Dynamics (Kinematics) relative motion, HELP

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The problem involves determining the velocity of piston C in a rotating bar AB with an angular velocity of 10 rad/s at an angle of 45 degrees. The user calculated the velocity Vb using the equation Vb = w * rab, resulting in 2108.2 cm*rad/s. They are uncertain whether to use the given angular velocity of 10 rad/s for further calculations involving Vc. The discussion focuses on clarifying the correct application of angular velocity in the context of relative motion and instantaneous centers. Understanding the correct use of angular velocity is crucial for accurately determining the velocity of piston C.
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Homework Statement



The bar AB is rotating with an angular velocity w=10rad/s. Determine the velocity of the piston C at the instant θ = 45. Provide the vector solution and the solution with the instantaneous center of zero velocity


Homework Equations


Vb = Va + w x r(b/a)
Vc = Vb + w x r(b/c)
vb = w*r(b/ic)



The Attempt at a Solution


I found Vb (Vb = w*rab) Vb=2108.2 cm*rad/s. Vc = 2108.2cm*rad/s + w*224.6cm. IS the w I use for the equation the one given to me (10 rad/s) or is it another one?
 

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