Determine the velocity in a moving frame of reference, Mechanical Engineering

Determine the velocity in a Moving Frame of Reference:

As illustrated in Figure, a ship A moves with a velocity vA = 40 km/hour whereas ship B moves with a velocity of vB = 30 km/hour. Determine the velocity of B as it appears to an observer on A.

Solution

Moving axes x, y are fixed to the ship A and all of the vectors are expressed in terms of vectors i, j.

 Then v A  = 40 i                  and                 vB  = 30  j

 A point fixed to the x, y axes and coinciding along with the ship A would also move with velocity vA.

1710_Determine the velocity in a Moving Frame of Reference.png

And

1827_Determine the velocity in a Moving Frame of Reference1.png

and magnitude

2248_Determine the velocity in a Moving Frame of Reference2.png

                             = 50 km / hour.

Posted Date: 1/29/2013 1:48:04 AM | Location : United States







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