1. Design a crank-rocker linkage that will move the rocker link between two extreme positions 45 deapart. The rocker should take twice the time to moving in one direction that it takes moving in theother.somyb\\; eqrad no malieb uroy dont elle est sor oldnoba mareono molfoque (doiliw now wodor00. aasbois.oved nov2. If the fourbar linkage designed in question 1 is non-grashof, list two ways in which you would alter thedesign so that the crank is able to rotate.

Answered: 1. Design a crank-rocker linkage that…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

1. Design a crank-rocker linkage that will move the rocker link between two extreme positions 45 de
apart. The rocker should take twice the time to moving in one direction that it takes moving in the
other.
somyb\\; eqrad no malieb uroy dont elle est sor oldnoba mare
ono mol
foque (do
iliw now wodor
00. aasbois.oved nov
2. If the fourbar linkage designed in question 1 is non-grashof, list two ways in which you would alter the
design so that the crank is able to rotate.

Expert Solution

Step 1

To design a crank-rockbar linkage that meets the given requirements, one can follow these steps:

Determine the desired range of motion for the rocker link. In this case, the rocker should move between two extreme positions 45 degrees apart.
Decide on the rotation direction of the crank. Since the rocker should take twice the time to move in one direction compared to the other, we can choose the crank to rotate in the faster direction for the shorter motion, and in the slower direction for the longer motion.
Determine the required crank length. The crank length should be long enough to provide the desired range of motion for the rocker. In addition, the ratio of the two motion times can be adjusted by varying the crank length.
Determine the length of the rockbar. The length of the rockbar should be chosen such that the rocker moves between its two extreme positions as the crank rotates.
Determine the location of the pivot points for the crank and rockbar. The pivot point for the crank should be placed on the circumference of the crank circle, while the pivot point for the rockbar should be located on the line connecting the two extreme positions of the rocker.
Sketch the linkage and verify that it satisfies the design requirements.

Here is one possible design that satisfies the given requirements:

Let the crank circle have a radius of 1 unit.
Let the rockbar have a length of 2 units.
Place the pivot point for the crank at the 135-degree mark (measured counterclockwise from the positive x-axis).
Place the pivot point for the rockbar at a distance of 1 unit from the midpoint between the two extreme positions of the rocker. The pivot point should be on the line connecting the two extreme positions of the rocker, and closer to the shorter motion end of the rocker.

With these specifications, as the crank rotates counterclockwise from its initial position, the rocker will move to its first extreme position in a shorter time (counterclockwise motion), and to its second extreme position in a longer time (clockwise motion). The ratio of the two motion times is roughly 2:1.

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