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Intro to Simple Pendulum

In case of a ...

Question

In case of a simple pendulum the cause of damping is:

A

drag force of air

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B

gravity

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C

tension in string

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D

none of the above

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Solution

The correct option is A drag force of air
Drag force of air causes the damping of the simple pendulum. The air exerts a drag force (or resistance) on the pendulum due to which some energy is continuously lost and thus the pendulum comes to rest finally.

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Q. Logarithmic decrement method is used to determine the amount of damping in a physical system.
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Q. If a simple pendulum has a significant amplitude (up to a factor of 1/e of original) only in the period between t=0 s to t=

τ

τ

may be called the average life of the pendulum. When the spherical Bob of the pendulum suffers a retardation (due to viscous drag) proportional to it's velocity, with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds

Q. If a simple pendulum has significant amplitude (up to a factor of

1 / e

of original) only in the period between

t = 0 s

t = τ s

τ

may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity, with

b

' as the constant proportionality, the average life time of the pendulum in seconds (assuming damping is small) in second :-

Q. A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector

\to a

is correctly shown in (see figure.)

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