- #1
Like Tony Stark
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- Homework Statement
- An homogenous disk of radius ##r## and mass ##m## rotates about the point ##O## with ##\omega_2## and is restricted to move in a horizontal plane. It also rotates about the point ##G## with constant angular velocity ##\omega_1##. Determine the reaction forces on ##A##, ##O## and ##C##. Consider that the bar of length ##L## has no mass.
- Relevant Equations
- ##\Sigma M=I \dot\omega +\omega × I \omega##
I know that
##\vec{v_c}=(\omega_1;-\omega_2;0)×(L;-r;0)=0##
So ##\omega_2=\frac{r\omega_1}{L}##
Then, using the system of coordinates shown in the picture and ##\Sigma M_z## I can find the reaction force in ##C##.
But how can I find the reaction forces on ##A## and ##O##? I mean, what system should I use to apply Euler equations?
##\vec{v_c}=(\omega_1;-\omega_2;0)×(L;-r;0)=0##
So ##\omega_2=\frac{r\omega_1}{L}##
Then, using the system of coordinates shown in the picture and ##\Sigma M_z## I can find the reaction force in ##C##.
But how can I find the reaction forces on ##A## and ##O##? I mean, what system should I use to apply Euler equations?