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1. What is simple harmonic motion?
Ans. Simple harmonic motion refers to the repetitive back-and-forth motion of an object around an equilibrium position, where the object's acceleration is proportional to its displacement from the equilibrium position and directed towards it. This motion typically occurs when a restoring force, such as that provided by a spring or gravity, counteracts the displacement of the object.
2. What are the characteristics of simple harmonic motion?
Ans. The characteristics of simple harmonic motion include: - Period: The time taken for one complete cycle of motion. - Frequency: The number of complete cycles per unit time. - Amplitude: The maximum displacement from the equilibrium position. - Phase: The position of the object within its cycle of motion at a given time.
3. What is the restoring force in simple harmonic motion?
Ans. The restoring force in simple harmonic motion is a force that acts on an object to bring it back towards the equilibrium position when it is displaced. This force is proportional to the displacement and directed towards the equilibrium position. In the case of a spring, the restoring force is provided by Hooke's Law, which states that the force is proportional to the displacement and follows a negative sign.
4. How is the period of simple harmonic motion related to its frequency?
Ans. The period and frequency of simple harmonic motion are inversely related. The period is the time taken for one complete cycle, while the frequency is the number of complete cycles per unit time. Mathematically, the relationship is given by T = 1/f, where T is the period and f is the frequency. Thus, as the frequency increases, the period decreases, and vice versa.
5. What are some real-life examples of simple harmonic motion?
Ans. Simple harmonic motion can be observed in various real-life examples, including: - The motion of a pendulum. - The vibrations of a guitar string. - The oscillations of a mass-spring system. - The back-and-forth motion of a swing. - The motion of a car's suspension system.
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