- #1

maths85

- 6

- 1

## Homework Statement

Design an offset slider-crank mechanism which has the following specifications:

1. Stroke length of slider block C = 150 mm

2. Advance-to-return time ratio = 1.2

3. Offset height h = 50 mm

Prove

__mathematically__that the lengths of the crank and of the connecting rod are AB

= 71 mm and BC = 178 mm respectively to the nearest millimetre.

**I would appreciate any help to find the process and ecuations necessary to solve this problem.**

I have tried to use differet ways to solve it but it gets very complicate and it suppose to be something easier..

I found a possible solution using the next representation and equations:

2. Homework Equations

I have tried to use differet ways to solve it but it gets very complicate and it suppose to be something easier..

I found a possible solution using the next representation and equations:

2. Homework Equations

We take into account that:

When I got this quadratic equations I realize that its getting too complicate, plus even solving this equations at the end there is not solution and I need to use a graphic way to find the length of the crank, and I have to use only mathematically process to solve it, I can't solve it graphically.

Another possible solution that I found was using the next steps:

## The Attempt at a Solution

Another way that suppose to drive to calculate the lengths is using complex numbers but I started and it is quite complicate also.

Does anybody know where could I find a non very complicate way to solve this, my teacher told me that it suppose to be a mathematical method that is not very complicate?

I don't need anybody to make it for me, only a little help to where could I find formulas and the right approach to solve it.

Thank You.

Have a good day