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A rigid link PQ is undergoing plane motion as shown in the figure (VP and VQ are non-zero). VQP is the relative velocity of point Q with respect to point P Which one of the following is TRUE?

A rigid link PQ is undergoing plane motion as shown in the figure (VP and VQ are non-zero). VQP is the relative velocity of point Q with respect to point P Which one of the following is TRUE? Correct Answer V<sub>QP</sub> has only one component perpendicular to PQ

Explanation:

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Because PQ is a rigid link so the distance between P and Q can not changes. Therefore, the velocity of Q relative to P is VQP, which has an only component perpendicular to PQ.

∴ VPcosβ = VQcosθ

∴ VQP = VQsinθ – VPsinβ

Hence only one component is present and it is perpendicular to PQ.

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