Purchase Solution

Oscillations near the equator.

Not what you're looking for?

Ask Custom Question

Consider (unrealistically) a perfectly spherical rotating planet whose g
value is constant over the surface. A bead lies on a frictionless wire that
lies in the north-south direction across the equator. The wire takes the
form of an arc of a circle; all points are the same distance from the center
of the earth. The bead is released from rest, a short distance from the equator. Because g eff does not point directly toward the earth's center,the bead will head toward the equator and undergo oscillatory motion. What is the frequency of these oscillations?

Purchase this Solution
Solution Summary

A bead on a wire perpendicular to equator is free to move. The frequency of small oscillations across the equator is calculated.

Solution Preview

Please see the attached

Consider (unrealistically) a perfectly spherical rotating planet whose g
value is constant over the surface. A bead lies on a frictionless wire that
lies in the north-south direction across the equator. The wire takes the
form of an arc of a circle; all points are the same distance from the center
of the earth. The bead is released from rest, a short distance from the equator. Because geff does not point directly toward the earth's center, the bead will head ...

Purchase this Solution
Free BrainMass Quizzes
Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Basic Physics

This quiz will test your knowledge about basic Physics.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

The Moon

Test your knowledge of moon phases and movement.

View More Free Quizzes
Related BrainMass Solutions

  • Determining Speed: Spacecraft Example

    When second question is considered, The spacecrafts are launched usually from the locations near the equator because, The spinning of earth will add some speed (and KE) to the space craft.

  • Gravity vs Zero Gravity

    Because the earth is bulged at the poles and the equator, the distance of a person standing at a pole or at the equator, as measured from the centre of the earth is larger, and therefore the force of gravity is lesser.

  • Solar System and Motions of the Planets

    The celestial equator is defined as a extension of earth's equator on to the celestial sphere. Hence for an observer on earth's equator, the pole star will be near the horizon and celestial equator will be directly overhead.

  • Coriolis effect

    367147 Coriolis effect The Coriolis effect results in the: a. rising of air at the equator b. falling of air near the poles c. deflection of moving air dur to the rotation of earth d. altitudinal variations in temperature e.

  • Problems on gravitation, rotational and oscillatory motion

    For a 90 kg person standing at the equator, what is the magnitude of the angular momentum about the Earth's center due to Earth's rotation? 6.

  • Driven Oscillations and Dampness

    94488 Driven Oscillations and Dampness Show that , if a driven oscillator is only lightly damped and driven near resonance, the Q of the system is: Q = 2*Pi {(Total Energy)/(Energy loss during one period)} where Q = Wr/2B Wr = resonance

  • Effects of the Tilt of Earth's Rotation Axis

    Because the oceans are heated more intensely in the equatorial regions, there is abundant warm water near the equator, and cold water in the polar regions.

  • Atmospheric Circulation

    The Coriolis Effect makes the trade winds appear to be curving to the west, whether they are traveling to the equator from the south or north. The trade winds coming from the south and the north meet near the equator.

  • Physical Science: Temperature, Climate, and Renewable Resources

    Winds move warm, moist air upward and poleward from the tropical surface and move cold, dry air downward and toward the equator from higher altitudes and latitudes.

View More Related Solutions