- 2,981

- 2

**!!!Desperate!!This Dynamics Problem is Killing ME!!**

**1. Homework Statement**

We have ben dealing with General Plane motion of a rigid body and this problem has been getting the best of me for some time now

I know from the text that the answers are [itex]\omega_a=14 rad/s[/itex] [itex]\omega_b=28.8 rad/s[/itex] and [itex]\omega_c=26.7 rads\s[/itex]

Now so far this is all I have been able to accomplish. I know that since member DE id rotating about E, the velocity of gear C's center of gravity is

[itex]v_c=r_{DE}\omega_D=.8 m/s[/itex]

I also know that this velocity must be equal to [itex]r_c\omega_c\Rightarrow \omega_C=\frac{.8}{.03}=26.667[/itex] This I presume is true since where C makes contact at F can be considered the instantaneous center of zero velocity (IC from now on).

I cannot seem to get this concept to work for the other gears though. I think that where gear C and B meet, their tangential velocities must be equal. Thus using IC to find that velocity,

[itex](v_t)_c=(v_t)_b=r_{c/IC}*\omega_c=.06*26.667=1.60 m/s[/itex] But now I am lost. I want to find the angular velocities of gears B and A.

Can someone please help me out here?

Thanks