For the problems $1$ and $2$ below, use the tables at the bottom of the page and complete.

The figure below shows a function$-$generator linkage in which the motion of

Rocker $2$ corresponds to $x$ and the motion of Rocker $4$ to the function $y=tanx.$

Use four precision points and Chebychev spacing over the range $0x\frac{}{4}$ and

synthesize a linkage to generate the function. For the input lever, choose a $270$

starting position and a $60$ total swing angle. For the output lever, choose the

starting position at $125$ and a range of $60$ total travel also. Show all work, using

$r_1=1$ unit.

The figure below shows a function$-$generator linkage in which the motion of

Rocker $2$ corresponds to $x$ and the motion of Rocker $4$ to the function $y=x^{2\mathrm{.}5}.$ Use

two precision points and Chebychev spacing over the range $0x1$ and synthesize

a linkage to generate the function. For the input lever, choose a $-88$ starting

position and a $45$ total swing angle. For the output lever, choose the starting

position at $44$ and a range of $45$ total travel also. Show all work, using $r_1=1$

unit.

Function Generation Mechanism. Fill out table and find $r1=1,r2=,r3=,r4=$