Simple Pendulum Physics Practical class 11 | study variation of time period EP 7

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Aim:
To study variation of time period of a simple pendulum of a given length by taking bobs of same size but different masses and interpret the result.

Apparatus:

A Clamp With Stand
Bob with Hook of Different Masses
Split Cork
Stop Clock/Stop Watch
Vernier Callipers
Cotton Thread
Half Meter Scale
Theory:

See Experiment 6.

The time period (T) of a simple pendulum for oscillations of small amplitude, is given by the relation,
T = 2π√(L/g) or T2 = (4π2/g) × L
∴ T ∞√L and T ∞ 1/(√g)
From the above equation, it clearly indicates that the time period of a simple pendulum is independent of mass i.e. for the same value of L and g, the time period of two bobs of different masses will be the same.

Procedure:

1. Choose any three bobs of known masses and determine their radius as in Experiment 1.
2. Now, arrange the experiment set up for first bob (say mass m1) with any effective length of simple pendulum (say 90 cm) as explained in Experiment 6. The effective length of the simple pendulum will be kept same in each case.
3. Record average time taken for 20 or 25 oscillations by the simple pendulum by performing step 4 to 15 as explained in Experiment 6.
4. Calculate the time periods for each bob and record them in table 7.1.

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