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.

Match the following with respect to spatial mechanism.

Type of Joint
$$P.$$ Revolute
$$Q.$$ Cylindrical
$$R.$$ Spherical

Motion constrained
$$1.$$ Three
$$2.$$ Five
$$3.$$ Four
$$4.$$ Two
$$5.$$ Zero

The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the point $$O$$ at a uniform angular velocity $$\omega $$. Two other points $$A$$ and $$B$$ are located on the line $$OZ$$ at distances $${r_A}$$ and $${r_B}$$ from $$O$$ respectively.

The velocity of point $$B$$ with respect to point $$A$$ is a vector of magnitude