11.2 Energy in the Simple Harmonic Oscillator

11.1 Simple Harmonic Motion

11.2 Energy in the Simple Harmonic Oscillator

11.3 The Period and Sinusoidal Nature of SHM

11.4 The Simple Pendulum

Objectives:

1.  Students will explain the concept of simple harmonic motion.

2.  Students will relate energy changes to an oscillating object.

3.  Students will connect simple harmonic motion to wave properties.

4.  Students will compare and contrast the properties of a pendulums motion to simple harmonic motion.

Homework: 1-5,7,9,12-15,28-33 p.317-318

Formula Search –Find all formulas state the units and purpose for making calculations.

Vocabulary to Know:

Oscillates Cycle Gravity

Periodic Period Theta

Equilibrium position Frequency Radians

Force SHM

Displacement SHO

Mass Elastic potential energy

Hooke’s Law Kinetic energy

Restoring force Total mechanical energy

Spring constant Velocity

Acceleration Sinusoidal motion

Amplitude Simple pendulum

11.1 Simple Harmonic Motion:

1. Describe periodic motion.

2. Give examples of periodic motion.

3. What is the significance of the equilibrium position?

4. Explain Hooke’s Law.

5. How do the signs of the force indicate motion?

6. How is the spring constant determined?

7. Which terms help describe vibrational motion?

8. Compare and contrast horizontal and vertical oscillation.

9. Give an application for understanding harmonic motion.

11.2 Energy in the Simple Harmonic Oscillator:

1. What types of energy are found in a simple harmonic oscillator?

2. How is the total mechanical energy of an oscillator described?

3. How is amplitude related to displacement in an oscillating system?

4. Explain the changes in velocity of an oscillating object.

5. For what variables, can you solve in regards to an oscillating object?

11.3 The Period and Sinusoidal Nature of SHM:

1. On what factors, does an oscillator depend or not depend on as it moves?

2. How can a rotating object exhibit simple harmonic motion?

3. Which factors effect the period of an oscillating object?

4. How can one double the period?

5. How is position a function of time in an oscillating object?

6. How does an oscillating object demonstrate sinusoidal motion?

11.4 The Simple Pendulum:

1. Describe a simple pendulum by drawing and explaining the variables in figure 11-2.

2. Explain if a pendulum is/is not a good example of simple harmonic motion.

3. What factors affect the pendulums motion, and which do not affect the motion?

4. Why can a pendulum clock keep such good time?

5. Other than a clock how can you use a pendulum to acquire scientific information?