Displacement Analysis of RRPR Mechanism

Vector equation

Separate into real and imaginary equations

 

real

 

imaginary

 

 

 

Observe that,

Substitute q's

Rearranging,

Solve for r4 and q4

Eliminate r4

Rearranging

where,

Use Half-Tangent Rule to get two values of q4. Each of these two values will yield a value of r4 as follows,