Equilibrium and principle of triangle of forces

In summary, the problem involves a rope of 5m fastened to two hooks 4m apart on a horizontal ceiling. A 10kg mass is attached to the rope, creating segments of 3m and 2m. The equations used to solve the problem are the sine rule and cosine rule. By placing the 10kg mass at the apex of the triangle, tensions of 60N and 40N develop in the ropes. The main difficulty is drawing the diagram, but the solution involves using the known lengths and applying the appropriate equations.
  • #1
verb tense
19
1
1. Homework Statement
A rope of 5m is fastened to two hooks 4m apart on a horizontal ceiling. To the rope is attached 10kg mass so that the segment of the rope are 3m and 2m.Compute the tension in the string


2. Homework Equations

Sine rule, cosine rule

3. The Attempt at a Solution
check attachment. help urgently!:cry:
 

Attachments

  • ji.jpg
    ji.jpg
    15.5 KB · Views: 528
Physics news on Phys.org
  • #2
Well, have you tried putting the 10 kg mass at the apex of the triangle? What forces might develop as a result?
 
  • #3
My problem is drawing the diagram i know the things to do. Please can you help me draw the diagram?
 

Attachments

  • ji.jpg
    ji.jpg
    16.1 KB · Views: 501
  • #4
You have a diagram. With the 10 kg weight attached to the apex of the triangle, what tensions develop in the ropes?
 
  • #5
60N and 40N
 

FAQ: Equilibrium and principle of triangle of forces

1. What is equilibrium?

Equilibrium is a state in which all forces acting on an object are balanced, resulting in no change in its motion or position.

2. How is equilibrium achieved?

Equilibrium is achieved when the vector sum of all forces acting on an object is equal to zero. This means that the forces are balanced and there is no net force acting on the object.

3. What is the principle of triangle of forces?

The principle of triangle of forces states that if three forces acting on an object can be represented by the sides of a triangle, then the object will be in equilibrium.

4. How is the triangle of forces used in solving equilibrium problems?

The triangle of forces is used to visually represent the forces acting on an object and to determine their resultant force. By drawing a scale diagram of the forces, the magnitude and direction of the resultant force can be calculated using trigonometric principles.

5. Can the triangle of forces be used for non-coplanar forces?

No, the triangle of forces can only be used for coplanar forces, meaning forces acting on the same plane. If dealing with non-coplanar forces, the principle of parallelogram of forces must be used instead.

Similar threads

A rope of 5m is fastened to two hooks 4m apart on a horizontal ceiling
Replies
26
Views
5K
1) A rope 5m is fastened to two hooks 4m apart on a horizontal
Replies
4
Views
4K
Tension in two ropes attached to a beam
Replies
8
Views
9K
Calculating Tension with a Centered Object
Replies
6
Views
6K
Resolving forces involving an elastic string
Replies
1
Views
1K
Free body diagram of pin support and cable
Replies
10
Views
5K
Torque and Rotational Equilibrium with a slanted Rod/Cable
Replies
7
Views
2K
Force on a pin from a pendulum and a string
Replies
4
Views
3K
How to Calculate Tension Forces in a System?
Replies
4
Views
1K
Calculating tensions in ropes suspending an onject
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top