Cm 4 the conical pendulum (shared)

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Circular motion

A-level Physics

Unit G484: The Newtonian World

Examples of circular motion

A-level Physics

Unit G484: The Newtonian World

Examples of circular motion

Circular motion

What provides the

centripetal force in

each of these

situations?

The Moon in orbit around the Earth.

Cornering on a horizontal surface.

Cornering on a perfectly banked surface.

Protons moving around the LHC.

Moving in a circle LOs

Circular motion

Learning objectivesAt the end of the lesson you will be able to:

Lesson focus• Identifying the origins of centripetal force

• 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

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?

T

LO 2: use the equation for centripetal force

Conical pendulum LOs

Circular motion LO 2: use the equation for centripetal force

MS

Conical pendulum LOs2824 Jan., 2009

Circular motion LO 2: use the equation for centripetal force

MS

Conical pendulum LOs2824 Jan., 2009

Circular motion LO 2: use the equation for centripetal force

MS

Conical pendulum LOs2824 Jan., 2008

Circular motion LO 2: use the equation for centripetal force

MS

Conical pendulum LOs2824 Jan., 2008

Circular motion LO 2: use the equation for centripetal force

MS

Conical pendulum LOs2824 Jan., 2008

Circular motion LO 2: use the equation for centripetal force

2824 Jan., 2008

MS

Conical pendulum LOs

Circular motion LO 2: use the equation for centripetal force

MS

Conical pendulum LOs2824 Jan., 2008