Question: 3. A ball of mass m slides on a frictionless horizontal plane on Earth's surface. Show that the motion of the ball is similar

3. A ball of mass m slides on a frictionless horizontal plane

3. A ball of mass m slides on a frictionless horizontal plane on Earth's surface. Show that the motion of the ball is similar to that of a Foucault pendulum provided the mass remains near the point of tangency. Find the time period and frequency of the oscillations. 4. A bob of mass m of a pendulum of length L is set in motion so as to swing in a circle. Calculate the contribution due to the Coriolis force; that is, show that its precessional frequency is approxi- mately -w sin A. Note that the vertical component of the Coriolis force may be neglected because on the average it is zero.

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