A circular plate with its edges clamped carries distributed lateral load, whose intensity varies linearly with radius r, from zero at r = 0 to q at r = a. a. Derive the expressions for w = w(r). Also determine the center deflection.

b. Combine the answer of part (a) with one other case to obtain the center deflection due to distributed load that varies linearly with r, from q at r = 0

to zero at r = a

Liquid flows at steady state at a rate of 2 lb/'s through a pump, which operates to raise the elevation of the liquid 100 ft from control volume inlet to exit. the liquid specific enthalpy at the inlet is 40.09 btu/lb and at the exit is 40.94 btub. the pump requires 3 btu/s of power to operate. if kinetic energy effects are negligible and gravitational acceleration is 32.174 tt/s, the heat transfer rate associated with this steady state process is most closely 1)-2,02 btu/s from the liquid to the surroundings 2)-3.98 btu/s from the surroundings to the liquid. 3)-4.96 btu/s from the surroundings to the liquid. 4)-1.04 btu/s from the liquid to the surroundings.