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.
biomajor009
Messages
9
Reaction score
0

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

 
Physics news on Phys.org
Something amiss in the question.. or, there shouldn't be (2) part.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Torque and Rotational Equilibrium with a slanted Rod/Cable
Replies
7
Views
3K
How Do You Calculate Tension Correctly in a Pivoting Rod System?
Replies
1
Views
4K
How Do You Calculate Forces and Balance a Hanging Cafe Sign?
Replies
18
Views
3K
Finding Static Equilibrium: Solving a Rod and Cable System
Replies
4
Views
3K
Finding Tension in Rotating Rod: What is the Function of T(x)?
Replies
4
Views
2K
Angular Acceleration of a Rod in an Uneven String Setup
Replies
12
Views
3K
Static Equilibrium with buoyant force. High difficulty.
Replies
6
Views
2K
More tension in a wire attached to a rod
Replies
5
Views
3K
Torque, beam, angular acceleration problem
Replies
4
Views
4K
Tension and Equilibrium: Hanging sign
Replies
8
Views
3K

Hot Threads

Recent Insights

Back
Top