A thin rod of mass $2\ \text{kg}$ is held upright in fixed, smooth vertical guides, so it can only move up and down. Its lower end rests on the sloping face of a wedge of mass $4\ \text{kg}$, which stands on a smooth floor. The slope makes $37^\circ$ with the floor. A horizontal force of $56\ \text{N}$ pushes the wedge so that the rod is lifted, as shown in the figure. All surfaces are smooth. Take $g = 10\ \text{m/s}^2$, $\cos 37^\circ = 0.8$ and $\tan 37^\circ = 0.75$. Which of the following statements are correct?

Fig. 1: A wedge of 4 kg on a smooth floor has its vertical face on the left and its sloping face going down to the right at 37 degrees to the floor. A thin vertical rod of 2 kg, held in fixed vertical guides, rests its lower tip on the slope, and a horizontal force of 56 N pushes the left face of the wedge to the right; all surfaces are smooth.