FIGURE P$10\mathrm{.}52$ Problems $52$ and $53.$A gear train is shown in Figure $10\mathrm{.}52$ on page $297$ in the text. The gears have the following

properties: $(20$ pts$)$

$N2=24$ teeth; $Pd=8$

$\text{'}d3=5^{\text{'}\text{'}}$

$\text{'}d4={3\mathrm{.}5}^{\text{'}\text{'}}$;$Pd=12$

$N5=84$ teeth

$N6=54$ teeth

$\text{'}d7={2\mathrm{.}75}^{\text{'}\text{'}}$

$N8=64$ teeth; $Pd=8$

Determine the following:

a$.$ Overall Train Value

b$.$ The rotational speed and direction of gear$-8$ as gear$-2$ rotates $1800rpm-cw$

c$.$ The center distance between gears $2$&$8$