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ODEs and Applications > 7) Introduction to Mechanics > Flashcards

7) Introduction to Mechanics Flashcards

1
Q

What are particles

A

Objects that occupy a single point in space (Aka point masses)

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2
Q

What is velocity

A

Time derivative of the position vector

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3
Q

What is speed

A

The absolute magnitude of velcoity
|v(t)|

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4
Q

What is the direction of the velocity vector

A

v(t) is tangent to the trajectory of the
particle at the location r (t)

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5
Q

What is momentum

A
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6
Q

What is acceleration

A
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7
Q

What Newton’s 2nd Law of Motion

A

F = ma

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8
Q

What is Weight

A
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9
Q

What is Drag

A
where γ is some positive constant
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10
Q

What would be the equation for result force on a particle

A
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11
Q

What is the position vector for circular motion

A
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12
Q

What is the vecloity for circular motion

A
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13
Q

What is the acceleration for circular motion

A
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14
Q

How is the path of a pendulum defined

A
ℓ is the length of the rod
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15
Q

What is the acceleration of a pendulum

A
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16
Q

What is the tension of a rod

A
17
Q

What is the equation of motion for a pendulum

A
18
Q

What is a unit vector of circular motion

A
19
Q

What is a force field

A
  • A force field is a force acting on a particle which depends only on the position of that particle
  • e.g (Gravity is a force field, the tension in the pendulum rod would not be)
20
Q

What is a central force field

A

A central force field is one which has magnitude depending only on the distance to the origin, and has direction parallel to the particle’s position vector.

21
Q

What is the equation of a central force

A
22
Q

What is newtonian gravity

A
G ≈ 6.67×10−11m^3kg^−1s^−2 is the gravitational constant
23
Q

What is electrostatic repulsion

A
k ≈ 8.99N m^2C^−2 is Coulomb’s constant
24
Q

Describe circular motion for central forces

A
25
Q

What is the period of motion

A
26
Q

What is a conservative force field

A
27
Q

What is potential energy

A

ODEs and Applications (11 decks)

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