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How many mechanisms are possible which have 5 links (including ground) and have 1 dof?

The free-response design questions start here. 

What is the degree of freedom of the following mechanism?

Cam designAs the cam rotates with some constant angular velocity, we want the follower to start from 0 and reach 1 inch height, over half the rotation (over angle 0 to pi). This motion should have constant follower velocity (thus the segment from 0 to pi is a straight line with slope dS/dtheta = 1/pi). Design the polynomial displacement function

For the slider crank mechanism below. At this instant, the input crank (4 in) is rotating counterclockwise at 1 rad/s. What will be the magnitude of the angular velocity of coupler link (6 inch) in rad/s.  (Just enter a positive number to three decimal places, no spaces, no units)

For the cam shown below. What is the pressure angle at this instant?(Approximate answer is ok)

MUST SHOW WORK.

MUST SHOW WORK. Circle answer on scratch work. 

Why is control of anabolic and catabolic processes so important to cells/ the body?

What is the impact of insulin on lipolysis (fat break down)?