Question

A pendulum having a bob of mass m is hanging in a ship sailing along the equator from east to west. When the ship is stationary with respect to water, the tension in the string is $T_0$. Find the difference between tension when the ship is sailing with a velocity $v$.

• A. $mv\omega$
• B. $2mv\omega$
• C. $\frac{mv\omega }{2}$
• D. $\sqrt{2}mv\omega$

Answer 1

The correct option is B $2mv\omega$

Additional force is Coriolis force which acts perpendicular to the plane of motion. so $\Delta T=2mv\omega$ .

This force causes moving objects on the surface of the Earth to be deflected to the right (with respect to the direction of travel) in the Northern Hemisphere and to the left in the Southern Hemisphere.