In this problem, we will design a plate cam with a flat-face follower. the displacement is given as ݕሺߠሻ ൌ ൝ 0 if 0 ൑ ߠ ൏ ߨ/2 1 ൅ cosሺ2ߠሻ if ߨ/2 ൑ ߠ ൏ 3ߨ/2 0 if 3ߨ/2 ൑ ߠ ൏ 2ߨ the displacement is measured in cm. (1) obtain the derivatives ௗ௬ ௗఏ and ௗమ௬ ௗఏమ. (2) determine the optimal radius r0 of the prime circle to avoid the undercut. use the minimum radius of curvature for the cam profile rhomin = 2 cm. (3) determine the minimum face width for the follower.

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.