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In simple harmonic motion, a particle m...

In simple harmonic motion, a particle moves to and fro repeatedly about a mean position, under a restoring force whose magnitude at any instant is directly propotional to the displacement from the mean position, and th eforce is directed always towards the mean position.
Infact, SHM of a particle takes place under the condition of stable equilibrium. SHM is the most common form of motion in nature.
Read the above passage and answer the following questions:
(i) Give atleast examples of SHM in nature.
(ii) How is the concept of SHM related in day to day life ?

Text Solution

Verified by Experts

(i) In nature, SHM of air molecules is responsible for propagation of sound in air. Further , SHM of strings produce pleasant sounds in musical instruments like sitar, guitar, viotlin, etc.
(ii) SHM of a particle takes place under the condition of stable equilibrium. In day to day life, each one of us likes stability. We have to move out for carrying out our duties and assignments. But our tendency is always to return to our cnetral place of stable equilibrium. This is how the concept of SHM is related broadly to our daily life.
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In simple harmonic motion , the acceleration of the body is inversely proportional to its displacement from the mean position .

In S.H.M., the restoring force acting in the particle is proportional to the…………. from the mean position.

Knowledge Check

  • The velocity of particle in SHM at displacement y from mean position is

    A
    `omegasqrt((a^(2)+y^(2)))`
    B
    `omegasqrt((a^(2)-y^(2)))`
    C
    `wy`
    D
    `omega^(2)sqrt((a^(2)+y^(2)))`
  • In SHM , acceleration versus displacement (from mean position) graph:

    A
    is always a straight line passing through origin and slope-`1`
    B
    is always a stright line passing through origin and slope`+1`
    C
    is always a stright line not necessarily passing through oringin
    D
    none of the above
  • The velocity of a particle in simple harmonic motion at displacement y from mean position is

    A
    `omegasqrt(a^(2)+y^(2)`
    B
    `omegasqrt(a^(2)-y^(2)`
    C
    `omegay`
    D
    `omega^(2)sqrt(a^(2)-y^(2)`
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