Kinematics and Dynamics Flashcards

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1
Q

Dot product

A

When multiplying two vectors to get a scalar

A•B=|A||B|cosθ

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2
Q

Cross product

A

When multiplying two vectors to get vector

AxB= |A||B|sinθ

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3
Q

Vector Addition

A

The resultant vector of A+B is the same as B+A

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4
Q

Vector Subtraction

A

Resultant vector of A-B has same magnitude as B-A but oriented in the opposite direction

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5
Q

Displacement

A

A change in position in space. It is a vector quantity, with magnitude and direction

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6
Q

Velocity (m/s)

A

It is a vector. It’s magnitude is measured as the rate of change of displacement in a given unit of time. Direction is the same as the direction of the displacement.

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7
Q

Speed

A

Rate of actual distance traveled in a given unit of time.

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8
Q

Force (N=(Kg•m)/s^2)

A

A vector quantity, experienced as a push or pull on objects, and can exist on objects that are not touching

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9
Q

Gravitational Constant (G)

A

6.67x10^-11 (N•m^2)/kg^2

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10
Q

Static Friction

A

Exists between stationary object and the surface it rests.
0<=fs<=μsN
Always larger then kinetic friction, and dissipates as you get an object in motion

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11
Q

Kinetic Friction

A

Exists between a sliding object and the surface over which the object slides. Always present when there is sliding of two surfaces, so always constant unlike static friction.
fx=μkN

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12
Q

Mass

A

Measure of a bodies inertia, the amount of matter in the object. A scalar quantity; independent of gravity.

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13
Q

Weight

A

Measure is gravitational force on an objects mass. It is a vector because it is a force.

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14
Q

Acceleration (m/s^2)

A

The rate of change of velocity that an object experienced as a result of some applied force. A vector quantity

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15
Q

Newton’s first law

A

A body at rest or in motion with constant velocity will remain that way unless a net force acts upon it. Law of Inertia.
Fnet=ma=0

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16
Q

Newtons Second Law

A

An object of mass m will accelerate when the vector sum of the forces results in some nonzero resultant force vector.
Fnet=ma

17
Q

Newtons Third Law

A

To every action, there is always an opposed but equal reaction. Law of action and reaction.

18
Q

Linear motion

A

Objects velocity and acceleration are along the line of motion so the pathway of the moving object continues along a straight line

19
Q

Kinematics (no displacement)

A

v=vo+at

20
Q

Kinematics (no final velocity)

A

x= vot + (at^2)/2

21
Q

Kinematics (no time)

A

v^2=vo^2+2ax

22
Q

Kinematics (no acceleration)

A

x=vt

23
Q

Projectile motion

A

Motion that follows a path along two dimensions.

24
Q

Incline planes (force components)

A

Fg parallel=mgsinθ

Fg perpendicular=mgcosθ

25
Q

Circular Motion

A

Occurs when forces cause an object to move in a circular pathway.
Fc=(mv^2)/r

26
Q

Uniform circular motion

A

Motion that contains instantaneous velocity vector tangent to the circular paths with centripetal force pointing radially inward. Constant speed/velocity

27
Q

Translational motion

A

Occurs when forces cause an object to move without any rotation

28
Q

Rotational motion

A

When forces are applied against an object in such a way as to cause the object to rotate around a fixed pivot point (fulcrum)

29
Q

Torque

A

Generates rotational motion
τ=rxF=rFsinθ
Clockwise rotation=negative
Counterclockwise rotation=positive