The 32.2-lb carriage (A) moves horizontally in its guide with a speed of (4 mathrm{ft} / mathrm{sec})

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The 32.2-lb carriage \(A\) moves horizontally in its guide with a speed of \(4 \mathrm{ft} / \mathrm{sec}\) and carries two assemblies of balls and light rods which rotate about a shaft at \(O\) in the carriage. Each of the four balls weighs \(3.22 \mathrm{lb}\). The assembly on the front face rotates counterclockwise at a speed of \(80 \mathrm{rev} / \mathrm{min}\), and the assembly on the back side rotates clockwise at a speed of \(100 \mathrm{rev} / \mathrm{min}\). For the entire system, calculate \((a)\) the kinetic energy \(T,(b)\) the magnitude \(G\) of the linear momentum, and

(c) the magnitude \(H_{O}\) of the angular momentum about point \(O\).

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