Question

In a four bar planar mechanism shown in the figure, AB=5 cm, AD = 4 cm and DC= 2 cm. In the configuration shown, both AB and DC are perpendicular to AD. The bar AB rotates with an angular velocity of 10 rad/s. The magnitude of angular velocity (in rad/s) of bar DC at this instant is

• A. 10
• B. 25
• C. 15
• D. 0

Answer 1

The correct option is B 25


Velocity diagram :

$V_C=V_B=\left(AB\right)\times {\omega }_{AB}$
$=0.05\times 10=0.5$ m/s

${\omega }_{CD}=\frac{V_c}{CD}=\frac{0.5}{0.02}=25\text{rad/s}$