Mechanics - Simple pendulum - Experiment 5

EXPERIMENT NO. 5

The aim of this experiment is to find the ratio P defined in part (d) by using a simple pendulum.
Suspend the pendulum bob with its upper part of the string fixed on a retort clamp as shown in figure below. Make a knot Nat a distance of L =10cm from the bob B. While X is the distance between the point of suspension S to a knot N on the string
Set X=60cm and pull the bob aside at a small angle so that it can start swinging vertically
(a)  Record the time t for 30 oscillations of the pendulum bob
(b)  Repeat the above procedure for the values of X= 50, 40, 30, 20 and 10cm and record all the time t for each respective oscillations and calculate the period T. tabulate results for X, t, T and T2
(c)   Plot a graph of T2 (vertical axis) against X (horizontal axis)
(d)  Determine the value of the slope, S and Y-intercept of the graph
(e)  Compute the ratio $$P={y-intercept\over S}$$
(a)  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

SOURCES 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

PRECAUTIONARY MEASURES IN REDUCING THE EFFECTS OF ERRORS
i)    Conduct the experiment in a part of the laboratory free from drought
ii)   Zero error of the metre rule should do be treated
iii) Angle of displacement of the bob should be kept as small as possible
iv) Sharp pencil should be used in drawing graph
v)   Choose far point when calculating gradient
vi)  Repetition in taking data and uses of average data should be done
vii)  Avoid unnecessary estimation of data or truncation

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