LN_Sec_12-4_12-5 - CURVILINEAR MOTION: RECTANGULAR...

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CURVILINEAR MOTION: RECTANGULAR COMPONENTS (Sections 12.4-12.5) Today’s Objectives : Students will be able to: a) Describe the motion of a particle traveling along a curved path. b) Relate kinematic quantities in terms of the rectangular components of the vectors. In-Class Activities : Check homework, if any Reading quiz Applications General curvilinear motion Rectangular components of kinematic vectors Concept quiz Group problem solving Attention quiz
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READING QUIZ 1. In curvilinear motion, the direction of the instantaneous velocity is always A) tangent to the hodograph. B) perpendicular to the hodograph. C) tangent to the path. D) perpendicular to the path. 2. In curvilinear motion, the direction of the instantaneous acceleration is always A) tangent to the hodograph. B) perpendicular to the hodograph. C) tangent to the path. D) perpendicular to the path.
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APPLICATIONS The path of motion of each plane in this formation can be tracked with radar and their x, y, and z coordinates (relative to a point on earth) recorded as a function of time. How can we determine the velocity or acceleration of each plane at any instant? Should they be the same for each aircraft?
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APPLICATIONS (continued) A roller coaster car travels down a fixed, helical path at a constant speed. How can we determine its position or acceleration at any instant? If you are designing the track, why is it important to be able to predict the acceleration of the car?
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A particle moving along a curved path undergoes curvilinear motion . Since the motion is often three-dimensional, vectors are used to describe the motion. A particle moves along a curve defined by the path function, s. The position of the particle at any instant is designated by the vector r = r (t). Both the magnitude and direction of r may vary with time. If the particle moves a distance
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This note was uploaded on 01/26/2010 for the course ENGR 2302 taught by Professor Thomaspressly during the Spring '08 term at Austin Community College.

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LN_Sec_12-4_12-5 - CURVILINEAR MOTION: RECTANGULAR...

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