Phys205A_Lecture14

# Physics for Scientists & Engineers with Modern Physics (4th Edition)

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CHAPTER 6 Circular Motion: Forces

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Circular Motion: Tangential and Radial acceleration r v a a direction in Change dt d a speed in Change r c t 2 | | | | = = = accel. l centripeta tangential v
Centripetal force F c : NET force pointing along radial direction - Magnitude: F c = mv 2 /r - Direction: Towards the center of the circle It may be originated by any interaction/s!! r v m ma F r v a c c c 2 2 = = =

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Example 1 : A model airplane of mass M kg flies in a horizontal circle at the end of a L -m control wire, with a speed of v m/s. Compute the tension in the wire T if it makes a constant angle of θ 0 with the horizontal. Θ
Θ

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Example 2: A pilot of mass m in a jet aircraft moves in vertical circle of radius 2.7 km at a constant speed of 225 m/s. Determine the force exerted by the seat on the pilot a) at the bottom of the loop and b) at the top of the loop. Concept: we have constant centripetal force in A and B But components of this force are different in A and B Categor.:
Motion in presence of changing resistive forces

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Phys205A_Lecture14 - CHAPTER 6 Circular Motion Forces...

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