An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this instant, the angular velocity and angular acceleration of link $${Q_2}\,\,A$$ are $$\omega = 8\,\,rad/s$$ and $$\alpha = 0$$, respectively, and the driving torque $$(T)$$ is zero. The link $${Q_2}\,\,A$$ is balanced so that its center of mass falls at $${Q_2}.$$

At the instant considered, what is the magnitude of the angular velocity of $${O_4}B?$$

Match the following
Type of Mechanism
$$P.$$ Scott - Russel mechanism
$$Q.$$ Geneva mechanism
$$R.$$ Off-set slider- crank mechanism
$$S.$$ Scotch Yoke mechanism

Motion achieved
$$1.$$ Intermittent motion
$$2.$$ Quick return motion
$$3.$$ Simple harmonic motion
$$4.$$ Straight line motion

In the figure shown, the relative velocity of link $$1$$ with respect to link $$2$$ is $$12$$ m/sec. Link $$2$$ rotates at a constant speed of $$120$$ rpm. The magnitude of Coriolis component of acceleration of link $$1$$ is

The figure below shows a planar mechanism with single degree of freedom. The instant center $${{\rm I}_{24}}$$ for the given configuration is located at a position.