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Dynamics: Episode XII Round and Round we go!!

This educational content delves into the concepts of translational motion (sliding) and rotational motion (spinning), explaining key aspects like angular position, fixed axis, unit circle, and more. Dive into the intricacies of motion physics with practical examples and thorough explanations.

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Dynamics: Episode XII Round and Round we go!!

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  1. Dynamics: Episode XII Round and Round we go!!

  2. Translational Motion: Motion in a straight line (sliding) Rotational Motion: Circular motion about an axis (spinning) *Rotation is about internal axis *Revolution is about external axis Rigid Body: Body that rotates with all its parts (mass) “locked” together without any change in shape Fixed Axis: (Axis of rotation/Rotation axis) Where axis does not move-every point of body moves in a circle whose center lies on the axis of rotation

  3. Unit Circle X=r cosθ Y=r sinθ

  4. Angular Position Rotation axis Reference line (fixed on body-origin or point of zero angular position) motion Final position Arc length from origin to final (s) Origin Radius of object (r) Angular Position (θ)= Angular measure in radians or θ = s/r *If ref. line completes 2 revolutions, the angular position is 4π rad. (overhead view) Where r=s, area =1 radian 1 rev=360°=2π rad≈6 rad……1 rad=57.3°=0.159 rev

  5. Ex. A NASCAR racing fan observes a race car entering a turn 1000 m from their position in the middle of the turn. If the track is an oval with 3000 m straight-aways, find the total distance of the track. 1000 m Given: r=1000 m ½ circle=180° (or π radians) l ---3000 m--l S=rθ….(1000 m)(π)=3,141 m X 2= 6,283.2 +6,000.0 12,283.2 m OR S=rθ….(1000 m)(2 π)= 6,283.2 +6,000.0 12,283.2

  6. HW 7-1

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