Crossed-Belt Drive:
The crossed-belt drive is illustrated in given Figure. Draw O1 N parallel to the line CD that meets extended O2 D at N. By geometry
∠ C O1 J = ∠ D O2 K = ∠ O2 O1 N
L = Arc AGC + AB + Arc BKD + CD
Arc AGC = r (π+ 2β), and Arc BKD = (π + 2β) R
sin β= R + r/c
or β= sin -1 (R + r)/c
For small value of β
L = r (π+ 2β) + 2C cos β+ R (π + 2β)
= (π+ 2β) (R + r ) + 2C cos β
For approximate length
