मराठी

If 'α' and 'β' are the maximum velocity and maximum acceleration respectively, of a particle performing linear simple harmonic motion, then the path length of the particle is _______. -

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प्रश्न

If 'α' and 'β' are the maximum velocity and maximum acceleration respectively, of a particle performing linear simple harmonic motion, then the path length of the particle is _______.

पर्याय

  • `(2alpha)^2/beta`

  • `(2beta)^2/alpha`

  • `(2alpha)/beta`

  • `alpha/beta`

MCQ
रिकाम्या जागा भरा

उत्तर

If 'α' and 'β' are the maximum velocity and maximum acceleration respectively, of a particle performing linear simple harmonic motion, then the path length of the particle is `underline((2alpha)^2/beta)`.

Explanation:

α = Aω

β = Aω2 

Path length = 2A

α2 = A2ω2

β = Aω

A = `alpha^2/beta`

`therefore "2A" = (2alpha^2)/beta`

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Acceleration (a), Velocity (v) and Displacement (x) of S.H.M.
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