Goals: In Unit 7, students will apply previously-encountered models and methods of analysis to simple harmonic motion. They will also be reminded that, even in new situations, the fundamental laws of physics remain the same. Because this unit is the first in which students possess all the tools of force, energy, and momentum conservation—such as energy bar charts, free-body diagrams, and momentum diagrams—scaffolding lessons will enhance student understanding of fundamental physics principles and their limitations, as they relate to oscillating systems. Students will also use the skills and knowledge they have gained to make and justify claims, as well as connect new concepts with those learned in previous topics.
To access the main folder and get class notes and additional practice problems per each topic below click the following link:
AP Physics 1-Unit 7-Oscillations
(time to complete all WebAssign Problems approximately 3hr 50min)
**You will take 1 test during this unit.**
Learning Objective:
-Describe simple harmonic motion.
Essential Knowledge:
-Simple harmonic motion is a special case of periodic motion.
-SHM results when the magnitude of the restoring force exerted on an object is proportional to that object’s displacement from its equilibrium position.
-A restoring force is a force that is exerted in a direction opposite to the object’s displacement from an equilibrium position.
-An equilibrium position is a location at which the net force exerted on an object or system is zero.
-The motion of a pendulum with a small angular displacement can be modeled as simple harmonic motion because the restoring torque is proportional to the angular displacement.
Skills:
-Create qualitative sketches of graphs that represent features of a model or the behavior of a physical system.
-Calculate or estimate an unknown quantity with units from known quantities, by selecting and following a logical computational pathway.
-Apply an appropriate law, definition, theoretical relationship, or model to make a claim.
-Justify or support a claim using evidence from experimental data, physical representations, or physical principles or laws.
Read & Take Notes on Sections: 13-1, 13-2, 13.3, 13.5
WebAssign: Ch13 - 6, 11, 13, 34, 35, 39
Learning Objective:
-Describe the frequency and period of an object exhibiting SHM.
Essential Knowledge:
-The period of SHM is inversely related to the frequency, f, of the object’s motion.
-The period of an object - ideal spring oscillator can be calculated.
-The period of a simple pendulum displaced by a small angle can be calculated.
Skills:
-Create quantitative graphs with appropriate scales and units, including plotting data.
-Derive a symbolic expression from known quantities by selecting and following a logical mathematical pathway.
-Predict new values or factors of change of physical quantities using functional dependence between variables.
-Create experimental procedures that are appropriate for a given scientific question.
-Justify or support a claim using evidence from experimental data, physical representations, or physical principles or laws.
Read & Take Notes on Sections: 13.1, 13.3, 13.5
WebAssign: Ch13 - 6, 34, 35, 39, 42
Learning Objective:
-Describe the displacement, velocity, and acceleration of an object exhibiting SHM.
Essential Knowledge:
-For an object exhibiting SHM, the displacement of that object measured from its equilibrium position can be represented by a trigonometric equation.
-Minima, maxima, and zeros of displacement, velocity, and acceleration are features of harmonic motion.
-Recognizing the positions or times at which the displacement, velocity, and acceleration for SHM have extrema or zeros can help in qualitatively describing the behavior of the motion.
-Changing the amplitude of a system exhibiting SHM will not change the period of that system.
-Properties of SHM can be determined and analyzed using graphical representations.
Skills:
-Create qualitative sketches of graphs that represent features of a model or the behavior of a physical system.
-Derive a symbolic expression from known quantities by selecting and following a logical mathematical pathway.
-Predict new values or factors of change of physical quantities using functional dependence between variables.
-Justify or support a claim using evidence from experimental data, physical representations, or physical principles or laws.
Read & Take Notes on Sections: 13.4
WebAssign: Ch13 - 17, 18, 25, 30, 76
Learning Objective:
-Describe the mechanical energy of a system exhibiting SHM.
Essential Knowledge:
-The total energy of a system exhibiting SHM is the sum of the system’s kinetic and potential energies.
-Conservation of energy indicates that the total energy of a system exhibiting SHM is constant.
-The kinetic energy of a system exhibiting SHM is at a maximum when the system’s potential energy is at a minimum.
-The potential energy of a system exhibiting SHM is at a maximum when the system’s kinetic energy is at a minimum.
-The minimum kinetic energy of a system exhibiting SHM is zero.
-Changing the amplitude of a system exhibiting SHM will change the maximum potential energy of the system and, therefore, the total energy of the system.
Skills:
-Create diagrams, tables, charts, or schematics to represent physical situations.
-Calculate or estimate an unknown quantity with units from known quantities, by selecting and following a logical computational pathway.
-Compare physical quantities between two or more scenarios or at different times and locations in a single scenario.
-Apply an appropriate law, definition, theoretical relationship, or model to make a claim.
Read & Take Notes on Sections: 13.2
WebAssign: Ch13 - 11, 13, 14 & Ch13 AP Multiple-Choice Review Questions
Test #9