# Equilibrium and principle of triangle of forces

• verb tense
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.

#### verb tense

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!

#### Attachments

• ji.jpg
15.5 KB · Views: 499
Well, have you tried putting the 10 kg mass at the apex of the triangle? What forces might develop as a result?

My problem is drawing the diagram i know the things to do. Please can you help me draw the diagram?

#### Attachments

• ji.jpg
16.1 KB · Views: 477
You have a diagram. With the 10 kg weight attached to the apex of the triangle, what tensions develop in the ropes?

60N and 40N

## 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.