# LECTUR~10_13.5 - 13.5 EQUATIONS OF MOTION NORMAL AND...

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13.5: EQUATIONS OF MOTION: NORMAL AND TANGENTIAL COORDINATES

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EQUATIONS OF MOTION: NORMAL AND TANGENTIAL COORDINATES Today s Objectives : Students will be able to: 1. Apply the equation of motion using normal and tangential coordinates. In-Class Activities : Applications Equation of Motion Using n-t Coordinates Concept Quiz Group Problem Solving Attention Quiz
READING QUIZ 2. The positive n direction of the normal and tangential coordinates is ____________. A) normal to the tangential component B) always directed toward the center of curvature C) normal to the bi-normal component D) All of the above. 1. The normal component of the equation of motion is written as Σ F n =m a n , where Σ F n is referred to as the _______. A) impulse B) centripetal force C) tangential force D) inertia force

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APPLICATIONS Race track turns are often banked to reduce the frictional forces required to keep the cars from sliding up to the outer rail at high speeds. If the car s maximum velocity and a minimum coefficient of friction between the tires and track are specified, how can we determine the minimum banking angle (q) required to prevent the car from sliding up the track?
APPLICATIONS (continued) This picture shows a ride at the amusement park. The hydraulically-powered arms turn at a constant rate, which creates a centrifugal force on the riders. We need to determine the smallest angular velocity of cars A and B such that the passengers do not lose contact with their seat. What parameters are needed for this calculation?

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APPLICATIONS (continued) Satellites are held in orbit around the earth by using the earth s gravitational pull as the centripetal force – the force acting to change the direction of the satellite s velocity. Knowing the radius of orbit of the satellite, we need to determine the required speed of the satellite to maintain this orbit. What equation governs this situation?
NORMAL & TANGENTIAL COORDINATES (Section 13.5)

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