Struggling with constrained motion of connected particles

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The discussion revolves around a physics problem involving connected particles and their constrained motion. The user is attempting to calculate the velocities of two particles, OA and OB, given specific parameters and equations. They derive a velocity for particle B but find a discrepancy with the answer provided in the textbook. Feedback from others suggests reviewing the relevant equations, particularly the initial equation used, which may be incorrect. The user seeks clarification and assistance to resolve the calculation error.
Imperiosus
Hi everyone!

Really struggling with this question here, was hoping someone could point me in the right direction?
https://puu.sh/xVitw/4c0b89c576.png

1. Homework Statement

Set origin to bottom right.
OA is y (Which using cos(60)*R you can determine to be 0.5R).
OB is x (which you can determine using Pythagorean (2R)^2 = (0.5R)^2 + x^2 x =sqrt(3.75).
We are told in the problem that the speed of b is 2m/s.

Homework Equations


[/B]
L^2 = x^2 + y^2
Differentiate everything Note a=velocity of x and b = velocity of y in the y direction
0= 2xa + 2yb

The Attempt at a Solution


We know the velocity of x is 2
0= 2(sqrt3.75)(2) + 2(0.5)(b)

b=7.745 and using trig i get 8.944 for the speed of y total. (7.745/sin60)

According to the back of the book, the answer is 2.76, so clearly I am doing something very wrong!

Any help is appreciated, Thanks!
 
Last edited by a moderator:
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Check your relevant equations. The first one is not correct.
 

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