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1P1: Mechanics Sections 1-3
University Of Cambridge Engineering Undergraduate Course Flashcards
12
Engineering
Undergraduate 1
12/13/2024

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Term
Inertial Frame Of Reference
Definition
A frame of reference in which Newton's Laws can be applied.

(No acceleration or angular velocity with respect to some imaginary fixed coordinate system describing the universe)
Term
[image]
Definition
Coordinates: (x,y,z)
Unit Vectors: i,j,k or [image]
Position Vector: r = xi + yj + zk
Term
[image]
Definition
Coordinates: ([image])
Unit Vectors: [image]
Position Vector: [image]
Term
[image]
Definition
Coordinates: ([image] )
Unit Vectors: [image]
Position Vector: [image]
Term
[image]
Definition
Coordinates: ([image])
Unit Vectors: [image]
Position Vector: N/A
Term
Cartesian Velocity and Acceleration Calculations
Definition
[image]
Term
Generalised Expression for the differentiating of rotating unit vectors.[image] is the proof.
Definition
The unit vector are rotated with angular velocity: [image]
[image]
Term
Polar Velocity and Acceleration Calculations
Definition
[image]
Term
Intrinsic Velocity and Acceleration Calculations
Definition
[image]
Term
Equivalence of coordinate systems (velocity)
Definition
[image]
Term
Equivalence of coordinate systems (acceleration)
Definition
[image]
Term
Numerical Differentiation
[image]
Definition
[image]
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