InterviewSolution
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InterviewSolution
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Force acting on a particle moving in the x-y plane is `vecF=(y^2hati+xhatj)N`, x and y are in metre. As shown in figure, the particle moves from the origin O to point A `(6m, 6m)`. The figure shows three paths, OLA, OMA, and OA for the motion of the particle from O to A. Which of the following is correct?A. (a) There is equal probability for the force being conservative or non-conservative.B. (b) Conservative or non-conservative nature of force cannot be predicted on the basis of given information.C. (c) The given force is non-conservative.D. (d) The given force is conservative. |
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Answer» Correct Answer - C For path `OMA`: Path `OM: vecF=y^2hati, dx=0` `W_(OM)=underset0overset6intvecF.dvecx=0` Path `MA: vecF=(36hati+xhatj)N` `W_(MA)=underset(x_1)overset(x_2)int F_xdx+underset(y_1)overset(y_2)intF_ydy, dy=0` `=36xx6+0=216J` `W_(OMA)=216J` For path OLA: Path `OL: vecF=hatj`, `dy=0` `W_(OL)=0` Path `LA: vecF=(y^2hati+6hatj)N` `W_(LA)=underset(x_1)overset(x_2)int F_xdx+underset(y_1)overset(y_2)int F_ydy` `=0+6xx(y_2-y_1)=6xx6=36J` `:. W_(OMA)!=W_(OLA)` Hence, force is not conservative. |
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