Mechanics - Simple pendulum - Experiment 2

EXPERIMENT NO. 1

The aim of this experiment is to determine the acceleration due to gravity using a simple pendulum. You’re provided with a thread, pendulum bob, metre rule, cork, retort stand and a stop watch or stop clock. Hang the pendulum bob on one end of 100-cm length of thread and clamp the other end firmly on the retort clamp using cork. The clamp should be fixed at the edge of the laboratory bench as shown in side and front view diagrams below.
Pull the pendulum bob aside at a small angle so that it swings with small amplitude. Find the time t for 20 oscillations as it swings from point A via C to D. Repeat this procedure with the lengths of thread of 80cm, 60cm, 40cm and 20cm. 

Tabulate your results including the column of period T (second) and T2

Length L (m)
Time t for 20 osc (s)
Period T(s)
T2(s2)
1.0



0.8



0.6



0.4



0.2




a)   Plot the graph of lengths T2(s2) of the thread against L(m)

b)  Find the slope of the graph
c)   Using the relationship $$T={2π}\sqrt{l\over g}$$ Find the value of acceleration due to gravity g
d)  State all possible sources of errors in this experiment and state the precautionary measures that are to be taken in order to reduce the effect of those errors

SOURCEES OF ERRORS IN THE EXPERIMENT
Environmental sources
Wind resistance to the oscillating motion of a pendulum bob

Measurement sources
i)    Errors in measurement of length which may include parallax and zero error of the measuring devices
ii)   Error in timing device like stop watches (errors in starting and stopping a stop watch)
iii) Large angle of displacement of the bob which may disturb to and fro movement of the bob

Graphing error
i)    Uses of blunt pencil in drawing graph
ii)  Too much estimation when drawing graph
iii) Taking very close points when calculating slopes from graph


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