(Solved): 1. A high-speed plate cam with a reciprocating follower is to be driven by a constant-speed motor a ...

1. A high-speed plate cam with a reciprocating follower is to be driven by a constant-speed motor at 300 rpm. The follower is to start with a rise through 20° in 60° of cam rotation by accelerating to a velocity of 36 in/s for a 0.5 inch of rise, then dwell, accelerate again for a 2.0 inch of rise through 20° in 80° of cam rotation, decelerate to the top of the lift, return, and then dwell for 0.18 s. The total lift is to be 2.5 inch. a. Determine the speed of the input shaft. b. Using the equation for the first-order kinematic coefficient, determine the slope (in in/rad) of the AB "velocity" segment. c. Determine the cam rotation (in rad) in this segment for the 0.5 inch of rise. d. Determine the cam rotation (in rad) during the final dwell. Homework The complete specifications of the displacement, velocity and acceleration diagram is shown below. Using the information (cam rotations) you determined above, e. Complete the cam table below. Section AB BC CD DE EA Type Cycloidal Dwell 8th Order Poly 8th Order Poly Dwell L 0.5 in 0 2.0 in 2.5 in 0 in B. deg B. rad 45.00 0.7854 80.77 1.4097 114.23 1.9937 AA For this cam, the maximum "velocity" occurs in the segment CD, where y'=3rd/48 and the minimum "velocity" occurs in segment DE where y'= d./83, and the maximum negative "acceleration" occurs at D, where y=-3x²L/88². f. Determine the maximum "velocity" (that is, the maximum value of the first-order kinematic coefficient) that occurs in the segment CD. g. Determine the minimum face width of the follower. h. Determine the minimum prime-circle radius if the radius of curvature of the cam is not to be less than 0.75 inches.