10 problemas de MOVIMIENTO ARMÓNICO SIMPLE desde cero

10 problemas de MOVIMIENTO ARMÓNICO SIMPLE desde cero

10 simple harmonic motion problems from scratch

by Matemáticas con Juan · View the channel on PSI

Formal & Physical Sciences Physics PHDClassical mechanicsPHDBElementary mechanics
🎙 Matemáticas con Juan 👥 2.1M 📅 September 9, 2026 ⏱ 47 min 👁 56 📄 tutorial 🧭 2026-09-09
Available in: English (current) Français

Keywords

movimiento armónico simpleMASamplitudfrecuencia angularconstante de fase

Summary

In this 47-minute tutorial, the instructor solves 10 progressively structured simple harmonic motion (SHM) problems covering amplitude, position, displacement, velocity, acceleration, period, frequency, angular frequency, phase constant, equation of motion. Starting from the fundamental expression x(t)=A cos(ωt+φ), he relates each concept and shows how to derive velocity and acceleration via differentiation. The problems increase in complexity: first isolating each variable, then combining several aspects in multi-part questions. The tutorial is designed for high school and introductory university physics students, with clear mathematical steps and emphasis on understanding the physical meaning of each parameter. The instructor also demonstrates how to choose the correct phase constant based on initial conditions of position and velocity direction. The final problems integrate all concepts to find maximum values of velocity and acceleration.

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Critical Evaluation

Value of the Information & Strength of the Argument

The video provides solid pedagogical value for students new to SHM. Each problem is solved methodically, linking mathematical derivations to physical interpretation. The argumentation is clear and coherent, with explicit justification for every step (e.g., why a negative sign appears when deriving cosine, how to apply chain rule). The choice of phase constant is explained through the sign of the initial velocity, which strengthens understanding. The gradual increase in complexity across the 10 problems helps learners build confidence. The exercises cover all core aspects of SHM, making it a efficient review of the topic.

Scientific Rigor, Source Quality, Title Accuracy

No external sources are referenced, but the mathematical equations and physical principles are correct and align with standard undergraduate physics. The title matches content exactly. The creator’s background is not discussed. The description mentions a PDF of problems that was ‘coming soon’, but no actual source link is provided other than the membership link. The video is self-contained, relying on standard definitions and derivations. Therefore, scientific rigor is adequate for a tutorial at this level.

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Title / Content Match

The title accurately reflects the content: 10 fundamental SHM problems solved progressively from scratch.

Quality & Reliability

8/10

The video presents classical mechanics equations and derivations correctly, with clear step-by-step solutions. No inaccuracies detected in the mathematical treatments. The explanations are pedagogical and error-free.

Chapters

Cited Sources

Contribution & Novelties

The video’s contribution lies in its didactic progression, starting from isolated definitions and moving to combined problems, which is effective for initial learning. It explicitly addresses common pitfalls, such as the ambiguity of the phase constant and the need to consider initial velocity direction.

Pour aller plus loin :

89 words

Radar Profile

The radar profile shows strong scores in quality and reliability, while quantity of information and technical level are moderate, typical for a focused tutorial on a narrow topic.

Reliability 8/10