LECTUR~4_12.7 - MEC 1392 DYNAMICS LECTURE 1 SECTION 12.7 DR...

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DR. SANISAH SAHARIN (E1-5-2.14) MEC 1392 DYNAMICS LECTURE 1: SECTION 12.7
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CURVILINEAR MOTION: NORMAL AND TANGENTIAL COMPONENTS Today s Objectives : Students will be able to: 1. Determine the normal and tangential components of velocity and acceleration of a particle traveling along a curved path. In-Class Activities : Applications Normal and Tangential Components of Velocity and Acceleration Special Cases of Motion Concept Quiz Group Problem Solving Attention Quiz
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READING QUIZ 1. If a particle moves along a curve with a constant speed, then its tangential component of acceleration is A) positive. B) negative. C) zero. D) constant. 2. The normal component of acceleration represents A) the time rate of change in the magnitude of the velocity. B) the time rate of change in the direction of the velocity. C) magnitude of the velocity. D) direction of the total acceleration.
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APPLICATIONS Cars traveling along a clover-leaf interchange experience an acceleration due to a change in velocity as well as due to a change in direction of the velocity. If the car s speed is increasing at a known rate as it travels along a curve, how can we determine the magnitude and direction of its total acceleration? Why would you care about the total acceleration of the car?
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APPLICATIONS (continued) As the boy swings upward with a velocity v , his motion can be analyzed using n–t coordinates. As he rises, the magnitude of his velocity is changing, and acceleration as well. How can we determine his velocity and acceleration at the bottom of the arc? Can we use different coordinates, such as x-y coordinates, to describe his motion? Which coordinate system would be easier to use to describe his motion? Why? y x
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APPLICATIONS (continued) A roller coaster travels down a hill for which the path can be approximated by a function y = f(x). The roller coaster starts from rest and increases its speed at a constant rate. How can we determine its velocity and acceleration at the bottom?
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NORMAL AND TANGENTIAL COMPONENTS (Section 12.7) When a particle moves along a curved path, it is sometimes convenient to describe its motion using coordinates other than Cartesian.
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