ONE

You are provided with the following

- A pendulum bob.

- A thread 110cm long

- A retort stand, clamp and boss.

- Two pieces of wood.

- A metre rule.

- A stop watch.

Proceed as follows:

(a) Tie the pendulum bob with the thread provided as shown in Figure 1. Clamp the end of the thread between the two pieces of wood, so that the length L of the pendulum is 100cm

Figure 1

(b) (i) Give the bob a slight displacement and release it. Record time 20 oscillations when the length of the pendulum is 100cm.

time = ……………………………………. s.

(ii) Repeat b (i) above for values of L of 90cm, 80cm, 70cm, 60cm, 50cm, 40cm and 30cm and complete the table below.

Length L (m)	1.0	0.9	0.8	0.7	0.6	0.5	0.4	0.3
Time t for 20 oscillations (s)
Periodic time T (s)
T2 (S2)
Log T2
Log L	0	-0.05			-0.22

7marks)

(c) (i) Plot a graph of log L against log T² (5marks)

(ii) Determine the slope of the graph (3marks)

………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………

(iii) Given that the relationship between L and T² is given by Log L = Log T² – Log 39.44

where g is a constant. Use the graph to determine the value of g. g

(4marks)

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