Dynamics: Relative Motion Analysis

[jdawg]

Homework Statement

[/B]
If bar AB has an angular velocity of 6 rad/s, determine the velocity of the slider block C at the instant shown.

2. Homework Equations

The Attempt at a Solution

v_B=v_A+w_ABxr_B/A

v_A=0

v_B= -0.8485i+0.8485j

So then C relative to B:
v_C=v_B+w_BCxr_C/B
-v_Ci= -0.8485i+0.8485j+0.25w_BCi+0.433w_BCj

After equating i and j terms...
Solved for w_BC= -1.96 rad/s

and v_C=3.30 m/s

The solution I'm looking at has 2.32 m/s as the answer! I'm not sure what I'm doing wrong!

 

[Simon Bridge]

Please exaplain your reasoning for each step.