The correct option is
D 43l Let, mass of portion AB be M , and mass of portion CD be 2M . Coordinates of centre of mass of AB=(0,0)
and coordinates of COM of CD=(0,-l) Thus, coordinates of COM of system =(0,0×m−2mℓ3m)=(0,−23l)
Now, due to Force F , this particular system will attend only translational motion only if point of application (P) is the centre of mass of this system. so, P is at (2−23)l=43 l distance from C .
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