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

Click For Summary
SUMMARY

The discussion focuses on a physics problem involving a 43kg sign suspended from a 2.2m long rod with a mass of 18.3kg. The primary objectives are to calculate the tension in the supporting wires, determine the off-center position of the sign, and analyze the angular acceleration of the rod if one wire snaps. Key equations utilized include the sum of forces in the x and y directions and the sum of torques. The problem presents complexities, particularly regarding the necessity of the second part of the question.

PREREQUISITES
  • Understanding of static equilibrium principles in physics
  • Familiarity with torque and angular acceleration concepts
  • Knowledge of center of mass calculations
  • Proficiency in applying Newton's laws of motion
NEXT STEPS
  • Study static equilibrium problems involving multiple forces and torques
  • Learn about angular acceleration calculations in rigid body dynamics
  • Explore center of mass determination for composite systems
  • Investigate the effects of sudden force removal on static systems
USEFUL FOR

Students and educators in physics, particularly those focusing on mechanics and dynamics, as well as anyone involved in solving complex equilibrium problems.

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.
 

Similar threads

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