Question

Student's Name: blem 4. Figure 3 shows the modified trapezoidal acceleration function for the rise function in the double dwell cam design. 0 B8 3/8 B/256/8 78 B Figure 3 The modified trapezoidal acceleration function 1) Suppose the rise is from to , what is the value for B? ( 2 points) 2) The acceleration function in zone A (O Ses) is sin(e) derive the jerk function in zone A. (2 points) 3) List the boundary conditions (s.v.a) for 0 = 0. (hint: before zone A is the low dwell) (3 points) 4) Derive the velocity function in zone A. (4 points) Finally, derive the displacement function in zone A. (3 points) 5) Given the angular velocity of the cam w = 2 rad/s, what is the actual velocity and acceleration when e = ? (4 points) If is constant Displacement(s) y(@) Velocity (v) y(@) = y' YO) = y'o Acceleration (a) y) = y"02 + y'a yo) = y Jerk () yo) = y3 + 3y"+ y'a y(0) (0) = y2

Answer 1

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a Sm( sin -sm(2)= 1 at o a sm 4 Ct w-2 Yad/s and 47 p 4AX2