In the mechanism shown, block B is fixed and has a profile described by the foll

Question

In the mechanism shown, block B is fixed and has a profile described by the following relation:

y = h[ 1 + 1/2(x/d)^2 - 1/4(x/d)^4 ]

The follower moves with the shuttle A, and the tip C of the follower remains in contact with B.

Assume that h = 0.25in., d = 1in., and the horizontal position of C is x = dsin(wt), where w = 2pi rad/s, and t is time in seconds. Determine an analytical expression for the speed of C as a function of x and the parameters d, h, and w. Then, evaluate the speed of C for x = 0, x = 0.5in., and x = 1in. Express your answers in ft/s.

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