The rectangular cover, which makes an angle of 60 ∘ with the horizontal, has a perpendicular width of 2 m to the plane of the page, and the 2500 kg mass connected to it passes over a roller and stands as in the figure. At what depth d of the water there can be a state of equilibrium as in the figure, show by calculating. ( ρ=1000 kg/m3)

Notes: Neglect the mass of the lid. The moment of inertia of the lid about the axis passing through the center of mass can be calculated as I=bl^3/12 (b: width (2 m), I, height). Suspended mass water for no d water height value

 

2500 5 m d WATER