If the mass of the block is too large and the block is too close to the left end of the bar (near string B) then the horizontal bar may become unstable (i. e., the bar may no longer remain horizontal). What is the smallest possible value of x such that the bar remains stable (call it xcritical)? Express your answer for xcritical in terms of m1, m2, d, and L.

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.