes from the origin (0,0).
16. Determine the intercept I on the horizontal axis.
17. Evaluate A = \(\frac{1}{19.7T^{2}}\)
18. State two precautions taken to obtain accuratee results. (Attach your drawing paper to your answer booklet.)

(b)i. Distinguish between the period and frequency of oscillation of a simple pendulum.

ii. Differentiate between oscillatory and rotational motions.