Find the mathematical equation for a rotating cam and follower

Voltaire
Voltaire
@voltaire-4MxWke โ€ข Oct 24, 2024

Consider the following moving cam (rotating round bit) with follower (straight rod):
[โ€‹IMG]
The follower is of fixed length and is attached to a fixed point on the rotating cam while the other end of the follower is guided such that it is always below the center of rotation of the cam.

Solve:
1. Draw a graph for the velocity and acceleration for the x-axis as well as the y-axis for both ends of the cam follower
2. Show your formulation

Hint:
Only if requested ๐Ÿ˜‰

The answer will be posted here in a week or so
Good luck!

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  • Morningdot Hablu
    Morningdot Hablu

    @morningdot-6Xuj4M • Sep 9, 2010

    I think the graph of acceleration along x axis is as follows

    [โ€‹IMG]

    where horizontal line represent the acceleration and vertical represents the angle varies.

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  • Voltaire
    Voltaire

    @voltaire-4MxWke • Sep 11, 2010

    No takers?
    Hint(s)

    1. Assume circle unity i.e. r = 1
    2. Let follower length = 2[sup]0.5[/sup] (Pythagoras x[sup]2[/sup] + y[sup]2[/sup] = โ„“[sup]2[/sup])
    3. Since the top of the follower moves with the cam, x[sub]1[/sub] = cos(ฮธ) and y[sub]1[/sub] = sin(ฮธ)
    4. For the bottom of the follower x[sub]2[/sub] is always = 0

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