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Amplitude of a harmonic oscillator is A ...

Amplitude of a harmonic oscillator is `A` , when velocity of particle is half of maximum velocity, then determine posiition of particle.

Text Solution

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`v = omegasqrt(A^(2)-x^(2))` but `v = (v_("max"))/(2)=(Aomega)/(2)=omegasqrt(A^(2)-x^(2))`
`rArr A^(2) = 4[A^(2)-x^(2)] rArr x^(2) = (4A^(2)-A^(2))/(4) rArr x = +-(sqrt(3A))/(2)`
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