A particle is executing `SHM`. Find the positions of the particle where its speed is `8 cm//s`, if maximum magnitudes of its velocity and accleration are `10 cm//s` and `50 cm//s` respectively.

A particle is executing `SHM`. Find the positions of the particle wher

1.	A particle is executing `SHM`. Find the positions of the particle where its speed is `8 cm//s`, if maximum magnitudes of its velocity and accleration are `10 cm//s` and `50 cm//s` respectively.
Answer» Correct Answer - `+- (6)/(5) cm = +- 1.2 cm` from the mean position `\|v\| = \|A\|omega rArr 10 = \|A\|omega` `\|a\| = \|A\|omega^(2) rArr 50 = \|A\|omega^(2)` `rArr omega = 5 rArr \|A\|= 2` `v^(2) = omega^(2)(A^(2) - x^(2))` `8^(2) = 5^(2)(2^(2) - x^(2))` `4 - x^(2) = (64)/(25) rArr x^(2) = (36)/(25) rArr x = +- (6)/(5) cm`

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A particle is executing `SHM`. Find the positions of the particle where its speed is `8 cm//s`, if maximum magnitudes of its velocity and accleration are `10 cm//s` and `50 cm//s` respectively.

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