Question

In an offset slider crank mechanism, the crank length is 50 cm, the connecting rod length is 100 cm and offset is 25 cm. The stroke of the slider is

• A. 147.9 cm
• B. 43.3 cm
• C. 104.6 cm
• D. 100 cm

Answer 1

The correct option is C 104.6 cm


$S_1$ and $S_2$ are the extreme positions of piston, as shown in figure.

$S_1-S_2=L=\text{length of stroke}$

$S_1=\sqrt{(100+50{)}^2-{25}^2}=147.9$

$S_2=\sqrt{(100-50{)}^2-{25}^2}=43.3$

$L=S_1-S_2=147.9-43.3=104.6cm$