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If the angular momentum of a planet is given by .vec(L) = 5t^(2)hat(i) - 6that(j) + 3hat(k). What is the torque experienced by the planet? Will the torque be in the same direction as that of the angular momentum? |
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Answer» Solution :The torqueexperiencedby the PLANET `vec (tau)= (dvec(L))/(DT) "" [ d/(dt ) (t^(n)) = n^(n-1)] ` `= d/(dt)(5t^(2)hat(i) - 6hat(tj) +3hat(k))` ` = 5. d/(dt) (t^(2)) hat(i) - 6 d/(dt)(t) hat(j)+ 3 d/(dt) (hat(k)) = 10 hat(i) - 6hat(j) + 0 ` `vec(tau) = 10 t hat(i) - 6hat(j)` |
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