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Question
A particle performs linear SHM with amplitude A and frequency n. Its speed midway between an extreme position and equilibrium position is ______.
Options
`sqrt3nA`
`sqrt6nA`
`sqrt3πnA`
`sqrt6πnA`
MCQ
Fill in the Blanks
Solution
A particle performs linear SHM with amplitude A and frequency n. Its speed midway between an extreme position and equilibrium position is `bbunderline(sqrt3πnA)`.
Explanation:
`|v| = 2πn sqrt(A^2 - x^2)`
= `2πn sqrt(A^2 - (A//2)^2)`
= `2πn sqrt(3A^2//4)`
= `2πn sqrt(3A)/2`
= `sqrt3πnA`
shaalaa.com
Amplitude (A), Period (T) and Frequency (N) of S.H.M.
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