Angular Acceleration of A rod with friction. Dynamics (General Plane)

AI Thread Summary
A 100 kg slender rod is lifted at a 30-degree angle with the right end on the ground, and the coefficient of friction is 0.5. The equations of motion were applied, summing forces in both x and y directions, with the y acceleration of the center of gravity considered to be zero due to ground contact. Moments were calculated about the center of gravity, leading to an angular acceleration result of 17.26 rad/s^2 counterclockwise. However, there is uncertainty about the correctness of this value and the overall approach to finding the angular acceleration at the moment of release. The discussion seeks clarification on the calculations and the specific question being addressed.
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Homework Statement


A 100 kg slender rod is lifted on the left end until the angle between the ground and the right end is 30 degrees. The right end is still in contact with the ground. The coefficient of friction between the rod and the ground is .5 and the length of the rod is 2.1 m.


Homework Equations



∑fx=m(ag)x
∑fy=m(ag)y
∑Mg=Ig
Ff=.5Fn


The Attempt at a Solution




I summed the forces in the x direction and got -Ff=m(ag)x
In the y direction I got -981+Fn=m(ag)y but i think the y acceleration of the center of gravity may be zero because of the fact that the bar can't translate up or down due to the contact with the ground. It can only rotate or slip horizontally on the ground. Finally i summed the moments about the center of gravity and got that fn(1.05cos(30))+Ff(1.05sin(30))=36.75∂

I got a final answer of 17.26 rad/s^2 counter clockwise, but i don't think it is correct. Any suggestions?
 
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What is the actual question?
 
paisiello2 said:
What is the actual question?


Find the angular acceleration at the instant it is released. So the angle is 30 degrees
 
The center of mass will accelerate in the y-direction as well as the x-direction.
 
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