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The position of a particle moving along ...

The position of a particle moving along `x-`axis varies with time `t` according as `x=sqrt3sinomegat-cosomegat` where `omega` is a constant. Find the region in which the particle is confined.

Text Solution

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`:' x=sqrt(3) sin omegat-cos omegat`
`:. x_("max")=sqrt((sqrt(3))^(2)+(-1)^(2))=2` and `x_("min")=sqrt((sqrt(3))^(2)+(-1)^(2))=-2`
Thus, the particle is confined in the region `-2 le x le 2`
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