Simple Pendulum


 
 
Concept Explanation
 

Simple Pendulum

Simple pendulum:    

A small mass that is suspended from a fixed point and allowed to swing freely under the influence of gravity is called a pendulum.

•    An ideal, simple pendulum consists of a small mass (like a stone or a metal ball) called a bob suspended by a string. When pendulum is at rest, it is in its mean positions.

•    When the bob moves from one position and returns to the same position, it is said to complete one oscillation. The time taken to complete one oscillation is called the time period of the pendulum.

•    For example, if the bob starts from point A, goes to point B and C, and returns to point A, it completes one oscillation. The observations can be summarized as follows:

•    The time taken by a pendulum to complete one oscillation (i.e., its time period) does not depend on the extent to which the bob of the pendulum is displaced.

•    The time period does not depend on the mass of the bob used ( within reasonable limits)

•    The time period depends on the length of the string or wire used, greater the length of the string, greater is the time period (assuming that the string itself has negligible mass).This means that if the length of the pendulum is fixed, its time period is constant.

 

Sample Questions
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Question : 1

The time taken by the bob to complete one ossilation is 2s then the time taken by the bob to complete 100 oscillations is _____________ s.

Right Option : B
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Question : 2

We have two pendulum one with a ball of mass 5Kg and another with a mass of 10Kg.. Which pendullum will have more time period.

Right Option : C
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Question : 3

If the time period is one second for the oscillations of a simple pendulum. the lengh of the pendulum is _______________ m(if g=10 m s^{-2} and; pi^2=10)

Right Option : D
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