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Simple Harmonic motion ": Displacement time graph - Oscillations Video Lecture - Class 11

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FAQs on Simple Harmonic motion ": Displacement time graph - Oscillations Video Lecture - Class 11

1. What is simple harmonic motion?
Ans. Simple harmonic motion refers to the repetitive back-and-forth motion of an object around a stable equilibrium position. It occurs when the restoring force acting on the object is directly proportional to its displacement from the equilibrium position and acts in the opposite direction.
2. How can the displacement-time graph be used to analyze oscillations?
Ans. The displacement-time graph provides a visual representation of the motion of an object undergoing simple harmonic motion. It shows how the displacement of the object changes over time. By analyzing the shape of the graph, we can determine the amplitude, period, frequency, and phase of the oscillation.
3. What does the shape of the displacement-time graph reveal about the oscillation?
Ans. The shape of the displacement-time graph reveals important characteristics of the oscillation. The amplitude is determined by the maximum displacement from the equilibrium position, while the period is the time taken to complete one full oscillation. The frequency is the number of oscillations per unit time, and the phase indicates the position of the object in its oscillatory cycle at a given time.
4. How can the displacement-time graph be used to calculate the frequency of oscillation?
Ans. The frequency of oscillation can be calculated by determining the time taken for one complete oscillation, which corresponds to the period. The frequency (f) is then the reciprocal of the period (T), given by the formula f = 1/T. By measuring the time interval between consecutive peaks or troughs on the displacement-time graph, we can compute the frequency.
5. What is the significance of the equilibrium position in simple harmonic motion?
Ans. The equilibrium position in simple harmonic motion is crucial as it represents the position where the net force acting on the object is zero. When displaced from the equilibrium position, a restoring force is exerted on the object, pulling it back towards the equilibrium position. The motion of the object is characterized by its oscillation around this stable equilibrium point.
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