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A pendulum having a bob of mass \( m \) is hanging in a ship sailing along the equator from east to west. When
\( \mathrm{P} \) the ship is stationary with respect to water the tension in the string is \( T_{0} \). (a) Find the speed of the ship due to
W rotation of the earth about its axis. (b) Find the difference between \( T_{0} \) and the earth's attraction on the bob. (c) If the ship sails at speed \( v \), what is the tension in the string ? Angular speed of earth's rotation is \( \omega \) and radius of the earth is \( R \).
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