In Prob. 15,178, determine the angular velocity and angular acceleration of disk S at the instant when φ = 135?. Problem 15.178: The Geneva mechanism shown is used to provide an intermittent rotary motion of disk S. Disk D rotates with a constant counterclockwise angular velocity ωD of 8 rad/s. A pin P is attached to disk D and can slide in one of six equally spaced slots cut in disk S. It is desirable that the angular velocity of disk S be zero as the pin enters and leaves each of the six slots; this will occur if the distance between the centers of the disks and the radii of the disks are related as shown. Determine the angular velocity and angular acceleration of disk S at the instant when φ = 150?.

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Disk S Rg=√3RD 1-28p Rp 1.25 in. = Disk D when =120°