Relative velocity Assignment Help

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Relative velocity:

When the 2 points P and Q move in same plane, the rate of change of position of P with respect to the Q that us as seen from Q) can be defined as the relative velocity of P with respect to Q and it is represented by 2327_Relative velocity2.png.

 

1733_Relative velocity.png

Determination of relative velocity:

If the 2 points P and Q are moving with the velocities u and v respectively along 2 straight lines intersecting at the angle a then

vPQ2269_Relative velocity3.png                             ....(1)

and 2411_Relative velocity4.png                            ....(2)

The relations (1) and (2) give magnitude and direction of vPQ.

1880_Relative velocity1.png

 

Notes:

 

  • If points P and Q be moving in same direction with the velocity u and v ( < u) then
    vPQ = u - v ( in direction of P).
  • If points P and Q be moving in opposite directions, then vPQ = u + v ( in the direction of P)
  • In case the 2 points P, Q are moving with the velocities u, v at angles a, b with x axis, and v be velocity of P and relative to Q inclined at an angle b to the x axis then

         33_Relative velocity5.png

 

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