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WEEK 9

TOPIC: SIMPLE HARMONIC MOTION

CONTENT

  • CONCEPT of S.H.M
  • Example of bodies in S.H.M
  • Mathematical description of SHM
  • Terms used in describing SHM
  • Energy conversion in SHM
  • Damped oscillation
  • Forced vibration in SHM
  • Resonance

PERIOD ONE

CONCEPT OF SHM

Simple harmonic motion is an example of periodic motion. A periodic motion is one whose pattern of motion is repeated at regular interval of time.

A body is said to be in Simple Harmonic Motion if it moves along a fixed path such that it acceleration is directly proportional to its displacement from a fixed point and it is also directed toward that fixed point.

Simple harmonic motion can be defined as the motion of a body whose acceleration is always directed towards a fixed point and is proportional to the displacement of the bodies from that point.

Example of bodies in SHM

  1. A vibrating simple pendulum
  2. A mass at the ended of a vibrating helical spring
  3. Oscillation of mercury in a U-tube
  4. Motion of the balance wheel of a watch.
  5. Motion of prongs of a vibrating tuning fork
  6. Motion of a loaded test tube in water

Mathematical definition of SHM

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