What Are the Tensions and Angular Acceleration in a Hanging Rod System?

AI Thread Summary
The discussion focuses on a physics problem involving a 43kg sign hanging from a 2.2m rod supported by two wires. Participants are tasked with calculating the tension in each wire, determining the off-center position of the sign, and finding the angular acceleration of the rod if one wire snaps. Key equations for equilibrium and center of mass are provided to assist in solving the problem. There is a suggestion that the question may be flawed or that part (2) might not be necessary. The conversation emphasizes the need for clarity in problem statements to facilitate accurate solutions.
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Homework Statement


A 43kg sign hangs by a thin wire slightly off center on a 2.2m long, thin rod. Each end of the rod is supported by a thin wire. the mass of the rod is 18.3kg

1. Determine the tension in each of the 2 wires that support the rod.

2. How far off-center is the wire supporting the sign? Is it toward the left or right end?

3. If the wire on the right were to snap, what would the angular acceleration of the rod about its left end be during the moment after it snapped?


Homework Equations


\SigmaFx = 0
\SigmaFy = 0
\Sigma\tau = 0

xcm = (\Sigmami*xi) / M


The Attempt at a Solution

 
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Something amiss in the question.. or, there shouldn't be (2) part.
 
Thread 'Collision of a bullet on a rod-string system: query'

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In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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