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1. What is simple harmonic motion?
Ans. Simple harmonic motion (SHM) is a type of periodic motion where the restoring force acting on an object is directly proportional to its displacement from the equilibrium position and is always directed towards the equilibrium position.
2. How can we mathematically describe simple harmonic motion?
Ans. Simple harmonic motion can be mathematically described using the equation x(t) = A * cos(ωt + φ), where x(t) is the displacement from the equilibrium position at time t, A is the amplitude, ω is the angular frequency, and φ is the phase constant.
3. What is the period and frequency of a simple harmonic motion?
Ans. The period of a simple harmonic motion is the time taken to complete one full cycle of motion, while the frequency is the number of cycles completed per unit time. They are inversely related, with the period (T) being the reciprocal of the frequency (f): T = 1/f.
4. How is simple harmonic motion different from other types of periodic motion?
Ans. Simple harmonic motion is characterized by a linear restoring force and a sinusoidal motion, while other types of periodic motion may have different forms of restoring forces and motion patterns. Examples of other periodic motions include circular motion, pendulum motion, and oscillations with different force laws.
5. What are some real-life examples of simple harmonic motion?
Ans. Some real-life examples of simple harmonic motion include the oscillation of a pendulum, the motion of a mass-spring system, the vibrations of a guitar string, and the swinging of a playground swing. These systems exhibit simple harmonic motion due to their restoring forces and oscillatory behavior.
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