Chapter 6:Circular motion and Gravitation - PowerPoint PPT Presentation

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Chapter 6:Circular motion and Gravitation

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  1. Chapter 6:Circular motion and Gravitation

  2. Work out the radial acceleration of the moon around the earth.

  3. Ferris wheel

  4. Conical Pendulum Center-seeking Force: Tension Circular Motion

  5. Conical Pendulum

  6. No Skidding on a Curve (I) Center-seeking Force : Static Friction msmin= ?

  7. No Skidding on a Curve (II) m =1000 kg r = 50.0 m C v = 14.0 m/s

  8. No Skidding on Banked Curve arad +

  9. 6-54.When the system rotates about the rod the strings are extended as shown. The tension in the upper string is 80 N

  10. 6-55 . As the bus rounds a flat curve at constant speed, a package suspended from the luggage rack on a string makes an angle with the vertical as shown.

  11. Gravitation Newton’s Law of Gravitation

  12. Gravitational attraction Note: Two particles of different mass exert equally strong gravitational force on each other

  13. Gravitational Forces (I) MM MM ME FG = G r 2 ‘‘AttractiveForce” ME

  14. Why is the Aggie not falling off the earth? Remember there is equally strong attraction between the earth and the Aggie and vice versa

  15. Cavendish balance Cavendish(1798) announced that he has weighted the earth

  16. Average Density of the Earth g = 9.80 m/s2 RE = 6.37 x 106 m ME = 5.96 x 1024 kg • rE = 5.50 x 103 kg/m3 = 5.50 g/cm3 ~ 2 xrRock

  17. Projectile

  18. Circular orbit The larger r then slower the speed and the larger the period

  19. Work and Energy

  20. Black hole Steven Hawkins is associated with the department of Physics and Astronomy at TAMU

  21. (will be derived later) r How can the sun become a Black Hole? This would increase the sun’s mass. There is a second way: Decrease sun radius