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A-level Physics



Unit G484:
The Newtonian
World




Examples of
circular motion
Circular motion
Moving in a circle                              LOs



What provides the
centripetal force in
each of these
situations?
                       The Moon in orbit around    Cornering on a perfectly
                       the Earth.                  banked surface.




                               Protons moving
                               around the
                               LHC.               Cornering on a horizontal
                                                  surface.

Circular motion
Lesson focus
  • Identifying the origins of centripetal force


  Learning objectives
  At the end of the lesson you will be able to:

  • use the equation for centripetal acceleration a = v2/r ;
  • use the equation for centripetal force F = ma = mv2/r ;
  • identify and quantify centripetal force in a variety of situations.




Circular motion
Learning outcomes
  All of you should be able to
  • quantify centripetal forces for simple situations in which objects
    move in horizontal circles.

  Most of you will be able to
  • describe the variation of centripetal force on the surface of a
    spinning sphere.

  Some of you may be able to
  • describe the origin and variation of centripetal forces for motion in
    vertical circles.




Circular motion
Conical pendulum   LOs




 To do
 Explain the motion of the conical pendulum

 Things to think about:
 • What forces act on the pendulum?
 • What is the vertical motion of the pendulum
   bob?
 • Can you write an equation to describe the
   vertical forces?
 • What provides the centripetal force?




Circular motion
Conical pendulum   LOs




Circular motion
Conical pendulum                                         LOs




                                T




         Questions
         1. Resolve T into horizontal and vertical components (TH and TV
            respectively). Label TH and TV in terms of T and .

         2. What provides the centripetal force here?


Circular motion                                  LO 2: use the equation for centripetal force
2824 Jan., 2009   Conical pendulum                               LOs




MS

Circular motion            LO 2: use the equation for centripetal force
2824 Jan., 2009   Conical pendulum                               LOs




 MS

Circular motion            LO 2: use the equation for centripetal force
2824 Jan., 2008   Conical pendulum                               LOs




 MS


Circular motion            LO 2: use the equation for centripetal force
2824 Jan., 2008   Conical pendulum                               LOs




 MS

Circular motion            LO 2: use the equation for centripetal force
2824 Jan., 2008   Conical pendulum                             LOs




 MS


Circular motion         LO 2: use the equation for centripetal force
Conical pendulum                                    LOs



                                                    2824 Jan., 2008




 MS


Circular motion         LO 2: use the equation for centripetal force
2824 Jan., 2008   Conical pendulum                               LOs




 MS


Circular motion            LO 2: use the equation for centripetal force

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  • 1. A-level Physics Unit G484: The Newtonian World Examples of circular motion Circular motion
  • 2. Moving in a circle LOs What provides the centripetal force in each of these situations? The Moon in orbit around Cornering on a perfectly the Earth. banked surface. Protons moving around the LHC. Cornering on a horizontal surface. Circular motion
  • 3. Lesson focus • Identifying the origins of centripetal force Learning objectives At the end of the lesson you will be able to: • use the equation for centripetal acceleration a = v2/r ; • use the equation for centripetal force F = ma = mv2/r ; • identify and quantify centripetal force in a variety of situations. Circular motion
  • 4. Learning outcomes All of you should be able to • quantify centripetal forces for simple situations in which objects move in horizontal circles. Most of you will be able to • describe the variation of centripetal force on the surface of a spinning sphere. Some of you may be able to • describe the origin and variation of centripetal forces for motion in vertical circles. Circular motion
  • 5. Conical pendulum LOs To do Explain the motion of the conical pendulum Things to think about: • What forces act on the pendulum? • What is the vertical motion of the pendulum bob? • Can you write an equation to describe the vertical forces? • What provides the centripetal force? Circular motion
  • 6. Conical pendulum LOs Circular motion
  • 7. Conical pendulum LOs T Questions 1. Resolve T into horizontal and vertical components (TH and TV respectively). Label TH and TV in terms of T and . 2. What provides the centripetal force here? Circular motion LO 2: use the equation for centripetal force
  • 8. 2824 Jan., 2009 Conical pendulum LOs MS Circular motion LO 2: use the equation for centripetal force
  • 9. 2824 Jan., 2009 Conical pendulum LOs MS Circular motion LO 2: use the equation for centripetal force
  • 10. 2824 Jan., 2008 Conical pendulum LOs MS Circular motion LO 2: use the equation for centripetal force
  • 11. 2824 Jan., 2008 Conical pendulum LOs MS Circular motion LO 2: use the equation for centripetal force
  • 12. 2824 Jan., 2008 Conical pendulum LOs MS Circular motion LO 2: use the equation for centripetal force
  • 13. Conical pendulum LOs 2824 Jan., 2008 MS Circular motion LO 2: use the equation for centripetal force
  • 14. 2824 Jan., 2008 Conical pendulum LOs MS Circular motion LO 2: use the equation for centripetal force