Help with Rigid Body Exercise: Determine Speed of B

AI Thread Summary
The discussion focuses on a rigid body exercise involving collars A, B, and C, where collar C moves downward at a speed of 0.2 m/s. The initial approach suggested calculating the speed of B using angular velocity and center of mass, but a participant advises that the problem is primarily geometric rather than physics-based. They recommend defining angles θ and φ to establish a geometric relationship, which can then be differentiated to find the necessary rates. This shift in perspective emphasizes the importance of geometry in solving the problem. The conversation highlights the need to reassess the approach to better align with the problem's requirements.
Telemachus
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Homework Statement


Hi there, I'm starting with rigid body, and I'm having some trouble with it, so I'll need your help :D

I have this exercise now, but I will probably come with some others later.

The exercise says: The collars A and C glide along the vertical rods and B of the horizontal. If C has a downward speed of 0.2m/seg. when it reaches plotted to determine the angular velocity of the rod AB.

attachment.php?attachmentid=30305&stc=1&d=1291333079.gif


So, what I think I have to do at first, is to determine the speed of B. Is this right? so I've proceeded this way:

V_c=V_{cm}+\omega\times{R_{c/q}}

R_{c/q}=25\cos45º \hat{i}+25\sin45º \hat{j}

With this I would find the omega between B and C, and then the speed of B.
V_B=V_{cm}+\omega\times{R_{b/q}}

What you say?

Bye there and thanks for your help :)

PD: Sorry for the pic. The vertical rods are larger :P
 

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Hi Telemachus! :smile:

(a bit late, I know, but perhaps this will help)
Telemachus said:
So, what I think I have to do at first, is to determine the speed of B. Is this right? so I've proceeded this way*…

No, I wouldn't do it that way at all.

You're treating this as a physics problem, with centre of mass etc.

It isn't, it's purely a geometry problem …

call the two angles θ and φ, and find the geometric relation between them.

Then differentiate that to get dφ/dθ :smile:
 
Thanks tiny!
 
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