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Laws of Conservation

Problem 1.128

A small body of mass m=0.10 kgm=0.10 \mathrm{~kg} moves in the reterence frame rotating about a stationary axis with a constant angular velocity ω=5.0rad/s\omega=5.0 \mathrm{rad} / \mathrm{s}. What work does the centrifugal force of inertia perform during the transfer of this body along an arbitrary path from point 1 to point 2 which are located at the distances r1=30 cmr_{1}=30 \mathrm{~cm} and r2=50 cmr_{2}=50 \mathrm{~cm} from the rotation axis?

Reveal Answer
1.128.A=1/2mω2(r22−r12)==0.20 J\begin{aligned} & 1.128 . A=1 / 2 m \omega^{2}\left(r_{2}^{2}-r_{1}^{2}\right)=\\ =& 0.20 \mathrm{~J} \end{aligned}
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