Home
Class 12
PHYSICS
A particle start form mean position and ...

A particle start form mean position and moves towards positive extreme as shown. Find the equation of the `SHM`. Amplitude of `SHM` is `A`.

Text Solution

Verified by Experts

General equation of `SHM` can be written as `x = A sin (omegat + phi)`
At `t = 0, x = 0`
`:. 0 = A sinphi`
`:. Phi = 0, pi, phi in [0,2pi)`
Also, at `t = 0, v = +ve`
`:. A omega cosphi = +ve`
or, `phi = 0`
Hence, if the particle is at mean position at `t = 0` and is moving towards `+ve ` extreme, then the equation of `SHM` is given by `x = A sinomegat`
Similarly
for `phi = pi`
`:.` equation of `SHM` is `x = A(omegat + pi)`
or, `x = -A sinomegat`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Solved Miscellaneous Problems|9 Videos
  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Board Level Exercise|24 Videos
  • SEMICONDUCTORS

    RESONANCE|Exercise Exercise 3|88 Videos
  • TEST PAPERS

    RESONANCE|Exercise FST-3|30 Videos

Similar Questions

Explore conceptually related problems

A particle starts from mean position and moves towards positive extreme as show below. Find the equation of the SHM , Amplitude of SHM is A .

A particle starts from A/2 and moves towards positive extreme as shown below. Find the equation of the SHM. Given amplitude of SHM is A.

A particle starts from point x = (-sqrt(3))/(2) A and move towards negative extreme as shown (a) Find the equation of the SHM. (b) Find the time taken by the particle to go directly from its initial position to negative extreme. (c) Find the time taken by the particle to reach at mean position.

A particle starts from point x = (-sqrt(3))/(2)A and move towards negative extreme as shown, (a) Find the equation of the SHM (b) Find the time taken by the particle to go directly from its initial position to negative extreme. (c) Find the time taken by the particle to reach at mean position.

Particle moves from extreme position to mean position, its

A particle starts from a point P at a distance of A//2 from the mean position O and travels towards left as shown in the figure. If the time period of SHM, executed about O is T and amplitude A then the equation of the motion of particle is

A particle performing a linear S.H.M. starts from the positive extremity. Then the epoch of the particle is

A particle starts from a point P at a distance of A//2 from the mean position O & travels towards left as shown in the figure. If the time period of SHM , executed about O is T and amplitude A then the equation of motion of particle is :

A particle executes SHM from extreme position and covers a distance equal to half to its amplitude in 1 s.

A particle performing SHM starts from mean position. The phase of that particle is pi//s when it has