Question

A rigid link PQ of length 3 m is moving in space as shown in the figure. The magnitude and direction of velocity at point Q and direction of velocity at point P are given. Find magnitude of velocity at point P at this instant.

36 Ratings

Step 1

Link** PQ** is in General Plane Motion, we can find velocity any point on link ** PQ ** by locating instantaneous center of rotation of link ** PQ**.

To locate instantaneous centre of rotation, follow these steps:

(1)Choose any two points on the rod ,

(2)Draw velocity vectors of these two points.

(3) Draw perpendiculars to the velocity vectors, wherever these two perpendiculars intersect that gives the instantaneous centre of rotation of the rod.

Step 2

Since velocity vectors at points** P** and** Q** are given in the question, draw perpendiculars to the velocity vectors at points** P** and **Q** to locate instantaneous center of rotation of the rod (point **O**) as shown in Figure 1.

Step 3

At this instant the rod PQ is rotating about point O.

Therefore, we have

VP = (OP) (ɷ)…………&helli...

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