A simple pendulum is a device in which a mass \( m \) (bob) is \( \mathrm{P} \) suspended from a...

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A simple pendulum is a device in which a mass \( m \) (bob) is
\( \mathrm{P} \) suspended from a support by means of a string (figure-6.108). If

W the string is pulled aside by a small angle from the vertical and released, the bob executes simple harmonic motion. For two pendula whose bob have the same gravitational mass, at one of which has an inertial mass \( 1 \% \) larger than the other, show that the one with the larger inertial mass has a time period approximately \( 0.5 \% \) greater than the other one.
Figure \( 6.108 \)
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