Kinematics & Dynamics Flashcards

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1
Q

SI Units

A

Length = meter, Mass = kilogram, Time = second, Current = ampere (coulomb/second), Amount of a substance = moles, Temp = kelvin, Luminous Intensity = candela

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2
Q

Base unit

A

The standard units around which the system (SI) is designed

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3
Q

Derived unit

A

Associating base units with each other

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4
Q

Newton

A

Unit of force.

1 kg x m/s^2

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5
Q

Derived force unit

A

Newton

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6
Q

Derived work/energy unit

A

Joule

kg x m^2/s^2

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7
Q

Derived power unit

A

Watt

kg x m^2/s^3

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8
Q

Vectors

A

Numbers that have magnitude and direction

Displacement, velocity, acceleration, force

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9
Q

Scalars

A

Numbers that have magnitudes only and no direction

Distance, speed, energy, pressure, mass

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10
Q

Resultant

A

Sum or difference of two or more vectors

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11
Q

Pythagorean Theorem

A

X^2 + Y^2 = V^2

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12
Q

Component method

A

Used to find the Resultant. Add all X and Y sides together then use Pythagorean theorem to find resultant

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13
Q

Vector Subtraction

A

Can be accomplished by adding a vector with equal magnitude, but opposite direction, to the first vector.
A - B = A + (-B)

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14
Q

Dot product

A

Used to generate a scalar quantity from two vectors. The absolute values of A . B cos angle

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15
Q

Cross product

A

Used to generate a third vector like Torque.
The absolute values of A x B sin angle. The resultant of cross product is always perpendicular to the plane created by the two vectors

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16
Q

Displacement

A

Vector quantity that has both magnitude and direction, but does not account for the actual pathway taken between initial and final positions (a full circle would mean 0 displacement) x or d
v = change in x/change in time
v is average velocity, change in x is change in position

17
Q

Distance

A

Scalar quantity that takes into account the pathway taken (italic d)

18
Q

Velocity

A

A vector measured as the rate of change of displacement in a given unit of time, units are meters/second

19
Q

Speed

A

Measured as the rate of actual distance traveled in a given unit of time

20
Q

Instantaneous speed

A

Always equal to the magnitude of the object’s instantaneous velocity (v), which is the average velocity as the change in time approaches zero

21
Q

Average speed

A

Measure of distance traveled in a given period of time

22
Q

Average velocity

A

Measure of displacement of an object over a given period of time

23
Q

Gravity

A

Attractive force felt by all forms of matter. acceleration due to gravity, g, decreases with height above the earth and increases the closer one gets to the Earth’s center of mass.. g = 10 m/s^2

24
Q

Gravitational force

A

Fg = Gm1m2/r^2
Magnitude of gravitational force between two objects
r = distance between their centers of mass
G is universal gravitational constant (6.67 x 10^-11 N x m^2/kg^2)
*If r is halved, Fg will quadruple b/c force is inversely related to the square of distance.
*If m1 is tripled, then Fg will triple b/c mass is directly related to force

25
Q

Friction

A

Type of force that opposes the movement of objects.

Two kinds: Static & Kinetic

26
Q

Static friction

A

Exists between a stationary object and the surface upon which it rests.
f_s=µ_s N
µ_s is the coefficient of static friction
N = normal force

27
Q

Normal force

A

component of the force between two objects in contact that is perpendicular to the plane of contact between the object and the surface upon which it rests.

28
Q

Kinetic friction

A

Exists between a sliding object and the surface over which the object slides.
f_k=µ_k N
* the coefficient of static friction will always be larger than the coefficient of kinetic friction b/c it always requires more force to get an object to start sliding than it takes to keep an object sliding

29
Q

Mass

A

Measure of a body’s inertia–the amount of matter in an object (kg is SI unit)

30
Q

Weight

A

Measure of gravitational force. Fg w/ unit of Newton

Fg = mg where m is mass and g is acceleration due to gravity (9.8 m/s^2)

31
Q

Translational equilibrium

A

Exists only when the vector sum of all of the forces acting on an object is zero

32
Q

First condition of equilibrium

A

When the vector sum of all the forces acting on an object is zero

33
Q

Zero acceleration means

A

Zero net force! This means tat any object with a constant velocity has no net force acting on it. However, just because the net force equals zero does not mean the velocity equals zero.

34
Q

Rotational motion

A

Occurs when forces are applied against an object in such a way as to cause the object to rotate around a fixed pivot point (fulcrum). Torque (moment of force) happens at some distance from the fulcrum and is termed the lever arm

35
Q

Rotational equilibrium

A

Exists only when the vector sum of all the torques acting on an object is zero.

36
Q

Second condition of equilibrium

A

The vector sum of all torques acting on an object is zero

37
Q

Clockwise rotation

A

Considered negative Torque

38
Q

Counterclockwise rotation

A

Considered positive Torque