A disk in \( x y \) plane, initially at rest, of mass \( 1 \mathrm{~kg} \) and radius \( 10 \mat... VIDEO
A disk in \( x y \) plane, initially at rest, of mass \( 1 \mathrm{~kg} \) and radius \( 10 \mathrm{~cm} \), with center at origin, can only rotate about its axis, that is, about \( z \)-axis due to a fixed axle through its center. A force \( \vec{F}=(3 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}+\hat{\mathrm{k}}) \mathrm{N} \) starts acting on it at the point \( (3 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}) \mathrm{cm} \). The work done by the force in the first one second is
(A) \( 2.39 \mathrm{~J} \)
(B) \( 3.27 \mathrm{~J} \)
(C) \( 9.27 \mathrm{~J} \)
(D) \( 7.29 \mathrm{~J} \)
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