Finding X and Y values knowing angles and some side dimensions

[anurizada]

Hello everyone,

I have problem finding x and y values shown on the picture given that I know the angle values given on the picture and all the sides lengths. X and Y are equal to zero at the left circle as shown on the photo. Do not look at the given angle and x and y values depicted on the pictures.

Thank everyone in advance, any kind of help will be appreciated!

 

[Dr.Peterson]

Are you saying that you could find the coordinates for the two joints whose coordinates are not shown, but you are having trouble finding the coordinates for the uppermost joint? That is, if we label the joints A, B, C, D, and E starting at the one marked as the origin, you are given the coordinates of A and E, and can find B and D, but can't find C?

If so (or even if not), please tell us what you did find, so we can start from there, and can see how well you are handling the easier parts.

Also, are we to guess that the link lengths on left and right are equal? (AB = DE, BC = CD?) The pictures look that way, but we need to know.

I can see a couple ways to do the last step. One is to use the coordinates of each of the joints B and D and write the equations of the two circles on which C lies, and solve. Another is to use the fact (if BC = CD) that C lies on the perpendicular bisector of BD. Another could be to solve the oblique triangle BCD using the Law of Cosines (probably the hard way!).

 

[anurizada]

Are you saying that you could find the coordinates for the two joints whose coordinates are not shown, but you are having trouble finding the coordinates for the uppermost joint? That is, if we label the joints A, B, C, D, and E starting at the one marked as the origin, you are given the coordinates of A and E, and can find B and D, but can't find C?

If so (or even if not), please tell us what you did find, so we can start from there, and can see how well you are handling the easier parts.

Also, are we to guess that the link lengths on left and right are equal? (AB = DE, BC = CD?) The pictures look that way, but we need to know.

I can see a couple ways to do the last step. One is to use the coordinates of each of the joints B and D and write the equations of the two circles on which C lies, and solve. Another is to use the fact (if BC = CD) that C lies on the perpendicular bisector of BD. Another could be to solve the oblique triangle BCD using the Law of Cosines (probably the hard way!).

Thank you for your help, but I think I did bad job explaining my problem. I am given angle values shown on the picture and all I need is to find the coordinates of point C. What I was trying to say is that I can calculate angle values from x and y position of point C, but I cannot go the other way. I do not need coordinates of points B and D. In addition to that, I forgot to say that AB = DE = 6 and BC = CD = 8.

 

[Dr.Peterson]

So, my guess about what you knew, and the goal, was correct. But I don't know what you mean by, "I can calculate angle values from x and y position of point C, but I cannot go the other way. "

Please show what you are able to do, specifically, so I can be sure where to start. What are all the coordinates you know (i.e. B and D)? What angles did you calculate?