Question

A rigid link PQ is undergoing plane motion as shown in the figure $V_P\text{and}{V}_Q$ 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 tail of ${\overrightarrow{V}}_Q$

Resultant V_{QP} is perpendicular to link PQ or we can simply say as PQ is a rigid component of $V_{P}and{V}_Q$ along PQ will be the same. So $V_{QP}$ can only be perpendicular to PQ.