In the system, the rope is pulled with an force F. The mass of the block is \(M\) and that of the wedge \(M'\). The wedge is movable. All surfaces are smooth. The pulley and the rope are massless and frictionless. Find the acceleration of the wedge.

**Details And Assumptions**:

- \( M= 300 \text{ kg} \), \(M' = 350 \text{ kg} \), \(g = 10 \text{m/s}^{2}\), \( F = 1000 \text{ N} \), \( \theta = 60^{\circ}, \sqrt{3} = 1.732\).

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