Question

4. До тіла вздовж однієї прямої прикладено три сили, що відповідно дорівнюють 10 H, 15 Н. 25 Н. Чому може дорівнювати рівнодійна цих сил? Спробуйте знайти усі можливі варіанти. Відповідь поясніть за допомогою рисунка.

Answer 1

Відповідь:R=F1+F2+F3=20+30+50=100H

Объяснение:

Ми просто додаємо сили бо вони напрямлені в одну сторону

Answer 2

Force Equilibrium and Resultant Force

When three forces are applied along a straight line, the resultant force can be determined by considering the magnitude and direction of each force. In this case, three forces are applied: 10 N, 15 N, and 25 N. The resultant force, or the equilibrant, is the single force that can replace the original forces and produce the same effect. Let's explore the possible values for the resultant force and explain it with the help of a diagram.

Possible Values for Resultant Force

1. Resultant force equals the sum of the forces: The resultant force could be the sum of the three forces if they are all in the same direction. This would result in a resultant force of 10 N + 15 N + 25 N = 50 N .

2. Resultant force equals the difference of the forces: If the forces are in opposite directions, the resultant force could be the difference between the larger force and the sum of the smaller forces. For example, if the 25 N force is in the opposite direction to the 10 N and 15 N forces, the resultant force would be 25 N - (10 N + 15 N) = 0 N, indicating equilibrium .

3. Resultant force equals zero: Another possibility is that the forces are balanced in such a way that the resultant force is zero. This occurs when the forces are arranged such that they form a closed triangle, known as a closed polygon of forces. In this case, the forces would form a closed triangle with sides of 10 N, 15 N, and 25 N, resulting in a zero resultant force .

Explanation with a Diagram

To visually explain the possible values for the resultant force, consider a diagram where the forces are represented as arrows along a straight line. The length of each arrow corresponds to the magnitude of the force, and the direction of the arrow indicates the direction of the force. By arranging the arrows according to the given forces, it becomes evident how the resultant force can be calculated based on the relative magnitudes and directions of the forces.

By considering these possibilities and visualizing them with a diagram, the concept of force equilibrium and the resultant force can be better understood.