Transcription of Circular Motion Kinematics - MIT
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Circular Motion Kinematics - MIT
Circular Motion Kinematics W04D1 Today s Reading Assignment: MIT Course Notes Chapter 6 Circular Motion Sections Announcements Math Review Week 4 Tuesday 9-11 pm in 26-152. Next Reading Assignment (W04D2): MIT Course NotesChapter 9 Circular Motion Dynamics Sections Kinematics in Two-Dimensions: Circular Motion Polar Coordinate System Coordinates Unit vectors Relation to Cartesian Coordinates (r, ) ( r, ) r=cos i+sin j = sin i+cos j r=x2+y2 =tan 1(y/x)Coordinate Transformations Transformations between unit vectors in polar coordinates and Cartesian unit vectors r(t)=cos (t) i+sin (t) j (t)= sin (t) i+cos (t) j i=cos (t) r(t) sin (t) (t) j=sin (t) r(t)+cos (t) (t)Concept Question: Time Derivative of Position Vector for Circular Motion A point-like object undergoes Circular Motion at a constant speed.
Frequency is the inverse of the period: s=2 ... Power series expressions for trigonometric functions When the angle is small: Using the small angle approximation with , the magnitude of the displacement is sinφ≈φ,cosφ≈1 sinφ=φ− φ3 3! + ...
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