Hi Everyone,(adsbygoogle = window.adsbygoogle || []).push({});

This is my first post so bare with me. Firstly, a bit of background about the problem.

I am designing a near rear drive train for a formula student car which incorporates a chain tensioning device linking the differential to the rear of the chassis.

Essentially I am wanting to quantity the amount of movement in the x direction brought about through the lengthening or shortening of the chain tensioner (a threaded section of metal) which acts at a varying angle dependent on length.

The mechanism follows that of an inverse slider crank mechanism whereby there are two fixed points, one arm of fixed length, L1, which can rotate in a circular motion and an arm of varying length, r1, attached to the rotating arm. A sketch of the system is attached.

I am able to develop the x and y loops in terms of the angles shown in the picture. The part which I am getting REALLY confused by is showing the equations. From looking at other examples this should just be a case of equation the two equations however I have not been able to successfully do this/I end up with too many unknowns.

Ideally what I was hoping to produce was an equation which when inputed with the length of the chain tensioners, r1, would produce a value for x(after some more basic trig/co-ordinate geometry maybe). From looking at what I have so far I would have thought that the equations would be used to produce theta and theta2 which could then be used to calculate the co-ordinate for where r1 would sit, which could then be used to calculate the change in x.

Phi, L1, L2 =constants and are known

R1 would be the input

Theta and theta2 = outputs

If someone could advise the method that I should be using that would be great. I have been reading into this/looking at examples for quite some time and have really struggled to get my head round it.

Thanks,

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Position analysis of slider crank like mechanism using loop equations

**Physics Forums | Science Articles, Homework Help, Discussion**