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
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