Classical Mechanics, Motion under Gravity, Motion on Inclines

In summary, the conversation revolved around the speaker's brilliant idea to include examples using different coordinate systems in their work on free falling body and block on incline problems. The speaker hopes that this will demonstrate the importance of choosing an appropriate coordinate system. The conversation also touches on the idea of brilliant ideas coming at 3am due to the influence of caffeine and references the movie "The Exorcism of Emily Rose" where a priest suggests that this is the hour when demons have the most power.
  • #1
hotvette
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I had a brilliant idea last night at 3am (why do all brilliant ideas seem to come at 3am when your mind is racing from injesting far too much caffine during the day?) to include a couple of examples using different choices of coordinate systems. So, I did the free falling body and block on incline problems again w/ different coordinate systems. This will hopefully show the impact of choosing an appropriate coordinate system.

Anyway, here goes, and this one is it, done, finished, final, fertig, fini, finito, terminado, befejezett, обработанный, 出来上がる:bugeye:
 

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  • #2
Very nice! Thanks for showing the impact of different coordinate systems!
 
  • #3
hotvette said:
I had a brilliant idea last night at 3am (why do all brilliant ideas seem to come at 3am when your mind is racing from injesting far too much caffine during the day?
In the movie "The Exorcism of Emily Rose" a priest suggests that it is the hour when demons are activated
 
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FAQ: Classical Mechanics, Motion under Gravity, Motion on Inclines

What is classical mechanics?

Classical mechanics is a branch of physics that deals with the motion of macroscopic objects, such as particles, objects, and systems of objects. It is based on the laws of motion and gravitation as described by Sir Isaac Newton in the 17th century.

How does gravity affect motion?

Gravity is a fundamental force that attracts objects towards each other. In classical mechanics, it is described by Newton's law of universal gravitation, which states that 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 gravity affects the motion of objects by accelerating them towards each other.

How does motion on inclines differ from motion on a flat surface?

Motion on inclines involves the motion of objects on an inclined surface, such as a ramp or a hill. In this case, gravity acts on the object in a slightly different direction, causing it to accelerate down the incline. This acceleration can be calculated using trigonometry and is affected by factors such as the angle of the incline and the mass of the object.

What is the difference between linear and projectile motion?

Linear motion is the motion of an object in a straight line, while projectile motion is the motion of an object through the air or space under the influence of gravity. In linear motion, the object's velocity and acceleration are in the same direction, while in projectile motion, the object's velocity and acceleration are in different directions due to the force of gravity.

How do you calculate the trajectory of a projectile?

The trajectory of a projectile can be calculated using equations of motion, such as the equations for displacement, velocity, and acceleration. The initial conditions, such as the initial velocity and angle of projection, are also important factors in determining the trajectory. The trajectory can also be visualized using a graph or a mathematical model.

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