Find angular acceleration of link BD:
The length of the crank of rapid return crank & slotted lever mechanism is 15 cm and it rotates at 10 rod/s in counter clockwise sense. For the configuration illustrated in Figure find angular acceleration of link BD.

(a) (b)

(c)
Solution
In figure (b)

Also

The motion of point A is common to OA & BD both. The velocity & acceleration of A are illustrated by

The components of VA along with BD are perpendicular to it are illustrated by

The transverse component of acceleration of A is illustrate by following
aθ =- a A sin 42o = - 15 sin 42o = - 10.037 m/s2
Also

or

or

Thus, angular acceleration of BD in clockwise sense is 11.26 rad/s2.