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Simple Harmonic Motion-SHM

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Published in: Physics
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Basics of Simple harmonic motion-SHM

Elizabeth C / Kochi

13 years of teaching experience

Qualification: M.Sc. & B.Ed.

Teaches: Physics, Chemistry

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  1. (INHS) SNOUV7710SO DINOWYVH 37dWIS
  2. PERIODIC MOTION ' A motion which repeats itself after regular intervals of time is called periodic motion. For example ' (i) Motion of all planets, comets etc, around the sun. ' (ii) The motion of moon around the earth. The moon takes 27.3 day to complete one round around the earth. ' (iii) The motion of the bob of a simple pendulum.
  3. ? ? ? ? ? ? ? ? ? ? ? ? 0 ? 0 ? ? 0 00 ? ? 0 ? 00 ? ? ? ? 0 ? ? 0 ? 0 ? ? ? 0 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 0 ? ? ? ?
  4. Oscillatory motion The motion of a body is said to be oscillatory motion if it moves back and forth about a fixed point after regular intervals of time. The fixed point about which the body oscillates is called mean position or equilibrium position. The oscillatory motion is also called vibratory motion.
  5. For example 1. The motion of a bob of the simple pendulum. 2. The motion of the mass attached to a spring. 3. A liquid contained in U-tube when disturbed executes oscillatory motion.
  6. Time period The time taken by a vibrating or oscillating body to complete one oscillation or vibration is called its time period. It is the least time after which the periodic motion of a body repeats. It is denoted by T. Frequency The number of oscillations completed by an oscillating body is one second is called the frequency of the body. It is denoted by Relation between Frequency and Time Period Let T be the time period of the oscillating body. Then, number of oscillations completed in T sec = 1 number of oscillations completed in 1 sec = According to definition, number of oscillations completed in 1 sec is called frequency Clearly, the unit of frequency is or . It is also expressed as cycles per second (cps) or hertz (Hz) SI unit of frequency=
  7. Relation between Frequency and Time Period ' Let T be the time period of the oscillating body. Then, number of oscillations completed in T sec = 1 ' number of oscillations completed in 1 sec = ' According to definition, number of oscillations completed in 1 sec is called frequency v Clearly, ' the unit of frequency is (second)-l or s-1 . It is also expressed as cycles per second (cps) or hertz (Hz) Sl unit of frequency= s 1 =cps=Hz
  8. Note, ' Every oscillatory motion is periodic motion, but every periodic motion is not oscillatory.
  9. Displacement The distance traveled by an oscillating particle at any instant from its equilibrium or mean position is known as the displacement of the particle at that instant. It is denoted by x or y. It may be pointed out that the displacement may not always be linear distance from the equilibrium position of the oscillating particle. In the motion executed by a loaded spring, the displacement is a linear distance.
  10. ' when the body of a simple pendulum oscillates, the displacement is angular in nature.
  11. Amplitude The maximum displacement of the oscillating particle is called amplitude. It is denoted by A
  12. ' If the displacement is directly proportional to the linear restoring force, the object undergoes simple harmonic motion (SHM).
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