Using a forked rod, a 0.2-kg smooth peg p is forced to move along the vertical slotted path r = (0.5 θ) m, where θ is in radians. the angular position of the arm is θ = (π/8t^2) rad where t is in seconds. the peg is in contact with only one edge of the rod and slot at any instant.

For a gate width of 2 m into the paper, determine the force required to hold the gate abc at its location.

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.

Heat transfer by is the fastest mode of heat transfer that requires no intervening medium. a)-conduction b)-convection c)-radiation d)-conduction and convection