The rigid system in Fig. 12.17 consi sts of a homogeneous bent bar (thick line), of negligible

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The rigid system in Fig.12.17 consists of a homogeneous bent bar (thick line), of negligible cross section, total mass \(m=5.00 \mathrm{~kg}\) and total length \(L=1.10 \mathrm{~m}\). The two horizontal sections are both \(d=30.0 \mathrm{~cm}\) long. The system is rotating without friction and steadily, making 115 revolutions/minute with respect to the vertical axis of rotation \(A B\).
1. Determine the moment of inertia of the system with respect to the axis of rotation \(A B\).
2. Calculate the kinetic energy of the system.
3. Calculate the total force acting on the system, applied at the center of gravity.

4. Calculate the axial component (i.e., parallel to the axis of rotation \(A B\) ) of the angular momentum of the system, taking the center of mass of the bar as pivot point \(\mathrm{O}\).
5. Calculate the transverse component of the angular momentum of the system, again with respect to the same pivot \(\mathrm{O}\).

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