1. Monday(10/05): Intro. to Ch.6 - Circular Motion and Other

Applications of Newton's Laws. Conical Pendulum, Amusement Park Rotor,

and Cars Rounding Banked/Unbanked Curves.  HW: Read Ch.6, pages

151-162, and solve probs. 1, 5, 7, 9, 11, and 13 on pages 172-3.

2. Tuesday(10/06): Lab - The Conical Pendulum.  HW:  Process lab

data and solve application problems.

3. Wednesday(10/07): Post-Lab Discussion.  HW: Write Abstract for

Lab report (due Monday).

4. Thursday(10/08): Motion in the Presence of Resistive Forces.

Air-drag at High Speeds.  HW: Read Ch.6, pages 162-167, and solve

probs. 15, 22, 25, 33, 35, and 39 on pages 173-5.

5. Friday(10/09): FAU Engineering Competition. HW: Finish all

assigned work.

6. Monday(10/12): Review Ch.6. HW: Complete Review Handout.

7. Tuesday(10/13): Test on Ch.6 - Circular Motion and Applications

of Newton's Laws.  HW: Go to website for notes on Ch.7 - Work and

Energy.

Very Important: If you have any questions or miss a class, see me

before school (8:00 - 8:30 AM), during Lunch, or after school. Best to

send an email to persinr@palmbeach.k12.fl.us.

WEBSITE NOTES: AP Physics, Ch.6. - Circular Motion and Other

Applications of Newton's laws.

1. Newton's second law applied to a particle moving in uniform circular

motion states that the net force must be toward the center.

2. Uniform circular motion occurs when an acceleration of constant

magnitude is perpendicular to the tangential velocity and the object

maintains a constant speed but is accelerated toward the center of

the circle.

3. This introduces the concept of centripetal acceleration, a = v²/r ,

and, by Newton's second Law, centripetal force, F = mv²/r . We have

already derived these equations.

4. The central force acting on an object that provides the centripetal

acceleration could be have its origin in the following: (i) the force of

gravity (as in satellite motion), (ii) the force of friction (as in a car

rounding a curve), or (iii) a force exerted by a string (motion in a

horizontal circle).

5. In the case of motion in a vertical circle, the force of gravity provides

the tangential acceleration and part or all of the centripetal acceleration.

The tension in the string is maximum at the bottom of the circle and

minimum at the top.

6. For the conical pendulum, the horizontal component of the tension in

the string provides the centripetal force.

7. In the case of a car rounding an unbanked curve, the force of static

friction is the central force.

8. When the curved roadway is banked at an angle, then the horizontal

component of the normal force is centripetal.

9. If a particle moves along a curved path in such a way that the

magnitude and direction of v change with time, the particle has an

acceleration vector that can be described with two component vectors.

10. The radial component vector arises from the change in direction of

v , which is the centripetal acceleration, a = v²/r .

11. The tangential component vector is based on the change in

magnitude of v , and is found with the derivative dv/dt .

12. The total acceleration can be found with the vector sum of these

two accelerations which occur at right angles, so we use the

Pythagorean Theorem and inverse tangent.

13. An object moving through a liquid or gas experiences a speed-

dependent resistive force. The magnitude of the resistive force depends

on the size and shape of the object and the properties of the medium

through which the object is moving.

14. In the limiting case for a falling object, when the magnitude of the

resistive force equals the objects weight, the object reaches its terminal

 speed.

15. And still, we need these steps to solve any problem in Physics:

(i) read the problem and identify the given variables

(ii) determine what you are asked to solve for

(iii) find the correct vector formula to use

(iv) use Algebra, Trigonometry, and/or Calculus to isolate the unknown

(v) substitute-in the given information and simplify.