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A particle of mass `2kg` moves under a force given by `vec(F)=-(8N//m)(xhat(i)+yhat(j))` where `hat(i)` and `hat(j)` are unit vectors in the `x` and `y` directions. The particle is projected from the origin in `xy` plane with an initial velocity `vec(v)=(3m//s)hat(i)+(4m//s)hat(j)`. Select correct statement(s).A. Time after which the particle will return to origin first timeis `pi//2` secB. Time after which the particle will return to origin first time is `pi` secC. The maximum disance between the particle and origin is `2m`D. The maximum distance between the particle and origin is `2.5m` |
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Answer» Correct Answer - A::D The `x` and `y` both coordinates oscillates simple harmonically is same plane. `omega =sqrt(k/m)=1rad//s` `T=pis` `A_(x)=(u_(x))/(omega)=1.5m` `A_(y)=(u_(y))/(omega)=2m` Net amplitude `=sqrt(A_(x)^(2)+A_(y)^(2))=2.5m` |
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