Kennedy's Theorem (1) (a) Find all of the instant centers of velocity for the mechanism shown below. (b) If 02 = 10 rad s CCW, determine 03, VD, and vc (Use Kennedy's Theorem). BC = CD BD = 20 cm...

Kennedy's Theorem (1) (a) Find all of the instant centers of velocity for the mechanism shown below. (b) If 02 = 10 rad s CCW, determine 03, VD, and vc (Use Kennedy's Theorem). BC = CD BD = 20 cm 2 150 50 (2) For the linkage given, 02 = 10 rad/s CCW. (mi = 10 cm/em) (a) Determine 03 and 06 using Kennedy's theorem. (b) Determine the magnitude of Coriolis acceleration of slider 5 and show its direction on the figure. B D 35 (B)..... Cam Mechanisms The following sequences (problem 1,2 and 3) are required for the follower displacement. In each sequence: a) Sketch the motion diagrams and indicate the magnitudes and locations of Vmax and a max when N = 200 rpm b) The time of each interval and the full time of cam cycle Problem (1) • Rise 25 mm with constant +ve acceleration in 90°, followed by a rise of 25 mm with constant deceleration in 90° • Dwell 30° • Fall 50 mm with S.H.M in 120° • Dwell 30° Problem (2) Rise 40 mm with SHM in 180° • Dwell 60° • return 40 mm with S.H.M in 120° Problem (3) • Rise 38 mm with Cycloidal motion in 180° • Return 38 mm with cycloidal motion in 120° • Dwell 60° Problem (4) A cam drive is required for an automated slide on a screw machine that turns intricate parts. The follower is required to follow the following sequence: Rise 60 mm with constant acceleration in 1.2 sec., • Dwell for 0.7 sec. • Return 20 mm with constant acceleration in 0.9 sec. • Dwell for 0.5 sec. • Return 40 mm with constant acceleration in 1.2 sec. and then repeat the sequence a) Determine the required speed of the cam b) Sketch the motion's diagrams as function of cam rotation c) Calculate Vmax and a mar in each interval and show their locations on the diagrams (5) In problem (2), for radial flat faced follower determine the coordinate of cam profile x,y when 01 = 120°, 02 = 200°, and 03 = 300° (note: Taker) = 25 mm). (6) Use theory of envelop to construct a cam profile that drives a radial flat faced follower according to the displacement function: s=h/2[1+cosé] a) Determine the parametric equation of the profile x = x(O) and y = y) b) Eliminate () and prove that the cam profile is given by the equation: ? + (y - h/2) = (r3 +h/2) c) Draw a sketch for this profile. d) Find the coordinates of the profile at 0 = 50° ifr) = 30 mm and h = 55 mm?
Dec 14, 2021
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