- #31
Alexan
- 17
- 1
?PeroK said:
Please can I get some help finding the function of motion
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SUMMARY
The discussion centers on finding the function of motion for simple harmonic motion, specifically using the equation $$x(t)=A\cos(\omega t+\phi)$$ where ##\omega=\frac{2\pi}{T}##. Participants clarify the importance of amplitude (##A##), phase angle (##\phi##), and period (##T##) in determining the function of motion. The phase difference is deemed unnecessary for solving the problem, with alternative methods suggested for calculating angular frequency directly from the graph. The use of the sine function, $$x(t)=A\sin(\omega t+\phi)$$, is recommended for simplicity.
PREREQUISITES- Understanding of simple harmonic motion concepts
- Familiarity with trigonometric functions, specifically sine and cosine
- Knowledge of angular frequency and its relation to period
- Ability to interpret graphical representations of oscillatory motion
- Study the derivation and application of the equation $$x(t)=A\sin(\omega t+\phi)$$
- Learn how to calculate angular frequency from graphical data
- Explore the relationship between phase angle and displacement in oscillatory systems
- Review resources on simple harmonic motion, such as Khan Academy's materials
Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to clarify concepts related to simple harmonic motion.
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