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- 1. Introduction to Periodic Motion CP Physics - Sly
- 2. Periodic Motion: a comparison Projectile motion was an object going up and coming down, ONCE! -vs.- Periodic motion is a repeating motion, that can be described with Newtonian physics and our kinematics equations.
- 3. So we will be looking at the following examples: <ul><li>Circular Motion </li></ul><ul><li>Torque </li></ul><ul><li>Simple Harmonic Motion </li></ul><ul><li>(Springs and Pendulums) </li></ul>The only thing is that these situations require us to describe things differently.
- 4. The human body cannot sense constant velocity… But it has a great ability to sense small shifts in acceleration .
- 5. I. Circular Motion Remember that acceleration is a change in speed or direction.. So an object spinning in a circle can have constant speed, but since its direction is changing, the velocity is changing and therefore acceleration. In circular motion its called Centripetal Acceleration . * Centripeta l: meaning center seeking or towards the center.
- 6. Centripetal acceleration It it a difficult derivation, that I do not want to spend time on, but based on taking two points very close together on a circle (that can be connected by a tangent), we get… a c = v = v 2 t r
- 7. What is Uniform Circular Motion? <ul><li>Based on the car looping around the track, what do you gather? </li></ul>
- 8. Understanding a circle to understand velocity <ul><li>Remember that circumference = 2 r </li></ul><ul><li>Trig tells us one complete cycle is the period (T) </li></ul><ul><li>So velocity is distance around circle divided by time </li></ul><ul><li>V = 2 r </li></ul><ul><li>T </li></ul>
- 9. Why use this for velocity? This makes it easier to determine the velocity of the object, since distance and time can be measured without interfering in the motion.
- 10. Put these two equations together. (derive as a class)
- 11. We also have a force <ul><li>Since there is acceleration toward the center, there is also a force towards the center … </li></ul>Centripetal Force F c = ma c = mv 2 = m(4 2 r) r T 2
- 12. Circular Motion cont. Lets look at this in action…
- 13. One last item, fictional forces <ul><li>To compensate, objects in an accelerating reference frame invent fictional forces to explain motions in Newtonian terms. </li></ul><ul><li>In circular motion, this fictional force is called centrifugal force, or in outward direction opposite of centripetal. </li></ul><ul><li>WHY? (based on momentum) </li></ul>
- 14. So think about riding in a car <ul><li>Consider riding along in a car with your crazy friend, the one who likes to take turns 50 mph. What forces do you feel in a turn to the left in this scary song? </li></ul>If you say a force to the right then you have identified centrifugal force due to your body wanting to move in a straight line. NOT A REAL FORCE When you press against the door, the door applies a centripetal force (along with friction on the seat) to make you turn.

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