Question

A rigid link PQ is undergoing plane motion as shown in the figure ($V_{P}and{V}_Q$ are non-zero). $V_{QP}$ is the relative velocity of point Q with respect to point P.
Which one of the following is TRUE?

• A. $V_{QP}$ has components along and perpendicular to PQ
• B. $V_{QP}$ has only one component directed from P to Q
• C. $V_{QP}$ has only one component directed from Q to P
• D. $V_{QP}$ has only one component perpendicular to PQ

Answer 1

The correct option is D $V_{QP}$ has only one component perpendicular to PQ


To find relative velocity, direction of $V_P$ is reversed and placed at failure of ${\overrightarrow{V}}_Q$

Resultant $V_{QP}$ is perpendicular to link PQ.