Kinematics · SHS3 Physics

Lesson notes

Learning Objectives

Indicator: 3.1.2.LI.2 - Determine the velocity, acceleration and kinetic energy of a body performing SHM.

By the end of the lesson, learners can:

State the equations for displacement, velocity and acceleration of a body performing simple harmonic motion.
Calculate the velocity of a body at a given displacement from equilibrium, using the equation v = ω√(A² - x²).
Calculate the maximum velocity and maximum acceleration of a body performing SHM using v_max = ωA and a_max = ω²A.
Determine the kinetic energy of a body performing SHM at a given displacement using KE = ½mω²(A² - x²).
Solve problems that combine these equations to analyse the motion of a body performing SHM.

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Curriculum details

Strand: Mechanics and Matter (Strand 1)
Sub-strand: Kinematics (1.2)
Content standard: 3.1.2.CS.1 - Demonstrate knowledge and understanding of simple harmonic motion. 3.1.2.LO.1 Use the concept of simple harmonic motion to determine acceleration due to gravity.
Indicator: 3.1.2.LI.2 - Determine the velocity, acceleration and kinetic energy of a body performing SHM.
Suggested placement: Semester 1, Week 9 (Week 9 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: NaCCA curriculum document, p. 157

Exemplars (from the NaCCA curriculum)

Enquiry learning: Learners watch a video of the motion of a piston and through research come out with equations for the displacement, velocity and acceleration of a body performing SHM.
Recognise diverse talents and perspectives.
Assessment (3.1.2.AS.2). The document marks these depth-of-knowledge levels for this indicator: Level 1 Recall; Level 3 Strategic reasoning; Level 4 Extended critical thinking and reasoning.
Teaching and Learning Resources:
- Audio-visuals
- Internet
- Projectors
- YouTube
- Interactive laboratory virtual
- Retort stand
- Spring with pointer
- Meter rule
- String
- Masses