94. The moment of inertia of the empty turntable is $\mathbf{1}\mathbf{.}\mathbf{5}{\mathbf{kgm}}^{\mathbf{2}}$. With a constant torque of $\mathbf{2}\mathbf{.}\mathbf{5}\mathbf{N}\mathbf{\cdot }\mathbf{m}$, the turntable–person system takes $\mathbf{3}\mathbf{.}\mathbf{0}\mathit{s}$to spin from rest to an angular speed of $\mathbf{1}\mathbf{.}\mathbf{0}\mathbf{rad}\mathbf{/}\mathbf{s}$. What is the person’s moment of inertia about an axis through her center of mass? Ignore friction in the turntable axlerole="math" localid="1667995844298" $\mathbf{\left(}\mathbf{a}\mathbf{\right)}\mathbf{}\mathbf{2}\mathbf{.}\mathbf{5}\mathbf{}{\mathbf{kgm}}^{\mathbf{2}}\mathbf{}\mathbf{;}\mathbf{}\mathbf{\left(}\mathbf{b}\mathbf{\right)}\mathbf{}\mathbf{6}\mathbf{.}\mathbf{0}\mathbf{}{\mathbf{kgm}}^{\mathbf{2}}\mathbf{}\mathbf{;}\mathbf{}\mathbf{\left(}\mathbf{c}\mathbf{\right)}\mathbf{}\mathbf{7}\mathbf{.}\mathbf{5}\mathbf{}{\mathbf{kgm}}^{\mathbf{2}}\mathbf{}\mathbf{;}\mathbf{}\mathbf{\left(}\mathbf{d}\mathbf{\right)}\mathbf{}\mathbf{9}\mathbf{.}\mathbf{0}\mathbf{}{\mathbf{kgm}}^{\mathbf{2}}$.

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