A Uniform Beam Supported by a Cable

Click For Summary
SUMMARY

The discussion focuses on calculating the tension in a cable supporting a uniform 250 kg beam. The problem emphasizes the use of static equilibrium principles, specifically the net force equation Fnet=ma=0. Participants highlighted the importance of correctly resolving the angles of tension, noting that the cable's angle to the horizontal is 60 degrees, contrary to the initially assumed angles of 40 and 20 degrees. Additionally, the presence of frictional force at the ground was acknowledged as a critical factor in the analysis.

PREREQUISITES
  • Understanding of static equilibrium and net force equations
  • Knowledge of torque and its application in physics problems
  • Ability to resolve forces into components using trigonometry
  • Familiarity with the concept of friction and its role in static scenarios
NEXT STEPS
  • Study the principles of static equilibrium in detail
  • Learn how to apply torque in beam problems effectively
  • Practice resolving forces at different angles in physics problems
  • Explore the effects of friction in static and dynamic systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and static equilibrium, as well as educators seeking to enhance their teaching of force resolution and torque concepts.

ginza88
Messages
1
Reaction score
0

Homework Statement



A uniform 250 kg beam is supported by a cable connected to the ceiling, as shown in the figure. The lower end of the beam rests on a rough, horizontal floor. What is the magnitude of the tension in this cable?

Image of the problem:
http://session.masteringphysics.com/problemAsset/1026378/6/yg.10.70.jpg

Homework Equations



Fnet=ma=0

The Attempt at a Solution



I know that this problem is easiest to complete using torques, but I was told to try it without using torque (if possible). That being said, here is my attempt:

http://imgur.com/jKr3tDC

I know that I got the right answer but I am not sure how. Aren't the 40 degrees and the 20 degrees are the wrong angles to use when using a horizontal/vertically oriented plane?
 
Physics news on Phys.org
Your working does indeed look wrong.
You show the tension resolving into T cos(20o) horizontally and T sin(20o) vertically, whereas the cable makes an angle 60o to the horizontal.
You don't show any frictional force at the ground, but there must be one.
 

Similar threads

Tension and net torque in a cable
  • · Replies 10 ·
Replies
10
Views
6K
Weight held by a beam and cable
  • · Replies 2 ·
Replies
2
Views
1K
What is the tension in the right cable?
  • · Replies 4 ·
Replies
4
Views
2K
Solve Static Equilibrium: Beam, 520N Force, Cable Tension
  • · Replies 2 ·
Replies
2
Views
2K
Torque and rotational equilibrium question
  • · Replies 6 ·
Replies
6
Views
4K
Cable car with 2 cable arrangement
  • · Replies 1 ·
Replies
1
Views
7K
Pin and cable supported by a beam
  • · Replies 1 ·
Replies
1
Views
3K
Torque and Rotational Equilibrium with a slanted Rod/Cable
  • · Replies 7 ·
Replies
7
Views
3K
Equilibrium problem - Vertical beam, cable
  • · Replies 9 ·
Replies
9
Views
5K
How Do You Calculate Tension in a Cable and Force on a Hinge?
  • · Replies 2 ·
Replies
2
Views
4K