Lesson Plan Teknis | Simple Harmonic Motion: Relationship between SHM and UCM

Objective

Duration: (10 - 15 minutes)

This part of the lesson plan aims to ensure that students comprehend and apply the relationship between Simple Harmonic Motion and Uniform Circular Motion, setting them up for hands-on calculations of speeds and deformations. This understanding is vital for both theoretical knowledge and practical applications in fields like engineering, where analyses of periodic motions are often necessary for job readiness.

Objective Utama:

1. Grasp the connection between Simple Harmonic Motion (SHM) and Uniform Circular Motion (UCM).

2. Utilize mathematical concepts to determine speeds and deformations in SHM via UCM.

Objective Sampingan:

1. Enhance analytical and problem-solving abilities through hands-on activities.
2. Motivate students to apply theoretical knowledge in real-life scenarios, fostering links to the job market.

Introduction

Duration: (10 - 15 minutes)

The goal of this stage is to introduce students to the topic engagingly and relate theoretical concepts to practical situations, as well as job market relevance. This approach aims to spark students' curiosity and prepare them for the ensuing practical activities and challenges.

Curiosities and Market Connection

 Curiosity: The pendulum in traditional clocks exemplifies SHM, where the oscillation duration is vital for accuracy.  Market Connection: In civil engineering, an understanding of SHM is utilized in crafting structures that can endure vibrations and oscillations, such as bridges and high-rises, ensuring their durability and safety. In the automotive sector, SHM principles are key in designing suspension systems that cushion impacts and ensure a smooth ride.

Contextualization

Simple Harmonic Motion (SHM) and Uniform Circular Motion (UCM) are core principles in Physics that illuminate various phenomena, from the functioning of clocks to the orbital movements of celestial bodies. These concepts extend beyond mere theory, having crucial real-world applications in fields such as engineering, the construction of bridges and buildings, and even entertainment, like amusement park rides that necessitate predictable and safe periodic movements.

Initial Activity

 Initial Activity: Present a brief video (2-3 minutes) that showcases SHM application in various settings, like clocks, theme park rides, and civil engineering. After watching, engage students with the question: 'In what ways do you think the movement of a clock pendulum resembles the motion of a car wheel?'

Development

Duration: (50 - 55 minutes)

This segment aims to deepen students' comprehension of the connections between Simple Harmonic Motion and Uniform Circular Motion via practical tasks, reflections, and fixation exercises. This ensures that students not only grasp theoretical concepts but are also capable of applying them in real-world scenarios and the job market.

Topics

1. Understanding Simple Harmonic Motion (SHM)

2. Understanding Uniform Circular Motion (UCM)

3. Linkage between SHM and UCM

4. Calculating speeds in SHM using UCM

5. Calculating deformations in SHM using UCM

Thoughts on the Subject

Encourage students to contemplate how mastering periodic motions, like SHM and UCM, can impact the design and safety of structures and vehicles in the real world. Discuss how precision in calculating these oscillations can affect the longevity and effectiveness of products and constructions, pushing them to consider practical applications of this knowledge.

Mini Challenge

Constructing a Pendulum and Examining its Motion

Students will make a simple pendulum using everyday materials and analyze its movement to explore the relationship between SHM and UCM.

1. Form groups of 4 to 5 students.

2. Hand out the required materials: string, small weights (like a key or a nut), ruler, stopwatch, and graph paper.

3. Instruct groups to assemble a simple pendulum by securing the weight at one end of the string and attaching the other end to a stable support.

4. Have students measure the string's length and note this value.

5. Guide students to pull the pendulum's weight to a slight elevation and release it, allowing it to swing. Use the stopwatch to time 10 full swings and record this duration.

6. Calculate the time for one swing by dividing the total duration by 10.

7. Ask students to connect the pendulum's motion to circular motion by sketching the corresponding circular path and identifying the speeds and angles involved.

8. Discuss with the groups how knowledge of SHM and UCM can contribute to creating a precise pendulum clock or an effective suspension system.

Illustrate the connection between Simple Harmonic Motion and Uniform Circular Motion through the construction and analysis of a basic pendulum, fostering the practical applicability of theoretical concepts.

**Duration: (30 - 35 minutes)

Evaluation Exercises

1. Outline the mathematical connection between SHM and UCM. How can we use UCM for speed calculations in SHM?

2. A pendulum measures 1 meter in length. If its time for 10 complete swings is 20 seconds, what's the duration of a single swing? Utilize this duration to calculate the angular velocity if the pendulum were analyzed as circular motion.

3. Discuss how knowledge of SHM can be leveraged in designing a bridge that needs to withstand strong winds and vibrations.

Conclusion

Duration: (15 - 20 minutes)

This part of the lesson plan serves to reinforce the knowledge students have gained, consolidating the link between theoretical concepts and practical applications. By summarizing the content and discussing real-world applications, students will recognize the relevance of what they've studied and its importance for prospective careers.

Discussion

 Discussion: Guide a discussion among students regarding how a grasp of Simple Harmonic Motion (SHM) and Uniform Circular Motion (UCM) is applicable in real-world scenarios and the job market. Inquire how assembling the pendulum and analyzing its movement contributed to their understanding of these relationships. Encourage students to express their thoughts on the fixation exercises and how these concepts may be applied in engineering, vehicle design, and beyond.

Summary

 Summary: Recap the key points discussed during the lesson: definitions of SHM and UCM, their interrelation, and how to leverage UCM for speed and deformation calculations in SHM. Emphasize the hands-on activities completed, such as pendulum building, and highlight the calculations undertaken to grasp oscillations and their applications.

Closing

 Closing: Wrap up the lesson by elucidating how the theories of SHM and UCM connect to real-world practices and applications. Stress the significance of these concepts for the safe, smart design of structures and vehicles, along with their many applications in the job market. Reinforce that understanding periodic motions is crucial across various engineering and technology fields, enhancing safety and efficiency in practical projects.