One end of a rod of length L and density p is fixed by a frictionless pivot at a depth d under water. Determine the equilibrium positions of the rod in terms of its an- gle a measured from the vertical, and the investi- gate whether the equilib- rium positions are stable or unstable, given that

Problem 2.93 - Enhanced - with Hints and Feedback The bent plate is 1.8 m wide and is pinned at A and rests on a smooth support at B. The fluid is water. p = 1000 kg/m³. (Figure 1) Figure 1 m 4 m X A -2 m -3 m B < 1 of 1 Part A Determine the y reaction at the smooth support B for equilibrium. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) By = 155 Submit Part B 0 A₂ = Submit Part C HA X Incorrect; Try Again; 5 attempts remaining _O Previous Answers Determine the component of reaction at A. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) 3 μA KN Value Ċ ? Units P ?

A 0.2 m wide (out of plane) gate in a sea wall is hinged at A and bolted at B. Given the density of sea water is 1,019 kg/m³ and the depth of water hA= 2.6 m, determine the magnitude of the reactions at A and B that act normal to the gate. RA- Ba Number Number Units Units A * 1.0 mi * B 0.6 m (magnitude only; tolerance 5 N) (magnitude only; tolerance 5 N)

The concrete graviy" dam is heid in place by its awn weight (Egute.1) The density of concrote is   pc​=2.5Mg/m2   and water has a density of  ρw​=1.0Mg/m3. Suppose that  a=1⋅m ,h=8 m Figure Part A Determinn the setillest dimension d that will prevent the dam hom overturning about is end  A.  Express your answer to three significant figures and include the appropriate units: d=_______

One end of a rod of length L and density ρ is fixed by a frictionless pivot at a depth d under water. Determine the equilibrium positions of the rod in terms of its angle α measured from the vertical, and the investigate whether the equilibrium positions are stable or unstable, given that (a) ρ = 500 kg/m3 ; (b) ρ = 853 kg/m3 (The density of water is ρw = 1000 kg/m3  .)