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 V_A along with BD are perpendicular to it are illustrated by

The transverse component of acceleration of A is illustrate by following

a_θ =- a _A  sin 42^o  = - 15 sin 42^o  = - 10.037 m/s²

Also

or

or

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