Locate all the instantaneous centres of the slider crank mechanism as shown in Fig. $6\mathrm{.}12.$ The lengths of crank $OB$ and connecting rod $AB$ are $100mm$ and $400mm$ respectively. If the crank rotates clockwise with an angular velocity of $10ra\frac{d}{s},$ find: $1.$ Velocity of the slider $A,$ and $2.$ Angular velocity of the connecting rod $AB.$

Given: ${}_{OB}=10$radS;$UD=100m-0\mathrm{.}1m$

We know that linear velocity of the crank $OB,$

$v_{OB}=v_B={}_{OB}OB=100\mathrm{.}1=1\frac{m}{s}$

Location of instantaneous centres

$N=\frac{n(n-1)}{2}$

Velocity of the slider $A$

Angular velocity of the comnecting rod $A$