Classical Mechanics: Gravitation, SHM

In summary, classical mechanics is the study of the motion of particles and systems under the influence of forces. Gravitation is a fundamental force that causes massive objects to attract each other and is responsible for the motion of celestial bodies. According to Newton's law of gravitation, the force of attraction between two objects is directly proportional to their masses and inversely proportional to the square of the distance between them. Simple harmonic motion is a type of periodic motion characterized by a restoring force that is directly proportional to the displacement of the particle from its equilibrium position. It can be observed in various systems and has practical applications in fields such as engineering.
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lifeonfire
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Homework Statement


Let a particle slides in a straight smooth tube passing obliquely through the Earth. Assuming no friction and no rotational effects. Describe the motion. Find Frequency and Period.


Homework Equations


F = -GMm/r^2



The Attempt at a Solution


Don't know how to solve it.
 
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Did you make a sketch of the problem to visualize what is happening? Can you tell in words what will happen to the particle?
 

1. What is classical mechanics?

Classical mechanics is a branch of physics that studies the motion of particles and systems under the influence of forces.

2. What is gravitation?

Gravitation is a fundamental force of nature that causes massive objects to attract each other. It is responsible for the motion of planets, stars, and galaxies.

3. How does gravitation affect the motion of celestial bodies?

According to Newton's law of gravitation, the force of attraction between two objects is directly proportional to their masses and inversely proportional to the square of the distance between them. This means that the larger the masses of two objects and the closer they are, the stronger the gravitational force between them.

4. What is simple harmonic motion (SHM)?

Simple harmonic motion is a type of periodic motion in which a particle moves back and forth along a straight line with a constant amplitude and a constant period. It is characterized by a restoring force that is directly proportional to the displacement of the particle from its equilibrium position.

5. How can SHM be applied in real-life situations?

SHM can be observed in various systems, such as a pendulum, a mass attached to a spring, or the motion of a vibrating guitar string. It also has practical applications in fields like engineering, as it can be used to design and analyze systems that exhibit simple harmonic motion.

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