5) Frictionless Compound Machine. A screw $G$ drives a lever $H$. Screw is a square thread, single start screw. For the motions considered here, the screw remains perpendicular to the lever $\left(\alpha_{1} \approx 90^{\circ}\right)$. The pitch of the screw is $p=$ $0.25 \mathrm{in}$ and the mean diameter of the screw is $d=2 \mathrm{in}$. The lever dimensions are given by $A P=24 \mathrm{in}$ and $B P=$ $12 \mathrm{in}$. For this device, do the following: a. using Anderson's method, derive the theoretical mechanical advantage of the (i) lever, (ii) screw, and (iii) the compound machine. b. determine the theoretical best (lowest) input torque $T_{i G}^{*}$ if the output load is $F_{O H}=100 \mathrm{lbf}$. c. determine the rotational speed of the screw in RPM when the output point $B$ goes $1 \mathrm{in} / \mathrm{s}$.

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