design a double-dwell cam to move a follower from 0 to 10 mm in 90 deg, dwell for 45 deg, fall 10 mm in 180 deg and dwell for the remainder. the cam shaft rotational speed is 10 rad/sec. both rise and fall segments follow a 3-4-5 polynomial. roller radius is 12.5 mm and base radius is 63.7 mm. effective mass of the follower system is 7.5 kg. the damping coefficient is 2.74 n-s/m (damping ratio is 0.05) (a) (2 points) write down the s-v-a-j equations you will be using to describe one full revolution of the cam. (b) (4 points) will a spring with preload of 10 n and spring rate of 100 n/m be satisfactory for this cam? calculate the kinetic force to explain why (or why not). (c) (4 points) what is the power requirement to run this cam?