A wedge cam has a cycloidal profile. The follower must rise 0.05m as the cam adv

Question

A wedge cam has a cycloidal profile.  The follower must rise 0.05m as the cam advances through 0.2m in time t=0.2s.

The wedge velocity follos the relations Vx = 1.5(1-100(t-0.1^2))

1. Determine the relationship for the "y" position of the follower as a function of "x".

2. Determine the relationship for the "y" position of the follower as a function of "t"

3. Determine the relationship for the velocity "Vy" of the follower as a function fo "t"

4. Determine the relationship for the acceleration "Ay" of the follwer as a funciont of "t".

Explanation / Answer

1,..calculating the X and Y position of a point from a given equation is a basic problem in algebra. It uses the coordinate plane and allows you to visualize the relationship between two variables in a function. Even for complicated equations, plotting the X and Y position can be done using simple algebra. When the process is repeated for different values of Y, you can begin to draw a graph of the equation. This process can help students become familiar with the geometrical properties of equations.

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