Answer:
The four bars taken for the 4-bar mechanism are:
L₁=380mm
L₂=110mm
L₃=300mm
L₄=200mm
The bar picked as the ground so that the mechanism shows the crack-rocker motion is L₁, which is directly connected with L₂ and L₄.
Explanation:
In a four-bar Mechanism, the Grashof's law gives a relation between the four bars for which, if it is not satisfied, the mechanism can't move freely in a full revolution.
If we split the mechanism in 2 chains of 2 pieces, in this case: L₁ and L₂ for one side and L₃ and L₄ for another side, the relation should satisfy:
L₁+L₂<L₃+L₄
Where L₁ is the bar that is steady in the ground.
In this particular case:
380mm+110mm<300mm+200mm
490mm<500mm
This selection satisfies Grashof's law.
The crack-rocker motion is done when one of the bars connected with the ground can make a 360º rotating motion, while the other bar connected with the ground made an incomplete rotating motion (can't make a complete circle and act as a pivoting bar). To make this kind of movement you only have to ensure that the bar picked as rotating piece (L₂) is smaller than the piece picked as pivoting bar (L₄).
The image of the mechanism is attached to this answer.