Question

In a slider-crank mechanism, the lengths of the crank and the connecting rod are 100 mm and 160 mm, respectively. The crank is rotating with an angular velocity of 10 radian/s counter clockwise. The magnitude of linear velocity (in m/s) of the piston at the instant corresponding to the configuration shown in the figure is

Answer 1

After plotting I-centres


Here, $I_{23}$ and $I_{24}$ will come at same point
Applying angular Velocity Theorem at $I_{24}$
$\therefore {\omega }_2\left(I_{24}{I}_{12}\right)=V_4=V_B$
$V_B={\omega }_2\left(I_{24}{I}_{12}\right)=10\times 0.1$
$\left(I_{24}{I}_{12}\right)=100mm=0.1m=AB$
\(V_{B}=1 m/s)